sbv
SMT Based Verification: Symbolic Haskell theorem prover using SMT solving. http://leventerkok.github.com/sbv/
Version on this page:  8.0 
LTS Haskell 13.8:  7.13 
Stackage Nightly 20190223:  8.0 
Latest on Hackage:  8.0 
Module documentation for 8.0
 Data
 Documentation
 Documentation.SBV
 Documentation.SBV.Examples
 Documentation.SBV.Examples.BitPrecise
 Documentation.SBV.Examples.CodeGeneration
 Documentation.SBV.Examples.CodeGeneration.AddSub
 Documentation.SBV.Examples.CodeGeneration.CRC_USB5
 Documentation.SBV.Examples.CodeGeneration.Fibonacci
 Documentation.SBV.Examples.CodeGeneration.GCD
 Documentation.SBV.Examples.CodeGeneration.PopulationCount
 Documentation.SBV.Examples.CodeGeneration.Uninterpreted
 Documentation.SBV.Examples.Crypto
 Documentation.SBV.Examples.Existentials
 Documentation.SBV.Examples.Lists
 Documentation.SBV.Examples.Misc
 Documentation.SBV.Examples.Misc.Auxiliary
 Documentation.SBV.Examples.Misc.Enumerate
 Documentation.SBV.Examples.Misc.Floating
 Documentation.SBV.Examples.Misc.ModelExtract
 Documentation.SBV.Examples.Misc.NoDiv0
 Documentation.SBV.Examples.Misc.Polynomials
 Documentation.SBV.Examples.Misc.SoftConstrain
 Documentation.SBV.Examples.Misc.Tuple
 Documentation.SBV.Examples.Misc.Word4
 Documentation.SBV.Examples.Optimization
 Documentation.SBV.Examples.ProofTools
 Documentation.SBV.Examples.Puzzles
 Documentation.SBV.Examples.Puzzles.Birthday
 Documentation.SBV.Examples.Puzzles.Coins
 Documentation.SBV.Examples.Puzzles.Counts
 Documentation.SBV.Examples.Puzzles.DogCatMouse
 Documentation.SBV.Examples.Puzzles.Euler185
 Documentation.SBV.Examples.Puzzles.Fish
 Documentation.SBV.Examples.Puzzles.Garden
 Documentation.SBV.Examples.Puzzles.HexPuzzle
 Documentation.SBV.Examples.Puzzles.LadyAndTigers
 Documentation.SBV.Examples.Puzzles.MagicSquare
 Documentation.SBV.Examples.Puzzles.NQueens
 Documentation.SBV.Examples.Puzzles.SendMoreMoney
 Documentation.SBV.Examples.Puzzles.Sudoku
 Documentation.SBV.Examples.Puzzles.U2Bridge
 Documentation.SBV.Examples.Queries
 Documentation.SBV.Examples.Queries.AllSat
 Documentation.SBV.Examples.Queries.CaseSplit
 Documentation.SBV.Examples.Queries.Enums
 Documentation.SBV.Examples.Queries.FourFours
 Documentation.SBV.Examples.Queries.GuessNumber
 Documentation.SBV.Examples.Queries.Interpolants
 Documentation.SBV.Examples.Queries.UnsatCore
 Documentation.SBV.Examples.Strings
 Documentation.SBV.Examples.Transformers
 Documentation.SBV.Examples.Uninterpreted
 Documentation.SBV.Examples
 Documentation.SBV
Changes

Latest Hackage released version: 8.0, 20190114
Version 8.0, 20190114

This is a major release of SBV, with several BACKWARDS COMPATIBILITY breaking changes. Lots of reworking of the internals to modernize the SBV code base. A few external API changes happened as well, mainly in terms of renamed types/operators to reflect the current state of things. I expect most end user programs to carry over unchanged, perhaps needing a bunch of renames. See below for details.

Transformer stack and
SymbolicT
: This major internal revamping was contributed by Brian Schroeder. Brian reworked the internals of SBV to allow for custom monad stacks. In particular, there is now aSymbolicT
monad transformer, which generalizes theSymbolic
monad over an arbitrary base type, allowing users to build SBV based symbolic execution engines on top of their own monad infrastructure.Brian took the pains to ensure existing users (or those who do not have their own monad stack), the transformer capabilities remain transparent. That is, your existing code should recompile as is, or perhaps with minor aesthetic changes. Please report if you find otherwise, or need help.
See
Documentation.SBV.Examples.Transformers.SymbolicEval
for an example of how to use the transformer based code.Thanks to Brian Schroeder for this massive effort to modernize the SBV codebase!

Support for tuples: Thanks to Joel Burget, SBV now supports tuple types (upto 8tuples), and allows mixing and matching of lists and tuples arbitrarily as symbolic values. For instance
SBV [(Integer, String)]
is a valid type as isSBV [(Integer, [(Char, (Float, String))])]
, with each component symbolically represented. There are new type synonyms forSTupleN
forN
between 2 to 8, along withuntuple
destructor, and field accessors similar to lens: For instancep^._4
would project the 4th element of a tuple that has at least 4 fields. The mixing and matching of field types and nesting allows for very rich symbolic value representations. SeeDocumentation.SBV.Examples.Misc.Tuple
for an example. 
[BACKWARDS COMPATIBILITY] The
Boolean
class is removed, which used to abstract over logical connectives. Previously, this class handled ‘SBool’ and ‘Bool’, but the generality was hardly ever used and caused typing ambiguities. The new implementation simplifies boolean operators to simply operate on theSBool
type. Also changed the operator names to fit with all the others by starting them with dots. A simple conversion guide:* Literal True : true became sTrue * Literal False: false became sFalse * Negation : bNot became sNot * Conjunction : &&& became .&& * Disjunction :  became . * XOr : <+> became .<+> * Nand : ~& became .~& * Nor : ~ became .~ * Implication : ==> became .=> * Iff : <=> became .<=> * Aggregate and: bAnd became sAnd * Aggregate or : bOr became sOr * Existential : bAny became sAny * Universal : bAll became sAll

[BACKWARDS COMPATIBILITY, INTERNAL] Hostorically, SBV focused on bitvectors and machine words, which meant lots of internal types were named suggestive of this heritage. With the addition of
SInteger
,SReal
,SFloat
,SDouble
we have expanded this, but still remained focused on atomic types. But, thanks largely to Joel Burget, SBV now supports symbolic characters, strings, lists, and now tuples, and nested tuples/lists, which makes this wordoriented naming confusing. To reflect, we made the following internal renamings:* SymWord became SymVal * SW became SV * CW became CV * CWVal became CVal
Along with these, many of the internal constructor/variable names also changed in a similar fashion.
For most casual users, these changes should not require any changes. But if you were developing libraries on top of SBV, then you will have to adapt to the new schema. Please report if there are any gotchas we have forgotten about.

[BACKWARDS COMPATIBILITY] When user queries are present, SBV now picks the logic “ALL” (as opposed to a suitable variant of bitvectors as in the past versions). This can be overridden by the ‘setLogic’ command as usual of course. While the new choice breaks backwards compatibility, I expect the impact will be minimal, and the new behavior matches better with user expectations on how external queries are usually employed.

[BACKWARDS COMPATIBILITY] Renamed the module
Data.SBV.List.Bounded
toData.SBV.Tools.BoundedList
. 
Introduced a
Queriable
class, which simplifies symbolic programming with composite user types. SeeDocumentation.SBV.Examples.ProofTools
directory for several use cases and examples. 
Added function
observeIf
, companion toobserve
. Allows observing of values if they satisfy a given predicate. 
Added function
ensureSat
, which makes sure the solver context is satisfiable when called in the query mode. If not, an error will be thrown. Simplifies programming when we expect a satisfiable result and want to bail out if otherwise. 
Added
nil
toData.SBV.List
. Addednil
anduncons
toData.SBV.String
. These were inadvertently left out previously. 
Add
Data.SBV.Tools.BMC
module, which provides a BMC (boundedmodel checking engine) for traditional state transition systems. SeeDocumentation.SBV.Examples.ProofTools.BMC
for example uses. 
Add
Data.SBV.Tools.Induction
module, which provides an induction engine for traditional state transition systems. Also added several example use cases in the directoryDocumentation.SBV.Examples.ProofTools
.
Version 7.13, 20181216

Generalize the types of
bminimum
andbmaximum
by removing theNum
constraint. 
Change the type of
observe
from:SymWord a => String > SBV a > Symbolic ()
toSymWord a => String > SBV a > SBV a
. This allows for more concise observables, like this:prove $ \x > observe "lhs" (x+x) .== observe "rhs" (2*x+1) Falsifiable. Counterexample: s0 = 0 :: Integer lhs = 0 :: Integer rhs = 1 :: Integer

Add
Data.SBV.Tools.Range
module which definesranges
andrangesWith
functions: They compute the satisfying contiguous ranges for predicates with a single variable. SeeData.SBV.Tools.Range
for examples. 
Add
Data.SBV.Tools.BoundedFix
module, which defines the operatorbfix
that can be used as a bounded fixedpoint operator for use in boundedmodelchecking like algorithms. SeeData.SBV.Tools.BoundedFix
for some example use cases. 
Fix listelement extraction code, which asserted too strong a constraint. See issue #421 for details. Thanks to Joel Burget for reporting.

New bounded list functions:
breverse
,bsort
,bfoldrM
,bfoldlM
, andbmapM
. Contributed by Joel Burget. 
Add two new puzzle examples:
Documentation.SBV.Examples.Puzzles.LadyAndTigers
Documentation.SBV.Examples.Puzzles.Garden
Version 7.12, 20180923

Modifications to make SBV compile with GHC 8.6.1. (SBV should now compile fine with all versions of GHC since 8.0.1; and possibly earlier. Please report if you are using a version in this range and have issues.)

Improve the BoundedMutex example to show a nonfair trace. See
Documentation/SBV/Examples/Lists/BoundedMutex.hs
. 
Improve Haddock documentation links throughout.
Version 7.11, 20180920

Add support for symbolic lists. (That is, arbitrary but fixed length symbolic lists of integers, floats, reals, etc. Nested lists are allowed as well.) This is building on top of Joel Burget’s initial work for supporting symbolic strings and sequences, as supported by Z3. Note that the list theory solvers are incomplete, so some queries might receive an unknown answer. See
Documentation/SBV/Examples/Lists/Fibonacci.hs
for an example, and the moduleData.SBV.List
for details. 
A new module
Data.SBV.List.Bounded
provides extra functions to manipulate lists with given concrete bounds. Note that SMT solvers cannot deal with recursive functions/inductive proofs in general, so the utilities in this file can come in handy when expressing boundedmodelchecking style algorithms. SeeDocumentation/SBV/Examples/Lists/BoundedMutex.hs
for a simple mutex algorithm proof. 
Remove dependency on databinaryieee754 package; which is no longer supported.
Version 7.10, 20180720

[BACKWARDS COMPATIBILITY] ‘==’ and ‘/=’ now always throw an error instead of only throwing an error for nonconcrete values. https://github.com/LeventErkok/sbv/issues/301

[BACKWARDS COMPATIBILITY] Array declarations are reworked to take an initial value. The call ‘newArray’ now accepts an optional default value, which itself can be symbolic. If provided, the array will return the given value for all reads from uninitialized locations. If not given, then reads from unwritten locations produce uninterpreted constants. The behavior of ‘SFunArray’ and ‘SArray’ is exactly the same in this regard. Note that this is a backwardscompatibility breaking change, as you need to pass a ‘Nothing’ argument to ‘newArray’ to get the old behavior. (Solver note: If you use ‘SFunArray’, then defaults are fully supported by SBV since these are internally handled, concrete or symbolic. If you use ‘SArray’, which gets translated to SMTLib, then MathSAT and Z3 supports default values with both concrete and symbolic cases, CVC4 only supports if they are constants. Boolector and Yices don’t support default values at this point in time, and ABC doesn’t support arrays at all.)

[BACKWARDS COMPATIBILITY] SMTException type has been renamed to SBVException. SBV now throws this exception in more cases to aid in building tools on top of SBV that might want to deal with exceptions in different ways. (Previously, we used to call ‘error’ instead.)

[BACKWARDS COMPATIBILITY] Rename ‘assertSoft’ to ‘assertWithPenalty’, which better reflects the nature of this function. Also add extra checks to warn the user if optimization constraints are present in a regular sat/prove call.

Implement
softConstrain
: Similar to ‘constrain’, except the solver is free to leave it unsatisfied (i.e., leave it false) if necessary to find a satisfying solution. Useful in modeling conditions that are “nicetohave” but not “required.” Note that this is similar to ‘assertWithPenalty’, except it works in nonoptimization contexts. SeeDocumentation.SBV.Examples.Misc.SoftConstrain
for a simple example. 
Add ‘CheckedArithmetic’ class, which provides bitvector arithmetic operations that do automatic underflow/overflow checking. The operations follow their regular counterparts, with an exclamation mark added at the end: +!, !, *!, /!. There is also negateChecked, for the same function on unary negation. If you program using these functions, then you can call ‘safe’ on the resulting programs to make sure these operations never cause underflow and overflow conditions.

Similar to above, add ‘sFromIntegralChecked’, providing overflow/underflow checks for cast operations.

Add
Documentation.SBV.Examples.BitPrecise.BrokenSearch
module to show the use of overflow checking utilities, using the classic broken binary search example from http://ai.googleblog.com/2006/06/extraextrareadallaboutitnearly.html 
Fix an issue where SBV was not sending array declarations to the SMTsolver if there were no explicit constraints. Thanks to Oliver Charles for reporting.

Rework ‘SFunArray’ implementation, addressing performance issues. We now carefully memoize elements as we do the lookups. This addresses several perfomance issues that came up; hopefully providing some relief. The function ‘mkSFunArray’ is also removed, which used to lift Haskell functions to such arrays, often used to implement initial values. Now, if a read is done on an unwritten element of ‘SFunArray’ we get an uninterpreted constant. This is inline with how ‘SArray’ works, and is consistent. The old ‘SFunArray’ implementation based on functions is no longer available, though it is easy to implement it in userspace if needed. Please get in contact if this proves to be an issue.

Add ‘freshArray’ to allow for creation of existential fresh arrays in the query mode. This is similar to ‘newArray’ which works in the Symbolic mode, and is analogous to ‘freshVar’. Most users shouldn’t need this as ‘newArray’ calls should suffice. Only use if you need a brand new array after switching to query mode.

SBV now rejects queries if universally quantified inputs are present. Previously these were allowed to go through, but in general skolemization makes the corresponding variables unusable in the query context. See http://github.com/LeventErkok/sbv/issues/407 for details. If you have an actual use case for such a feature, please get in touch. Thanks to Brian Schroeder for reporting this anomaly.

Export ‘addSValOptGoal’ from ‘Data.SBV.Internals’, to help with ‘Metric’ class instantiations. Requested by Dan Rosen.

Export ‘registerKind’ from ‘Data.SBV.Internals’, to help with custom array declarations. Thanks to Brian Schroeder for the patch.

If an asynchronous exception is caught, SBV now throws it back without further processing. (For instance, if the backend solver gets killed. Previously we were turning these into synchronous errors.) Thanks to Oliver Charles for pointing out this corner case.
Version 7.9, 20180615

Add support for bitvector arithmetic underflow/overflow detection. The new ‘ArithmeticOverflow’ class captures conditions under which addition, subtraction, multiplication, division, and negation can underflow/overflow for both signed and unsigned bitvector values. The implementation is based on http://www.microsoft.com/enus/research/wpcontent/uploads/2016/02/z3prefix.pdf, and can be used to detect overflow caused bugs in machine arithmetic. See
Data.SBV.Tools.Overflow
for details. 
Add ‘sFromIntegralO’, which is the overflow/underflow detecting variant of ‘sFromIntegral’. This function returns (along with the converted result), a pair of booleans showing whether the conversion underflowed or overflowed.

Change the function ‘getUnknownReason’ to return a proper datatype (‘SMTReasonUnknown’) as opposed to a mere string. This is at the query level. Similarly, change
Unknown
result to return the same datatype at the sat/prove level. 
Interpolants: With Z3 4.8.0 release, Z3 folks have dropped support for producing interpolants. If you need interpolants, you will have to use the MathSAT backend now. Also, the MathSAT API is slightly different from how Z3 supported interpolants as well, which means your old code will need some modifications. See the example in Documentation.SBV.Examples.Queries.Interpolants for the new usage.

Add ‘constrainWithAttribute’ call, which can be used to attach arbitrary attribute to a constraint. Main use case is in interpolant generation with MathSAT.

C code generation: SBV now spits out linker flag lm if needed. Thanks to Matt Peddie for reporting.

Code reorg: Simplify constant mapping table, by properly accounting for negativezero floats.

Export ‘sexprToVal’ for the class SMTValue, which allows for custom definitions of value extractions. Thanks to Brian Schroeder for the patch.

Export ‘Logic’ directly from Data.SBV. (Previously was from Control.)

Fix a long standing issue (ever since we introduced queries) where ‘sAssert’ calls were run in the context of the final output boolean, which is simply the wrong thing to do.
Version 7.8, Released 20180518

Fix printing of minbounds for signed 32/64 bit numbers in C code generation: These are tricky since C does not allow min_value as a valid literal! Instead we use the macros provided in stdint.h. Thanks to Matt Peddie for reporting this corner case.

Fix translation of the
abs
function in C code generation, making sure we use the correct variant. Thanks to Matt Peddie for reporting. 
Fix handling of tables and arrays in pushedcontexts. Previously, we used initializers to get table/array values stored properly. However, this trick does not work if we are in a pushedcontext; since a pop can forget the corresponding assignments. SBV now handles this corner case properly, by using tracker assertions to keep track of what array values must be restored at each pop. Thanks to Martin Brain on the SMTLib mailing list for the suggestion. (See https://github.com/LeventErkok/sbv/issues/374 for details.)

Fix corner case in ite branch equality with float/double arguments, where we were previously confusing +/0 as equal to each other. Thanks to Matt Peddie for reporting.

Add a call ‘cgOverwriteFiles’, which suppresses codegeneration prompts for overwriting files and quiets the prompts during code generation. Thanks to Matt Peddie for the suggestion.

Add support for uninterpreted function introductions in the query mode. Previously, this was only allowed before the query started, now we fully support uninterpreted functions in all modes.

New example: Documentation/SBV/Examples/Puzzles/HexPuzzle.hs, showing how to code cover properties using SBV, using a form of bounded model checking.
Version 7.7, Released 20180429

Add support for Symbolic characters (‘SChar’) and strings (‘SString’.) Thanks to Joel Burget for the initial implementation.
The ‘SChar’ type currently corresponds to the Latin1 character set, and is thus a subset of the Haskell ‘Char’ type. This is due to the current limitations in SMTsolvers. However, there is a pending SMTLib proposal to support unicode, and SBV will track these changes to have full unicode support: For further details see: http://smtlib.cs.uiowa.edu/theoriesUnicodeStrings.shtml
The ‘SString’ type is the type of symbolic strings, consisting of characters from the Latin1 character set currently, just like the planned ‘SChar’ improvements. Note that an ‘SString’ is not simply a list of ‘SChar’ values: It is a symbolic type of its own and is processed as a single item. Conversions from list of characters is possible (via the ‘implode’ function). In the other direction, one cannot generally ‘explode’ a string, since it may be of arbitrary length and thus we would not know what concrete list to map it to. This is a bit unlike Haskell, but the differences dissipate quickly in general, and the power of being able to deal with a string as a symbolic entity on its own opens up many verification possibilities.
Note that currently only Z3 and CVC4 has support for this logic, and they do differ in some details. Various character/string operations are supported, including length, concatenation, regularexpression matching, substrig operations, recognizers, etc. If you use this logic, you are likely to find bugs in solvers themselves as support is rather new: Please report.

If unsatcore extraction is enabled, SBV now returns the unsatcore directly with in a solver result. Thanks to Ara Adkins for the suggestion.

Add ‘observe’. This function allows internal expressions to be given values, which will be part of the satisfyin model or the counterexample upon model construction. Useful for tracking expected/returned values. Also works with quickCheck.

Revamp Haddock documentation, hopefully easier to follow now.

Slightly modify the generatedC headers by removing whitespace. This allows for certain “lint” rules to pass when SBV generated code is used in conjunction with a larger code base. Thanks to Greg Horn for the pull request.

Improve implementation of ‘svExp’ to match that of ‘.^’, making it more defined when the exponent is constant. Thanks to Brian Huffman for the patch.

Export the underlying polynomial representation for algorithmic reals from the Internals module for further user processing. Thanks to Jan Path for the patch.
Version 7.6, Released 20180318

GHC 8.4.1 compatibility: Work around compilation issues. SBV now compiles cleanly with GHC 8.4.1.

Define and export sWordN, sWordN_, sIntN_, from the Dynamic interface, which simplifies creation of variables of arbitrary bit sizes. These are similar to sWord8, sInt8, etc.; except they create dynamic counterparts that can be of arbitrary bit size.
Version 7.5, Released 20180113

Remove obsolote references to tactics in a few haddock comments. Thanks to Matthew Pickering for reporting.

Added logic Logic_NONE, to be used in cases where SBV should not try to set the logic. This is useful when there is no viable value to set, and the backend solver doesn’t understand the SMTLib convention of using “ALL” as the logic name. (One example of this is the Yices solver.)

SBV now returns SMTException (instead of just calling error) in case the backend solver responds with error message. The type SMTException can be caught by the user programs, and it includes many fields as an indication of what went wrong. (The command sent, what was expected, what was seen, etc.) Note that if this exception is ever caught, the backend solver is no longer alive: You should either just throw it, or perform proper cleanup on your user code as required to set up a new context. The provided show instance formats the exception nicely for display purposes. See https://github.com/LeventErkok/sbv/issues/335 for details and thanks to Brian Huffman for reporting.

SIntegral class now has Integral as a superclass, which ensures the basetype it’s used at is Integral. This was already true for all instances, so we are just making it more explicit.

Improve the implementation of .^ (exponentiation) to cover more cases, in particular signed exponents are now OK so long as they are concrete and positive, following Haskell convention.

Removed the ‘FromBits’ class. Its functionality is now merged with the new ‘SFiniteBits’ class, see below.

Introduce ‘SFiniteBits’ class, which only incorporates finitewords in it, i.e., SWord/SInt for 8163264. In particular it leaves out SInteger, SFloat, SDouble, and SReal. Important in recognizing bitvectors of finite size, essentially. Here are the methods:
class (SymWord a, Num a, Bits a) => SFiniteBits a where sFiniteBitSize :: SBV a > Int  ^ Bit size lsb :: SBV a > SBool  ^ Least significant bit of a word, always stored at index 0. msb :: SBV a > SBool  ^ Most significant bit of a word, always stored at the last position. blastBE :: SBV a > [SBool]  ^ Bigendian blasting of a word into its bits. Also see the 'FromBits' class. blastLE :: SBV a > [SBool]  ^ Littleendian blasting of a word into its bits. Also see the 'FromBits' class. fromBitsBE :: [SBool] > SBV a  ^ Reconstruct from given bits, given in littleendian fromBitsLE :: [SBool] > SBV a  ^ Reconstruct from given bits, given in littleendian sTestBit :: SBV a > Int > SBool  ^ Replacement for 'testBit', returning 'SBool' instead of 'Bool' sExtractBits :: SBV a > [Int] > [SBool]  ^ Variant of 'sTestBit', where we want to extract multiple bit positions. sPopCount :: SBV a > SWord8  ^ Variant of 'popCount', returning a symbolic value. setBitTo :: SBV a > Int > SBool > SBV a  ^ A combo of 'setBit' and 'clearBit', when the bit to be set is symbolic. fullAdder :: SBV a > SBV a > (SBool, SBV a)  ^ Full adder, returns carryout from the addition. Only for unsigned quantities. fullMultiplier :: SBV a > SBV a > (SBV a, SBV a)  ^ Full multipler, returns both high and loworder bits. Only for unsigned quantities. sCountLeadingZeros :: SBV a > SWord8  ^ Count leading zeros in a word, bigendian interpretation sCountTrailingZeros :: SBV a > SWord8  ^ Count trailing zeros in a word, bigendian interpretation
Note that the functions ‘sFiniteBitSize’, ‘sCountLeadingZeros’, and ‘sCountTrailingZeros’ are new. Others have existed in SBV before, we are just grouping them together now in this new class.

Tightened certain signatures where SBV was too liberal, using the SFiniteBits class. New signatures are:
sSignedShiftArithRight :: (SFiniteBits a, SIntegral b) => SBV a > SBV b > SBV a crc :: (SFiniteBits a, SFiniteBits b) => Int > SBV a > SBV b > SBV b readSTree :: (SFiniteBits i, SymWord e) => STree i e > SBV i > SBV e writeSTree :: (SFiniteBits i, SymWord e) => STree i e > SBV i > SBV e > STree i e
Thanks to Thomas DuBuisson for reporting.
Version 7.4, 20171103

Export queryDebug from the Control module, allowing custom queries to print debugging messages with the verbose flag is set.

Relax valueparsing to allow for nonstandard output from solvers. For instance, MathSAT/Yices prints reals as integers when they do not have a fraction. We now support such cases, relaxing the standard slightly. Thanks to Geoffrey Ramseyer for reporting.

Fix optimization routines when applied to signedbitvector goals. Thanks to Anders Kaseorg for reporting. Since SMTLib does not distinguish between signed and unsigned bitvectors, we have to be careful when expressing goals that are over signed values. See https://github.com/LeventErkok/sbv/issues/333 for details.
Version 7.3, 20170906

Query mode: Add support for arrays in query mode. Thanks to Brad Hardy for providing the usecase and debugging help.

Query mode: Add support for tables. (As used by ‘select’ calls.)
Version 7.2, 20170829

Reworked implementation of shifts and rotates: When a signed quantity was being shifted right by more than its size, SBV used to return 0. Robert Dockins pointed out that the correct answer is actually 1 in such cases. The new implementation merges the dynamic and typed interfaces, and drops support for nonconstant shifts of unbounded integers, which is not supported by SMTLib. Thanks to Robert for reporting the issue and identifying the root cause.

Rework how quantifiers are handled: We now generate separate asserts for prefixexistentials. This allows for better (smaller) quantified code, while preserving semantics.

Rework the interaction between quantifiers and optimization routines. Optimization routines now properly handle quantified formulas, so long as the quantified metric does not involve any universal quantification itself. Thanks to Matthew Danish for reporting the issue.

Development/Infrastructure: Lots of work around the continuous integration for SBV. We now build/test on Linux/Mac/Windows on every commit. Thanks to Travis/Appveyor for providing free remote infrastructure. There are still gotchas and some reductions in tests due to host capacity issues. If you would like to be involved and improve the test suite, please get in touch!
Version 7.1, 20170729

Add support for ‘getInterpolant’ in Query mode.

Support for SMTresults that can contain multiline strings, which is rare but it does happen. Previously SBV incorrectly interpreted such responses to be erroneous.

Many improvements to build infrastructure and code cleanup.

Fix a bug in the implementation of
svSetBit
. Thanks to Robert Dockins for the report.
Version 7.0, 20170719

NB. SBV now requires GHC >= 8.0.1 to compile. If you are stuck with an older version of GHC, please get in contact.

This is a major rewrite of the internals of SBV, and is a backwards compatibility breaking release. While we kept the toplevel and most commonly used APIs the same (both types and semantics), much of the internals and advanced features have been rewritten to move SBV to a new model of execution: SBV no longer runs your program symbolically and calls the SMT solver afterwards. Instead, the interaction with the solver happens interleaved with the actual program execution. The motivation is to allow the endusers to send/receive arbitrary SMTLib commands to the solver, instead of the cookedup recipes. SBV still provides all the recipes for its existing functionality, but users can now interact with the solver directly. See the module
Data.SBV.Control
for the main API, together with the new functions ‘runSMT’ and ‘runSMTWith’. 
The ‘Tactic’ based solver control (introduced in v6.0) is completely removed, and is replaced by the above described mechanism which gives the user a lot of flexibility instead. Use queries for anything that required a tactic before.

The call ‘allSat’ has been reworked so it performs only one call to the underlying solver and repeatedly issues checksat to get new assignments. This differs from the previous implementation where we spun off a new call to the executable for each successive model. While this is more efficient and much more preferable, it also means that the results are no longer lazily computed: If there is an infinite number of solutions (or a very large number), you can no longer merely do a ‘take’ on the result. While this is inconvenient, it fits better with our new methodology of query based interaction. Note that the old behavior can be modeled, if required, by the user; by explicitly interleaving the calls to ‘sat.’ Furthermore, we now provide a new configuration parameter named ‘allSatMaxModelCount’ which can be used to limit the number models we seek. The default is to get all models, however long that might take.

The Bridge modules (
Data.SBV.Bridge.Yices
,Data.SBV.Bridge.Z3
) etc. are all removed. The bridge functionality was hardly used, where different solvers were much easier to access using thewith
functions. (Such asproveWith
,satWith
etc.) This should result in no loss of functionality, except for occasional explicit mention of solvers in your code, if you were using bridge modules to start with. 
Optimization routines have been changed to take a priority as an argument, (i.e., Lexicographic, Independent, etc.). The old method of supplying the priority via tactics is no longer supported.

Paretofront extraction has been reworked, reflecting the changes in Z3 for this functionality. Since paretofronts can be infinite in number, the user is now allowed to specify a “limit” to stop the solver from querying ad infinitum. If the limit is not specified, then sbv will query till it exhausts all the paretofronts, or till it runs out of memory in case there is an infinite number of them.

Extraction of unsatcores has changed. To use this feature, we now use custom queries. See
Data.SBV.Examples.Misc.UnsatCore
for an example. Old style of unsatcore extraction is no longer supported. 
The ‘timing’ option of SMTConfig has been reworked. Since we now start the solver immediately, it is no longer sensible to distinguish between “SBV” time, “translation” time etc. Instead, we print one simple “Elapsed” time if requested. If you need a detailed timing analysis, use the new ‘transcript’ option to SMTConfig: It will produce a file with precise timing intervals for each command issued to help you figure out how long each step took.

The following functions have been reworked, so they now also return the timeelapsed for each solver:
satWithAll :: Provable a => [SMTConfig] > a > IO [(Solver, NominalDiffTime, SatResult)] satWithAny :: Provable a => [SMTConfig] > a > IO (Solver, NominalDiffTime, SatResult) proveWithAll :: Provable a => [SMTConfig] > a > IO [(Solver, NominalDiffTime, ThmResult)] proveWithAny :: Provable a => [SMTConfig] > a > IO (Solver, NominalDiffTime, ThmResult)

Changed the way
satWithAny
andproveWithAny
works. Previously, these two functions ran multiple solvers, and took the result of the first one to finish, killing all the others. In addition, they waited for the stillrunning solvers to finish cleaningup, as sending a ‘ThreadKilled’ is usually not instantaneous. Furthermore, a solver might simply take its time! We now send the interrupt but do not wait for the process to actually terminate. In rare occasions this could create zombie processes if you use a solver that is not cooperating, but we have seen not insignificant speedups for regular usage due to ThreadKilled wait times being rather long. 
Configuration option
useLogic
is removed. If required, this should be done by a call to the new ‘setLogic’ function:setLogic QF_NRA

Configuration option
timeOut
is removed. This was rarely used, and the solver support was rather sketchy. We now have a better mechanism in the query mode for timeouts, where it really matters. Please get in touch if you relied on this old mechanism. Correspondingly, the functionsisTheorem
,isSatisfiable
,isTheoremWith
andisSatisfiableWith
had their timeout arguments removed and return types simplified. 
The function ‘isSatisfiableInCurrentPath’ is removed. Proper queries should be used for what this function tentatively attempted to provide. Please get in touch if you relied on this function and want to restructure your code to use proper queries.

Configuration option ‘smtFile’ is removed. Instead use ‘transcript’ now, which provides a much more detailed output that is directly loadable to a solver and has an accurate account of precisely what SBV sent.

Enumerations are now much easier to use symbolically, with the addition of the templatehaskell splice mkSymbolicEnumeration. See
Data/SBV/Examples/Misc/Enumerate.hs
for an example. 
Thanks to Kanishka Azimi, our external test suite is now run by Tasty! Kanishka modernized the test suite, and reworked the infrastructure that was showing its age. Thanks!

The function pConstrain and the Data.SBV.Tools.ExpectedValue are removed. Probabilistic constraints were rarely used, and if necessary can be implemented outside of SBV. If you were using this feature, please get in contact.

SArray and SFunArray has been reworked, and they no longer take and initial value. Similarly resetArray has been removed, as it did not really do what it advertised. If an initial value is needed, it is best to code this explicitly in your model.
Version 6.1, 20170526

Add support for unsatcore extraction. To use this feature, use the
namedConstraint
function:namedConstraint :: String > SBool > Symbolic ()
to associate a label to a constrain or a boolean term that can later be labeled by the backend solver as belonging to the unsatcore.
Unsatcores are not enabled by default since they can be expensive; to use:
satWith z3{getUnsatCore=True} $ do ...
In the programmatic API, the function:
extractUnsatCore :: Modelable a => a > Maybe [String]
can be used to programmatically extract the unsatcore. Note that backend solvers will only include the named expressions in the unsatcore, i.e., any unnamed yet partofthecoreunsat expressions will be missing; as speculated in the SMTLib document itself.
Currently, Z3, MathSAT, and CVC4 backends support unsatcores.
(Thanks to Rohit Ramesh for the suggestion leading to this feature.)

Added function
distinct
, which returns true if all the elements of the given list are different. This function replaces the oldallDifferent
function, which is now removed. The difference is thatdistinct
will produce much better code for SMTLib. If you usedallDifferent
before, simply replacing it withdistinct
should work. 
Add support for pseudoboolean operations:
pbAtMost :: [SBool] > Int > SBool pbAtLeast :: [SBool] > Int > SBool pbExactly :: [SBool] > Int > SBool pbLe :: [(Int, SBool)] > Int > SBool pbGe :: [(Int, SBool)] > Int > SBool pbEq :: [(Int, SBool)] > Int > SBool pbMutexed :: [SBool] > SBool pbStronglyMutexed :: [SBool] > SBool
These functions, while can be directly coded in SBV, produce better translations to SMTLib for more efficient solving of cardinality constraints. Currently, only Z3 supports pseudobooleans directly. For all other solvers, SBV will translate these to equivalent terms that do not require special functions.

The function getModel has been renamed to getAssignment. (The former name is now available as a query command.)

Export
SolverCapabilities
fromData.SBV.Internals
, in case users want access. 
Move codegeneration facilities to
Data.SBV.Tools.CodeGen
, no longer exporting the relevant functions directly fromData.SBV
. This could break existing code, but the fix should be as simple asimport Data.SBV.Tools.CodeGen
. 
Move the following two functions to
Data.SBV.Internals
:compileToSMTLib generateSMTBenchmarks
If you use them, please
import Data.SBV.Internals
. 
Reorganized
EqSymbolic
andEqOrd
classes to collect some of the similarly named function together. Users should see no impact due to this change.
Version 6.0, 20170507

This is a backwards compatibility breaking release, hence the major version bump from 5.15 to 6.0:
 Most of existing code should work with no changes.
 Old code relying on some features might require extra imports,
since we no longer export some functionality directly from
Data.SBV
. This was done in order to reduce the number of exported items to avoid extra clutter.  Old optimization features are removed, as the new and much improved capabilities should be used instead.

The next two bullets cover new features in SBV regarding optimization, based on the capabilities of the z3 SMT solver. With this release SBV gains the capability optimize objectives, and solve MaxSAT problems; by appropriately employing the corresponding capabilities in z3. A good review of these features as implemented by Z3, and thus what is available in SBV is given in this paper: http://www.easychair.org/publications/download/Z__Maximal_Satisfaction_with_Z3

SBV now allows for real or integral valued metrics. Goals can be lexicographically (default), independently, or paretofront optimized. Currently, only the z3 backend supports optimization routines.
Optimization can be done over bitvector, real, and integer goals. The relevant functions are:
 `minimize`: Minimize a given arithmetic goal  `maximize`: Minimize a given arithmetic goal
For instance, a call of the form
minimize "nameofgoal" $ x + 2*y
Minimizes the arithmetic goal x+2*y, where x and y can be bitvectors, reals, or integers. Such goals will be lexicographically optimized, i.e., in the order given. If there are multiple goals, then user can also ask for independent optimization results, or paretofronts.
Once the objectives are given, a top level call to
optimize
(similar toprove
andsat
) performs the optimization. 
SBV now implements softasserts. A soft assertion is a hint to the SMT solver that we would like a particular condition to hold if possible. That is, if there is a solution satisfying it, then we would like it to hold. However, if the set of constraints is unsatisfiable, then a softassertion can be violated by incurring a usergiven numeric penalty to satisfy the remaining constraints. The solver then tries to minimize the penalty, i.e., satisfy as many of the softasserts as possible such that the total penalty for those that are not satisfied is minimized.
Note that
assertSoft
works well with optimization goals (minimize/maximize etc.), and are most useful when we are optimizing a metric and thus some of the constraints can be relaxed with a penalty to obtain a good solution. 
SBV no longer provides the old optimization routines, based on iterative and quantifier based methods. Those methods were rarely used, and are now superseded by the above mechanism. If the old code is needed, please contact for help: They can be resurrected in your own code if absolutely necessary.

(NB. This feature is deprecated in 7.0, see above for its replacement.) SBV now implements tactics, which allow the user to navigate the proof process. This is an advanced feature that most users will have no need of, but can become handy when dealing with complicated problems. Users can, for instance, implement casesplitting in a proof to guide the underlying solver through. Here is the list of tactics implemented:
 `CaseSplit` : Casesplit, with implicit coverage. Bool says whether we should be verbose.  `CheckCaseVacuity` : Should the casesplits be checked for vacuity? (Default: True.)  `ParallelCase` : Run casesplits in parallel. (Default: Sequential.)  `CheckConstrVacuity`: Should constraints be checked for vacuity? (Default: False.)  `StopAfter` : Timeout given to solver, in seconds.  `CheckUsing` : Invoke with checksatusing command, instead of checksat  `UseLogic` : Use this logic, a custom one can be specified too  `UseSolver` : Use this solver (z3, yices, etc.)  `OptimizePriority` : Specify priority for optimization: Lexicographic (default), Independent, or Pareto.

Namespace cleanup. The following modules are no longer automatically exported from Data.SBV:
 `Data.SBV.Tools.ExpectedValue` (computing with expected values)  `Data.SBV.Tools.GenTest` (test case generation)  `Data.SBV.Tools.Polynomial` (polynomial arithmetic, CRCs etc.)  `Data.SBV.Tools.STree` (full symbolic binary trees)
To use the functionality of these modules, users must now explicitly import the corresponding module. Not other changes should be needed other than the explicit import.

Changed the signatures of:
isSatisfiableInCurrentPath :: SBool > Symbolic Bool svIsSatisfiableInCurrentPath :: SVal > Symbolic Bool
to:
isSatisfiableInCurrentPath :: SBool > Symbolic (Maybe SatResult) svIsSatisfiableInCurrentPath :: SVal > Symbolic (Maybe SatResult)
which returns the result in case of SAT. This is more useful than before. This is backwardscompatibility breaking, but is more useful. (Requested by Jared Ziegler.)

Add instance
Provable (Symbolic ())
, which simply stands for returning true for proof/sat purposes. This allows for simpler coding, as constrain/minimize/maximize calls (which return unit) can now be directly sat/prove processed, without needing a final call to return at the end. 
Add type synonym
Goal
(forSymbolic ()
), in order to simplify type signatures 
SBV now properly adds checksat commands and other directives in debugging output.

New examples:
 Data.SBV.Examples.Optimization.LinearOpt: Simple linearoptimization example.
 Data.SBV.Examples.Optimization.Production: Scheduling machines in a shop
 Data.SBV.Examples.Optimization.VM: Scheduling virtualmachines in a datacenter
Version 5.15, 20170130
 Bump up dependency on CrackNum >= 1.9, to get access to hexadecimal floats.
 Improve time/trackingprint code. Thanks to Iavor Diatchki for the patch.
Version 5.14, 20170112

Bump up QuickCheck dependency to >= 2.9.2 to avoid the following quickcheck bug http://github.com/nick8325/quickcheck/issues/113, which transitively impacted the quickcheck as implemented by SBV.

Generalize casts between integralfloats, using the rounding mode roundnearesttiestoeven. Previously calls to sFromIntegral did not support conversion to floats since it needed a rounding mode. But it does make sense to support them with the default mode. If a different mode is needed, use the function ‘toSFloat’ as before, which takes an explicit rounding mode.
Version 5.13, 20161029

Fix broken links, thanks to Stephan Renatus for the patch.

Code generation: Create directory path if it does not exist. Thanks to Robert Dockins for the patch.

Generalize the type of sFromIntegral, dropping the Bits requirement. In turn, this allowed us to remove sIntegerToSReal, since sFromIntegral can be used instead.

Add support for sRealToSInteger. (Essentially the floor function for SReal.)

Several spaceleaks fixed for better performance. Patch contributed by Robert Dockins.

Improved Random instance for Rational. Thanks to Joe LeslieHurd for the idea.
Version 5.12, 20160606

Fix GHC8.0 compliation issues, and warning cleanup. Thanks to Adam Foltzer for the bulk of the work and Tom Sydney Kerckhove for the initial patch for 8.0 compatibility.

Minor fix to printing models with floats when the base is 2/16, making sure the alignment is done properly accommodating for the crackNum output.

Wait for external process to die on exception, to avoid spawning zombies. Thanks to Daniel Wagner for the patch.

Fix hashconsed arrays: Previously we were caching based only on elements, which is not sufficient as you can have conflicts differing only on the address type, but same contents. Thanks to Brian Huffman for reporting and the corresponding patch.
Version 5.11, 20160115
 Fix documentation issue; no functional changes
Version 5.10, 20160114

Documentation: Fix a bunch of dead http links. Thanks to Andres SicardRamirez for reporting.

Additions to the Dynamic API:
 svSetBit : set a given bit
 svBlastLE, svBlastBE : Bitblast to big/little endian
 svWordFromLE, svWordFromBE: Unblast from big/little endian
 svAddConstant : Add a constant to an SVal
 svIncrement, svDecrement : Add/subtract 1 from an SVal
Version 5.9, 20160105

Default definition for ‘symbolicMerge’, which allows types that are instances of ‘Generic’ to have an automatically derivable merge (i.e., ite) instance. Thanks to Christian Conkle for the patch.

Add support for “nonmodelvars,” where we can now tell SBV not to take into account certain variables from a modelbuilding perspective. This comes handy in doing an
allSat
calls where there might be witness variables that we do not care the uniqueness for. SeeData/SBV/Examples/Misc/Auxiliary.hs
for an example, and the discussion in https://github.com/LeventErkok/sbv/issues/208 for motivation. 
Yices interface: If Reals are used, then pick the logic QF_UFLRA, instead of QF_AUFLIA. Unfortunately, logic selection remains tricky since the SMTLib story for logic selection is rather messy. Other solvers are not impacted by this change.
Version 5.8, 20160101
 Fix some typos
 Add ‘svEnumFromThenTo’ to the Dynamic interface, allowing dynamic construction of [x, y .. z] and [x .. y] when the involved values are concrete.
 Add ‘svExp’ to the Dynamic interface, implementing exponentiation
Version 5.7, 20151221
 Export
HasKind(..)
from the Dynamic interface. Thanks to Adam Foltzer for the patch.  More careful handling of SMTLib reserved names.
 Update tested version of MathSAT to 5.3.9
 Generalize
sShiftLeft
/sShiftRight
/sRotateLeft
/sRotateRight
to work with signed shift/rotate amounts, where negative values revert the direction. Similar generalizations are also done for the dynamic variants.
Version 5.6, 20151206

Minor changes to how we print models:

Align by the type

Always print the type (previously we were skipping for Bool)

Rework how SBV properties are quickchecked; much more usable and robust

Provide a function
sbvQuickCheck
, which is essentially the same as quickCheck, except it also returns a boolean. Useful for the programmable API. (The dynamic version is calledsvQuickCheck
.) 
Several changes/additions in support of the sbvPlugin development:

Data.SBV.Dynamic: Define/export
svFloat
/svDouble
/sReal
/sNumerator
/sDenominator

Data.SBV.Internals: Export constructors of
Result
,SMTModel
, and the functionshowModel

Simplify how Uninterpretedtypes are internally represented.
Version 5.5, 20151110
 This is essentially the same release as 5.4 below, except to allow SBV compile with GHC 7.8 series. Thanks to Adam Foltzer for the patch.
Version 5.4, 20151109

Add ‘sAssert’, which allows users to pepper their code with boolean conditions, much like the usual ASSERT calls. Note that the semantics of an ‘sAssert’ is that it is a NOOP, i.e., it simply returns its final argument. Use in coordination with ‘safe’ and ‘safeWith’, see below.

Implement ‘safe’ and ‘safeWith’, which statically determine all calls to ‘sAssert’ being safe to execute. Any violations will be flagged.

SBV>C: Translate ‘sAssert’ calls to dynamic checks in the generated C code. If this is not desired, use the ‘cgIgnoreSAssert’ function to turn it off.

Add ‘isSafe’: Which converts a ‘SafeResult’ to a ‘Bool’, when we are only interested in a boolean result.

Add Data/SBV/Examples/Misc/NoDiv0 to demonstrate the use of the ‘safe’ function.
Version 5.3, 20151020

Main point of this release to make SBV compile with GHC 7.8 again, to accommodate mainly for Cryptol. As Cryptol moves to GHC >= 7.10, we intend to remove the “compatibility” changes again. Thanks to Adam Foltzer for the patch.

Minor mods to how bitvector equality/inequality are translated to SMTLib. No user visible impact.
Version 5.2, 20151012
 Regression on 5.1: Fix a minor bug in base 2/16 printing where uninterpreted constants were not handled correctly.
Version 5.1, 20151010

fpMin, fpMax: If these functions receive +0/0 as their two arguments, i.e., both zeros but alternating signs in any order, then SMTLib requires the output to be nondeterministicly chosen. Previously, we fixed this result as +0 following the interpretation in Z3, but Z3 recently changed and now incorporates the nondeterministic output. SBV similarly changed to allow for nondeterminism here.

Change the types of the following Floatingpoint operations:
* sFloatAsSWord32, sFloatAsSWord32, blastSFloat, blastSDouble
These were previously coded as relations, since NaN values were not representable in the target domain uniquely. While it was OK, it was hard to use them. We now simply implement these as functions, and they are underspecified if the inputs are NaNs: In those cases, we simply get a symbolic output. The new types are:
 sFloatAsSWord32 :: SFloat > SWord32
 sDoubleAsSWord64 :: SDouble > SWord64
 blastSFloat :: SFloat > (SBool, [SBool], [SBool])
 blastSDouble :: SDouble > (SBool, [SBool], [SBool])

MathSAT backend: Use the SMTLib interpretation of fp.min/fp.max by passing the “theory.fp.minmax_zero_mode=4” argument explicitly.

Fix a bug in hashconsing of floatingpoint constants, where we were confusing +0 and 0 since we were using them as keys into the map though they compare equal. We now explicitly keep track of the negativezero status to make sure this confusion does not arise. Note that this bug only exhibited itself in rare occurrences of both constants being present in a benchmark; a true corner case. Note that @NaN@ values are also interesting in this context: Since NaN /= NaN, we never hashcons floating point constants that have the value NaN. But that is actually OK; it is a bit wasteful in case you have a lot of NaN constants around, but there is no soundness issue: We just waste a little bit of space.

Remove the functions
allSatWithAny
andallSatWithAll
. These two variants do not make sense when run with multiple solvers, as they internally sequentialize the solutions due to the nature ofallSat
. Not really needed anyhow; so removed. The variantssatWithAny/All
andproveWithAny/All
are still available. 
Export SMTLibVersion from the library, forgotten export needed by Cryptol. Thanks to Adam Foltzer for the patch.

Slightly modify modeloutputs so the variables are aligned vertically. (Only matters if we have modelvariable names that are of differing length.)

Move to TravisCI “docker” based infrastructure for builds

Enable local builds to use the Herbie plugin. Currently SBV does not have any expressions that can benefit from Herbie, but it is nice to have this support in general.
Version 5.0, 20150922

Note: This is a backwardscompatibility breaking release, see below for details.

SBV now requires GHC 7.10.1 or newer to be compiled, taking advantage of newer features/bugfixes in GHC. If you really need SBV to compile with older GHCs, please get in touch.

SBV no longer supports SMTLib1. We now exclusively use SMTLib2 for communicating with backend solvers. Strictly speaking, this means some loss in functionality: Uninterpretedfunction models that we supported via Yices1 are no longer available. In practice this facility was not really used, and required a very old version of Yices that was no longer supported by SRI and has lacked in other features. So, in reality this change should hardly matter for endusers.

Added function
label
, which is useful in emitting comments around expressions. It is essentially a noop, but does generate a comment with the given text in the SMTLib and C output, for diagnostic purposes. 
Added
sFromIntegral
: Conversions from all integral types (SInteger, SWord/SInts) between each other. Similar to thefromIntegral
function of Haskell. These generate simple casts when used in codegeneration to C, and thus are very efficient. 
SBV no longer supports the functions sBranch/sAssert, as we realized these functions can cause soundness issues under certain conditions. While the triggering scenarios are not common usecases for these functions, we are opting for safety, and thus removing support. See http://github.com/LeventErkok/sbv/issues/180 for details; and see below for the new function ‘isSatisfiableInCurrentPath’.

A new function ‘isSatisfiableInCurrentPath’ is added, which checks for satisfiability during a symbolic simulation run. This function can be used as the basis of sBranch/sAssert like functionality if needed. The difference is that this is a much lower level call, and also exposes the fact that the result is in the ‘Symbolic’ monad (which avoids the soundness issue). Of course, the new type makes it less useful as it will not be a dropin replacement for ifthenelse like structure. Intended to be used by tools built on top of SBV, as opposed to endusers.

SBV no longer implements the ‘SignCast’ class, as its functionality is replaced by the ‘sFromIntegral’ function. Programs using the functions ‘signCast’ and ‘unsignCast’ should simply replace both with calls to ‘sFromIntegral’. (Note that extra typeannotations might be necessary, similar to the uses of the ‘fromIntegral’ function in Haskell.)

Backend solver related changes:

Yices: Upgraded to work with Yices release 2.4.1. Note that earlier versions of Yices are not supported.

Boolector: Upgraded to work with new Boolector release 2.0.7. Note that earlier versions of Boolector are not supported.

MathSAT: Upgraded to work with latest release 5.3.7. Note that earlier versions of MathSAT are not supported (due to a buffering issue in MathSAT itself.)

MathSAT: Enabled floatingpoint support in MathSAT.


New examples:

Add Data.SBV.Examples.Puzzles.Birthday, which solves the CherylBirthday problem that went viral in April 2015. Turns out really easy to solve for SMT, but the formalization of the problem is still interesting as an exercise in formal reasoning.

Add Data.SBV.Examples.Puzzles.SendMoreMoney, which solves the classic send + more = money problem. Really a trivial example, but included since it is pretty much the helloworld for basic constraint solving.

Add Data.SBV.Examples.Puzzles.Fish, which solves a typical logic puzzle; finding the unique solution to a set of assertions made about a bunch of people, their pets, beverage choices, etc. Not particularly interesting, but could be fun to play around with for modeling purposes.

Add Data.SBV.Examples.BitPrecise.MultMask, which demonstrates the use of the bitvector solver to an interesting bitshuffling problem.


Rework floatingpoint arithmetic, and add missing floatingpoint operations:
 fpRem : remainder
 fpRoundToIntegral: truncating round
 fpMin : min
 fpMax : max
 fpIsEqualObject : FP equality as object (i.e., NaN equals NaN, +0 does not equal 0, etc.)
This brings SBV upto par with everything supported by the SMTLib FP theory.

Add the IEEEFloatConvertable class, which provides conversions to/from Floats and other types. (i.e., value conversions from all other types to Floats and Doubles; and back.)

Add SWord32/SWord64 to/from SFloat/SDouble conversions, as bitpattern reinterpretation; using the IEEE754 interchange format. The functions are: sWord32AsSFloat, sWord64AsSDouble, sFloatAsSWord32, sDoubleAsSWord64. Note that the sWord32AsSFloat and sWord64ToSDouble are regular functions, but sFloatToSWord32 and sDoubleToSWord64 are “relations”, since NaN values are not uniquely convertable.

Add ‘sExtractBits’, which takes a list of indices to extract bits from, essentially equivalent to ‘map sTestBit’.

Rename a set of symbolic functions for consistency. Here are the old/new names:
 sbvTestBit –> sTestBit
 sbvPopCount –> sPopCount
 sbvShiftLeft –> sShiftLeft
 sbvShiftRight –> sShiftRight
 sbvRotateLeft –> sRotateLeft
 sbvRotateRight –> sRotateRight
 sbvSignedShiftArithRight –> sSignedShiftArithRight

Rename all FP recognizers to be in sync with FP operations. Here are the old/new names:
 isNormalFP –> fpIsNormal
 isSubnormalFP –> fpIsSubnormal
 isZeroFP –> fpIsZero
 isInfiniteFP –> fpIsInfinite
 isNaNFP –> fpIsNaN
 isNegativeFP –> fpIsNegative
 isPositiveFP –> fpIsPositive
 isNegativeZeroFP –> fpIsNegativeZero
 isPositiveZeroFP –> fpIsPositiveZero
 isPointFP –> fpIsPoint

Lots of other work around floatingpoint, test cases, reorg, etc.

Introduce shorter variants for rounding modes: sRNE, sRNA, sRTP, sRTN, sRTZ; aliases for sRoundNearestTiesToEven, sRoundNearestTiesToAway, sRoundTowardPositive, sRoundTowardNegative, and sRoundTowardZero; respectively.
Version 4.4, 20150413

Hookup crackNum package; so counterexamples involving floats and doubles can be printed in detail when the printBase is chosen to be 2 or 16. (With base 10, we still get the simple output.)
Prelude Data.SBV> satWith z3{printBase=2} $ \x > x .== (2::SFloat) Satisfiable. Model: s0 = 2.0 :: Float 3 2 1 0 1 09876543 21098765432109876543210 S E8 F23 Binary: 0 10000000 00000000000000000000000 Hex: 4000 0000 Precision: SP Sign: Positive Exponent: 1 (Stored: 128, Bias: 127) Value: +2.0 (NORMAL)

Change how we print type info; for models insted of SType just print Type (i.e., for SWord8, instead print Word8) which makes more sense and is more consistent. This change should be mostly relevant as how we see the counterexample output.

Fix long standing bug #75, where we now support arrays with Boolean source/targets. This is not a very commonly used case, but by letting the solver pick the logic, we now allow arrays to be uniformly supported.
Version 4.3, 20150410

Introduce Data.SBV.Dynamic, by Brian Huffman. This is mostly an internal reorg of the SBV codebase, and endusers should not be impacted by the changes. The introduction of the Dynamic SBV variant (i.e., one that does not mandate a phantom type as in
SBV Word8
etc. allows library writers more flexibility as they deal with arbitrary bitvector sizes. The main customer of these changes are the Cryptol language and the associated toolset, but other developers building on top of SBV can find it useful as well. NB: The “stronglytyped” aspect of SBV is still the main way endusers should interact with SBV, and nothing changed in that respect! 
Add symbolic variants of floatingpoint roundingmodes for convenience

Rename toSReal to sIntegerToSReal, which captures the intent more clearly

Code cleanup: remove mbMinBound/mbMaxBound thus allowing less calls to unliteral. Contributed by Brian Huffman.

Introduce FP conversion functions:
 Between SReal and SFloat/SDouble
 fpToSReal
 sRealToSFloat
 sRealToSDouble
 Between SWord32 and SFloat
 sWord32ToSFloat
 sFloatToSWord32
 Between SWord64 and SDouble. (Relational, due to nonunique NaNs)
 sWord64ToSDouble
 sDoubleToSWord64
 From float to sign/exponent/mantissa fields: (Relational, due to nonunique NaNs)
 blastSFloat
 blastSDouble
 Between SReal and SFloat/SDouble

Rework floating point classifiers. Remove isSNaN and isFPPoint (both renamed), and add the following new recognizers:
 isNormalFP
 isSubnormalFP
 isZeroFP
 isInfiniteFP
 isNaNFP
 isNegativeFP
 isPositiveFP
 isNegativeZeroFP
 isPositiveZeroFP
 isPointFP (corresponds to a real number, i.e., neither NaN nor infinity)

Reimplement sbvTestBit, by Brian Huffman. This version is much faster at large word sizes, as it avoids the costly mask generation.

Code changes to suppress warnings with GHC7.10. General cleanup.
Version 4.2, 20150317

Add exponentiation (.^). Thanks to Daniel Wagner for contributing the code!

Better handling of SBV_$SOLVER_OPTIONS, in particular keeping track of proper quoting in environment variables. Thanks to Adam Foltzer for the patch!

Silence some hlint/ghci warnings. Thanks to Trevor Elliott for the patch!

Haddock documentation fixes, improvements, etc.

Change ABC default option string to %blast; “&sweep C 5000; &syn4; &cec s m C 2000” which seems to give good results. Use SBV_ABC_OPTIONS environment variable (or via abc.rc file and a combination of SBV_ABC_OPTIONS) to experiment.
Version 4.1, 20150306

Add support for the ABC solver from Berkeley. Thanks to Adam Foltzer for the required infrastructure! See: http://www.eecs.berkeley.edu/~alanmi/abc/ And Alan Mishchenko for adding infrastructure to ABC to work with SBV.

Upgrade the Boolector connection to use a SMTLib2 based interaction. NB. You need at least Boolector 2.0.6 installed!

Tracking changes in the SMTLib floatingpoint theory. If you are using symbolic floatingpoint types (i.e., SFloat and SDouble), then you should upgrade to this version and also get a very latest (unstable) Z3 release. See http://smtlib.cs.uiowa.edu/theoriesFloatingPoint.shtml for details.

Introduce a new class, ‘RoundingFloat’, which supports floatingpoint operations with arbitrary roundingmodes. Note that Haskell only allows RoundNearestTiesToAway, but with SBV, we get all 5 IEEE754 roundingmodes and all the basic operations (‘fpAdd’, ‘fpMul’, ‘fpDiv’, etc.) with these modes.

Allow FloatingPoint RoundingMode to be symbolic as well

Improve the example
Data/SBV/Examples/Misc/Floating.hs
to include roundingmode based addition example. 
Changes required to make SBV compile with GHC 7.10; mostly around instance NFData declarations. Thanks to Iavor Diatchki for the patch.

Export a few extra symbols from the Internals module (mainly for Cryptol usage.)
Version 4.0, 20150122
This release mainly contains contributions from Brian Huffman, allowing endusers to define new symbolic types, such as Word4, that SBV does not natively support. When GHC gets typelevel literals, we shall most likely incorporate arbitrary bitsized vectors and ints using this mechanism, but in the interim, this release provides a means for the users to introduce individual instances.
 Modifications to support arbitrary bitsized vectors; These changes have been contributed by Brian Huffman of Galois. Thanks Brian.
 A new example
Data/SBV/Examples/Misc/Word4.hs
showing how users can add new symbolic types.  Support for rotateleft/rotateright with variable rotation amounts. (From Brian Huffman.)
Version 3.5, 20150115
This release is mainly adding support for enumerated types in Haskell being translated to their symbolic counterparts; instead of going completely uninterpreted.
 Keep track of datatype details for uninterpreted sorts.
 Rework the U2Bridge example to use enumerated types.
 The “Uninterpreted” name no longer makes sense with this change, so rework the relevant names to ensure proper internal naming.
 Add Data/SBV/Examples/Misc/Enumerate.hs as an example for demonstrating how enumerations are translated.
 Fix a longstanding bug in the implementation of select when translated as SMTLib tables. (Github issue #103.) Thanks to Brian Huffman for reporting.
Version 3.4, 20141221

This release is mainly addressing floatingpoint changes in SMTLib.

Track changes in the QF_FPA logic standard; new constants and alike. If you are using the floatingpoint logic, then you need a relatively new version of Z3 installed (4.3.3 or newer).

Add unarynegation as an explicit operator. Previously, we merely used the “0x” semantics; but with floating point, this does not hold as 00 is 0, and is not 0! (Note that negativezero is a valid floating point value, that is different than positivezero; yet it compares equal to it. Sigh..)

Similarly, add abs as a native method; to make sure we map it to fp.abs for floating point values.

Test suite improvements

Version 3.3, 20141205

Implement ‘safe’ and ‘safeWith’, which statically determine all calls to ‘sAssert’ being safe to execute. This way, users can pepper their programs with liberal calls to ‘sAssert’ and check they are all safe in one go without further worry.

Robustify the interface to external solvers, by making sure we catch cases where the external solver might exist but not be runnable (library dependency missing, for example). It is impossible to be absolutely foolproof, but we now catch a few more cases and fail gracefully.
Version 3.2, 20141118

Implement ‘sAssert’. This adds conditional symbolic simulation, by ensuring arbitrary boolean conditions hold during simulation; similar to ASSERT calls in other languages. Note that failures will be detected at symbolicsimulation time, i.e., each assert will generate a call to the external solver to ensure that the condition is never violated. If violation is possible the user will get an error, indicating the failure conditions.

Also implement ‘sAssertCont’ which allows for a programmatic way to extract/display results for consumers of ‘sAssert’. While the latter simply calls ‘error’ in case of an assertion violation, the ‘sAssertCont’ variant takes a continuation which can be used to program how the results should be interpreted/displayed. (This is useful for libraries built on top of SBV.) Note that the type of the continuation is such that execution should still stop, i.e., once an assertion violation is detected, symbolic simulation will never continue.

Rework/simplify the ‘Mergeable’ class to make sure ‘sBranch’ is sufficiently lazy in case of structural merges. The original implementation was only lazy at the Word instance, but not at lists/tuples etc. Thanks to Brian Huffman for reporting this bug.

Add a few constantfolding optimizations for ‘sDiv’ and ‘sRem’

Boolector: Modify output parser to conform to the new Boolector output format. This means that you need at least v2.0.0 of Boolector installed if you want to use that particular solver.

Fix longstanding translation bug regarding boolean Ord class comparisons. (i.e., ‘False > True’ etc.) While Haskell allows for this, SMTLib does not; and hence we have to be careful in translating. Thanks to Brian Huffman for reporting.

C code generation: Correctly translate squareroot and fusedMA functions to C.
Version 3.1, 20140712
NB: GHC 7.8.1 and 7.8.2 has a serious bug https://ghc.haskell.org/trac/ghc/ticket/9078 that causes SBV to crash under heavy/repeated calls. The bug is addressed in GHC 7.8.3; so upgrading to GHC 7.8.3 is essential for using SBV!
New features/bugfixes in v3.1:
 Using multipleSMT solvers in parallel:
 Added functions that let the user run multiple solvers, using asynchronous threads. All results can be obtained (proveWithAll, proveWithAny, satWithAll), or SBV can return the fastest result (satWithAny, allSatWithAll, allSatWithAny). These functions are good for playing with multiplesolvers, especially on machines with multiplecores.
 Add function: sbvAvailableSolvers; which returns the list of solvers currently available, as installed on the machine we are running. (Not the list that SBV supports, but those that are actually available at runtime.) This function is useful with the multisolve API.
 Implement sBranch:
 sBranch is a variant of ‘ite’ that consults the external SMT solver to see if a given branch condition is satisfiable before evaluating it. This can make certain otherwise recursive and thus notsymbolicallyterminating inputs amenable to symbolic simulation, if termination can be established this way. Needless to say, this problem is always decidable as far as SBV programs are concerned, but it does not mean the decision procedure is cheap! Use with care.
 sBranchTimeOut config parameter can be used to curtail long runs when sBranch is used. Of course, if timeout happens, SBV will assume the branch is feasible, in which case symbolictermination may come back to bite you.)
 New API:
 Add predicate ‘isSNaN’ which allows testing ‘SFloat’/‘SDouble’ values for nanness. This is similar to the Prelude function ‘isNaN’, except the Prelude version requires a RealFrac instance, which unfortunately is not currently implementable for cases. (Requires trigonometric functions etc.) Thus, we provide ‘isSNaN’ separately (along with the already existing ‘isFPPoint’) to simplify reasoning with floatingpoint.
 Examples:
 Add Data/SBV/Examples/Misc/SBranch.hs, to illustrate the use of sBranch.
 Bug fixes:
 Fix pipeblocking issue, which exhibited itself in the presence of large numbers of variables (> 10K or so). See github issue #86. Thanks to Philipp Meyer for the fine report.
 Misc:
 Add missing SFloat/SDouble instances for SatModel class
 Explicitly support KBool as a kind, separating it from
KUnbounded False 1
. Thanks to Brian Huffman for contributing the changes. This should have no uservisible impact, but comes in handy for internal reasons.
Version 3.0, 20140216
 Support for floatingpoint numbers:
 Preliminary support for IEEEfloating point arithmetic, introducing
the types
SFloat
andSDouble
. The support is still quite new, and Z3 is the only solver that currently features a solver for this logic. Likely to have bugs, both at the SBV level, and at the Z3 level; so any bug reports are welcome!
 Preliminary support for IEEEfloating point arithmetic, introducing
the types
 New backend solvers:
 SBV now supports MathSAT from Fondazione Bruno Kessler and DISIUniversity of Trento. See: http://mathsat.fbk.eu/
 Support allsat calls in the presence of uninterpreted sorts:
 Implement better support for
allSat
in the presence of uninterpreted sorts. Previously, SBV simply rejected runningallSat
queries in the presence of uninterpreted sorts, since it was not possible to generate a refuting model. The model returned by the SMT solver is simply not usable, since it names constants that is not visible in a subsequent run. Eric Seidel came up with the idea that we can actually compute equivalence classes based on a produced model, and assert the constraint that the new model should disallow the previously found equivalence classes instead. The idea seems to work well in practice, and there is also an example program demonstrating the functionality: Examples/Uninterpreted/UISortAllSat.hs
 Implement better support for
 Programmable model extraction improvements:
 Add functions
getModelDictionary
andgetModelDictionaries
, which provide lowlevel access to models returned from SMT solvers. Former forsat
andprove
calls, latter forallSat
calls. Together with the exported utils from theData.SBV.Internals
module, this should allow for expert users to dissect the models returned and do fancier programming on top of SBV.  Add
getModelValue
,getModelValues
,getModelUninterpretedValue
, andgetModelUninterpretedValues
; which further aid in model value extraction.
 Add functions
 Other:
 Allow users to specify the SMTLib logic to use, if necessary. SBV will still pick the logic automatically, but users can now override that choice. Comes in handy when playing with custom logics.
 Bug fixes:
 Address allsatlaziness issue (#78 in github issue tracker). Essentially, simplify how allsat is called so we can avoid calling the solver for solutions that are not needed. Thanks to Eric Seidel for reporting.
 Examples:
 Add Data/SBV/Examples/Misc/ModelExtract.hs as a simple example for programmable model extraction and usage.
 Add Data/SBV/Examples/Misc/Floating.hs for some FP examples.
 Use the AUFLIA logic in Examples.Existentials.Diophantine which helps z3 complete the proof quickly. (The BV logics take too long for this problem.)
Version 2.10, 20130322
 Add support for the Boolector SMT solver
 See: http://fmv.jku.at/boolector/
 Use
import Data.SBV.Bridge.Boolector
to use Boolector from SBV  Boolector supports QF_BV (with an without arrays). In the last SMTLib competition it won both bitvector categories. It is definitely worth trying it out for bitvector problems.
 Changes to the library:
 Generalize types of
allDifferent
andallEqual
to take arbitrary EqSymbolic values. (Previously was just over SBV values.)  Add
inRange
predicate, which checks if a value is bounded within two others.  Add
sElem
predicate, which checks for symbolic membership  Add
fullAdder
: Returns the carryover as a separate boolean bit.  Add
fullMultiplier
: Returns both the lower and higher bits resulting from multiplication.  Use the SMTLib Bool sort to represent SBool, instead of bitvectors of length 1. While this is an underthehood mechanism that should be usertransparent, it turns out that one can no longer write axioms that return booleans in a direct way due to this translation. This change makes it easier to write axioms that utilize booleans as there is now a 1to1 match. (Suggested by Thomas DuBuisson.)
 Generalize types of
 Solvers changes:
 Z3: Update to the new parameter naming schema of Z3. This implies that you need to have a really recent version of Z3 installed, something in the Z34.3 series.
 Examples:
 Add Examples/Uninterpreted/Shannon.hs: Demonstrating Shannon expansion, boolean derivatives, etc.
 Bugfixes:
 Gracefully handle the case if the backendSMT solver does not put anything in stdout. (Reported by Thomas DuBuisson.)
 Handle uninterpreted sort values, if they happen to be only created via function calls, as opposed to being inputs. (Reported by Thomas DuBuisson.)
Version 2.9, 20130102

Add support for the CVC4 SMT solver from Stanford: http://cvc4.cs.stanford.edu/web/ NB. Z3 remains the default solver for SBV. To use CVC4, use the *With variants of the interface (i.e., proveWith, satWith, ..) by passing cvc4 as the solver argument. (Similarly, use ‘yices’ as the argument for the *With functions for invoking yices.)

Latest release of Yices calls the SMTLib based solver executable yicessmt. Updated the default value of the executable to have this name for ease of use.

Add an extra boolean flag to compileToSMTLib and generateSMTBenchmarks functions to control if the translation should keep the query as is (for SAT cases), or negate it (for PROVE cases). Previously, this value was hardcoded to do the PROVE case only.

Add bridge modules, to simplify use of different solvers. You can now say:
import Data.SBV.Bridge.CVC4 import Data.SBV.Bridge.Yices import Data.SBV.Bridge.Z3
to pick the appropriate default solver. if you simply ‘import Data.SBV’, then you will get the default SMT solver, which is currently Z3. The value ‘defaultSMTSolver’ refers to z3 (currently), and ‘sbvCurrentSolver’ refers to the chosen solver as determined by the imported module. (The latter is useful for modifying options to the SMT solver in an solveragnostic way.)

Various improvements to Z3 model parsing routines.

New web page for SBV: http://leventerkok.github.com/sbv/ is now online.
Version 2.8, 20121129
 Rename the SNum class to SIntegral, and make it index over regular types. This makes it much more useful, simplifying coding of polymorphic symbolic functions over integral types, which is the common case.
 Add the functions:
 sbvShiftLeft
 sbvShiftRight which can accommodate unsigned symbolic shift amounts. Note that one cannot use the Haskell shiftL/shiftR functions from the Bits class since they are hardwired to take ‘Int’ values as the shift amounts only.
 Add a new function ‘sbvArithShiftRight’, which is the same as a shiftright, except it uses the MSB of the input as the bit to fill in (instead of always filling in with 0 bits). Note that this is the same as shiftRight for signed values, but differs from a shiftRight when the input is unsigned. (There is no Haskell analogue of this function, as Haskell shiftR is always arithmetic for signed types and logical for unsigned ones.) This variant is designed for use cases when one uses the underlying unsigned SMTLib representation to implement custom signed operations, for instance.
 Several typo fixes.
Version 2.7, 20121021
 Add missing QuickCheck instance for SReal
 When dealing with concrete SReals, make sure to operate only on exact algebraic reals on the Haskell side, leaving true algebraic reals (i.e., those that are roots of polynomials that cannot be expressed as a rational) symbolic. This avoids issues with functions that we cannot implement directly on the Haskell side, like exact squareroots.
 Documentation tweaks, typo fixes etc.
 Rename BVDivisible class to SDivisible; since SInteger is also an instance of this class, and SDivisible is a more appropriate name to start with. Also add sQuot and sRem methods; along with sDivMod, sDiv, and sMod, with usual semantics.
 Improve test suite, adding many constantfolding tests and start using cabal based tests (–enabletests option.)
Versions 2.4, 2.5, and 2.6: Around mid October 2012
 Workaround issues related hackage compilation, in particular to the problem with the new containers package release, which does provide an NFData instance for sequences.
 Add explicit Num requirements when necessary, as the Bits class no longer does this.
 Remove dependency on the hackage package strictconcurrency, as hackage can no longer compile it due to some dependency mismatch.
 Add forgotten Real class instance for the type ‘AlgReal’
 Stop putting bounds on hackage dependencies, as they cause more trouble then they actually help. (See the discussion here: http://www.haskell.org/pipermail/haskellcafe/2012July/102352.html.)
Version 2.3, 20120720
 Maintenance release, no new features.
 Tweak cabal dependencies to avoid using packages that are newer than those that come with ghc7.4.2. Apparently this is a nono that breaks many things, see the discussion in this thread: http://www.haskell.org/pipermail/haskellcafe/2012July/102352.html In particular, the use of containers >= 0.5 is not OK until we have a version of GHC that comes with that version.
Version 2.2, 20120717
 Maintenance release, no new features.
 Update cabal dependencies, in particular fix the regression with respect to latest version of the containers package.
Version 2.1, 20120524
 Library:
 Add support for uninterpreted sorts, together with user defined domain axioms. See Data.SBV.Examples.Uninterpreted.Sort and Data.SBV.Examples.Uninterpreted.Deduce for basic examples of this feature.
 Add support for C codegeneration with SReals. The user picks one of 3 possible C types for the SReal type: CgFloat, CgDouble or CgLongDouble, using the function cgSRealType. Naturally, the resulting C program will suffer a loss of precision, as it will be subject to IEE754 rounding as implied by the underlying type.
 Add toSReal :: SInteger > SReal, which can be used to promote symbolic integers to reals. Comes handy in mixed integer/real computations.
 Examples:
 Recast the dogcatmouse example to use the solver over reals.
 Add Data.SBV.Examples.Uninterpreted.Sort, and Data.SBV.Examples.Uninterpreted.Deduce for illustrating uninterpreted sorts and axioms.
Version 2.0, 20120510
This is a major release of SBV, adding support for symbolic algebraic reals: SReal. See http://en.wikipedia.org/wiki/Algebraic_number for details. In brief, algebraic reals are solutions to univariate polynomials with rational coefficients. The arithmetic on algebraic reals is precise, with no approximation errors. Note that algebraic reals are a proper subset of all reals, in particular transcendental numbers are not representable in this way. (For instance, “sqrt 2” is algebraic, but pi, e are not.) However, algebraic reals is a superset of rationals, so SBV now also supports symbolic rationals as well.
You should use Z3 v4.0 when working with real numbers. While the interface will work with older versions of Z3 (or other SMT solvers in general), it uses Z3 rootobj construct to retrieve and query algebraic reals.
While SReal values have infinite precision, printing such values is not trivial since we might need an infinite number of digits if the result happens to be irrational. The user controls printing precision, by specifying how many digits after the decimal point should be printed. The default number of decimal digits to print is 10. (See the ‘printRealPrec’ field of SMTsolver configuration.)
The acronym SBV used to stand for Symbolic Bit Vectors. However, SBV has grown beyond bitvectors, especially with the addition of support for SInteger and SReal types and other codegeneration utilities. Therefore, “SMT Based Verification” is now a better fit for the expansion of the acronym SBV.
Other notable changes in the library:
 Add functions s[TYPE] and s[TYPE]s for each symbolic type we support (i.e., sBool, sBools, sWord8, sWord8s, etc.), to create symbolic variables of the right kind. Strictly speaking these are just synonyms for ‘free’ and ‘mapM free’ (plural versions), so they are not adding any additional power. Except, they are specialized at their respective types, and might be easier to remember.
 Add function solve, which is merely a synonym for (return . bAnd), but it simplifies expressing problems.
 Add class SNum, which simplifies writing polymorphic code over symbolic values
 Increase haddock coverage metrics
 Major code refactoring around symbolic kinds
 SMTLib2: Emit “:producemodels” call before setting the logic, as required by the SMTLib2 standard. [Patch provided by arrowdodger on github, thanks!]
Bugs fixed:
 [Performance] Use a much simpler default definition for “select”: While the older version (based on binary search on the bits of the indexer) was correct, it created unnecessarily big expressions. Since SBV does not have a notion of concrete subwords, the binarysearch trick was not bringing any advantage in any case. Instead, we now simply use a linear walk over the elements.
Examples:
 Change dogcatmouse example to use SInteger for the counts
 Add mergesort example: Data.SBV.Examples.BitPrecise.MergeSort
 Add diophantine solver example: Data.SBV.Examples.Existentials.Diophantine
Version 1.4, 20120510
 Interim release for test purposes
Version 1.3, 20120225
 Workaround cabal/hackage issue, functionally the same as release 1.2 below
Version 1.2, 20120225
Library:
 Add a hook so users can add custom script segments for SMT solvers. The new “solverTweaks” field in the SMTConfig datatype can be used for this purpose. The need for this came about due to the need to workaround a Z3 v3.2 issue detailed below: http://stackoverflow.com/questions/9426420/soundnessissuewithintegerbvmixedbenchmarks As a consequence, mixed Integer/BV problems can cause soundness issues in Z3 and does in SBV. Unfortunately, it is too severe for SBV to add the workaround option, as it slows down the solver as a side effect as well. Thus, we are making this optionally available if/when needed. (Note that the workaround should not be necessary with Z3 v3.3; which is not released yet.)
 Other minor cleanup
Version 1.1, 20120214
Library:
 Rename bitValue to sbvTestBit
 Add sbvPopCount
 Add a custom implementation of ‘popCount’ for the Bits class instance of SBV (GHC >= 7.4.1 only)
 Add ‘sbvCheckSolverInstallation’, which can be used to check that the given solver is installed and good to go.
 Add ‘generateSMTBenchmarks’, simplifying the generation of SMTLib benchmarks for offline sharing.
Version 1.0, 20120213
Library:
 Z3 is now the “default” SMT solver. Yices is still available, but has to be specifically selected. (Use satWith, allSatWith, proveWith, etc.)
 Better handling of the pConstrain probability threshold for test case generation and quickCheck purposes.
 Add ‘renderTest’, which accompanies ‘genTest’ to render test vectors as Haskell/C/Forte program segments.
 Add ‘expectedValue’ which can compute the expected value of a symbolic value under the given constraints. Useful for statistical analysis and probability computations.
 When saturating provable values, use forAll_ for proofs and forSome_ for sat/allSat. (Previously we were allways using forAll_, which is not incorrect but less intuitive.)
 add function: extractModels :: SatModel a => AllSatResult > [a] which simplifies accessing allSat results greatly.
Codegeneration:
 add “cgGenerateMakefile” which allows the user to choose if SBV should generate a Makefile. (default: True)
Other
 Changes to make it compile with GHC 7.4.1.
Version 0.9.24, 20111228
Library:
 Add “forSome,” analogous to “forAll.” (The name “exists” would’ve been better, but it’s already taken.) This is not as useful as one might think as forAll and forSome do not nest, as an inner application of one pushes its argument to a Predicate, making the outer one useless, but it is nonetheless useful by itself.
 Add a “Modelable” class, which simplifies model extraction.
 Add support for quickcheck at the “Symbolic SBool” level. Previously SBV only allowed functions returning SBool to be quickchecked, which forced a certain style of coding. In particular with the addition of quantifiers, the new coding style mostly puts the toplevel expressions in the Symbolic monad, which were not quickcheckable before. With new support, the quickCheck, prove, sat, and allSat commands are all interchangeable with obvious meanings.
 Add support for concrete test case generation, see the genTest function.
 Improve optimize routines and add support for iterative optimization.
 Add “constrain”, simplifying conjunctive constraints, especially useful for adding constraints at variable generation time via forall/exists. Note that the interpretation of such constraints is different for genTest and quickCheck functions, where constraints will be used for appropriately filtering acceptable test values in those two cases.
 Add “pConstrain”, which probabilistically adds constraints. This is useful for quickCheck and genTest functions for filtering acceptable test values. (Calls to pConstrain will be rejected for sat/prove calls.)
 Add “isVacuous” which can be used to check that the constraints added via constrain are satisfiable. This is useful to prevent vacuous passes, i.e., when a proof is not just passing because the constraints imposed are inconsistent. (Also added accompanying isVacuousWith.)
 Add “free” and “free_”, analogous to “forall/forall_” and “exists/exists_” The difference is that free behaves universally in a proof context, while it behaves existentially in a sat context. This allows us to express properties more succinctly, since the intended semantics is usually this way depending on the context. (i.e., in a proof, we want our variables universal, in a sat call existential.) Of course, exists/forall are still available when mixed quantifiers are needed, or when the user wants to be explicit about the quantifiers.
Examples
 Add Data/SBV/Examples/Puzzles/Coins.hs. (Shows the usage of “constrain”.)
Dependencies
 Bump up random package dependency to 1.0.1.1 (from 1.0.0.2)
Internal
 Major reorganization of files to and build infrastructure to decrease build times and better layout
 Get rid of custom Setup.hs, just use simple build. The extra work was not worth the complexity.
Version 0.9.23, 20111205
Library:
 Add support for SInteger, the type of signed unbounded integer values. SBV can now prove theorems about unbounded numbers, following the semantics of Haskell Integer type. (Requires z3 to be used as the backend solver.)
 Add functions ‘optimize’, ‘maximize’, and ‘minimize’ that can be used to find optimal solutions to given constraints with respect to a given cost function.
 Add ‘cgUninterpret’, which simplifies code generation when we want to use an alternate definition in the target language (i.e., C). This is important for efficient code generation, when we want to take advantage of native libraries available in the target platform.
Other:
 Change getModel to return a tuple in the success case, where the first component is a boolean indicating whether the model is “potential.” This is used to indicate that the solver actually returned “unknown” for the problem and the model might therefore be bogus. Note that we did not need this before since we only supported bounded bitvectors, which has a decidable theory. With the addition of unbounded Integers and quantifiers, the solvers can now return unknown. This should still be rare in practice, but can happen with the use of nonlinear constructs. (i.e., multiplication of two variables.)
Version 0.9.22, 20111113
The major change in this release is the support for quantifiers. The SBV library no longer assumes all variables are universals in a proof, (and correspondingly existential in a sat) call. Instead, the user marks freevariables appropriately using forall/exists functions, and the solver translates them accordingly. Note that this is a nonbackwards compatible change in sat calls, as the semantics of formulas is essentially changing. While this is unfortunate, it is more uniform and simpler to understand in general.
This release also adds support for the Z3 solver, which is the main SMTsolver used for solving formulas involving quantifiers. More formally, we use the new AUFBV/ABV/UFBV logics when quantifiers are involved. Also, the communication with Z3 is now done via SMTLib2 format. Eventually the SMTLib1 connection will be severed.
The other main change is the support for C code generation with uninterpreted functions enabling users to interface with external C functions defined elsewhere. See below for details.
Other changes:
Code:
 Change getModel, so it returns an Either value to indicate something went wrong; instead of throwing an error
 Add support for computing CRCs directly (without needing polynomial division).
Code generation:
 Add “cgGenerateDriver” function, which can be used to turn on/off driver program generation. Default is to generate a driver. (Issue “cgGenerateDriver False” to skip the driver.) For a library, a driver will be generated if any of the constituent parts has a driver. Otherwise it will be skipped.
 Fix a bug in C code generation where “Not” over booleans were incorrectly getting translated due to need for masking.
 Add support for compilation with uninterpreted functions. Users can now specify the corresponding C code and SBV will simply call the “native” functions instead of generating it. This enables interfacing with other C programs. See the functions: cgAddPrototype, cgAddDecl, cgAddLDFlags
Examples:
 Add CRC polynomial generation example via existentials
 Add USB CRC code generation example, both via polynomials and using the internal CRC functionality
Version 0.9.21, 20110805
Code generation:
 Allow for inclusion of user makefiles
 Allow for CCFLAGS to be set by the user
 Other minor cleanup
Version 0.9.20, 20110605
Regression on 0.9.19; add missing file to cabal
Version 0.9.19, 20110605
 Add SignCast class for conversion between signed/unsigned quantities for samesized bitvectors
 Add fullbinary trees that can be indexed symbolically (STree). The advantage of this type is that the reads and writes take logarithmic time. Suitable for implementing faster symbolic lookup.
 Expose HasSignAndSize class through Data.SBV.Internals
 Many minor improvements, file reorgs
Examples:
 Add sentencecounting example
 Add an implementation of RC4
Version 0.9.18, 20110407
Code:
 Reengineer codegeneration, and compilation to C. In particular, allow arrays of inputs to be specified, both as function arguments and output reference values.
 Add support for generation of generation of Clibraries, allowing code generation for a set of functions that work together.
Examples:
 Update codegeneration examples to use the new API.
 Include a librarygeneration example for doing 128bit AES encryption
Version 0.9.17, 20110329
Code:
 Simplify and reorganize the test suite
Examples:
 Improve AES decryption example, by using tablelookups in InvMixColumns.
Version 0.9.16, 20110328
Code:
 Further optimizations on Bits instance of SBV
Examples:
 Add AES algorithm as an example, showing how encryption algorithms are particularly suitable for use with the codegenerator
Version 0.9.15, 20110324
Bug fixes:
 Fix rotateL/rotateR instances on concrete words. Previous versions was bogus since it relied on the Integer instance, which does the wrong thing after normalization.
 Fix conversion of signed numbers from bits, previous version did not handle twos complement layout correctly
Testing:
 Add a sleuth of concrete test cases on arithmetic to catch bugs. (There are many of them, ~30K, but they run quickly.)
Version 0.9.14, 20110319
 Reimplement sharing using Stable names, inspired by the Data.Reify techniques. This avoids tricks with unsafe memory stashing, and hence is safe. Thus, issues with respect to CAFs are now resolved.
Version 0.9.13, 20110316
Bug fixes:
 Make sure SBool shortcut evaluations are done as early as possible, as these help with coding recursiondepth based algorithms, when dealing with symbolic termination issues.
Examples:
 Add fibonacci codegeneration example, original code by Lee Pike.
 Add a GCD codegeneration/verification example
Version 0.9.12, 20110310
New features:
 Add support for compilation to C
 Add a mechanism for offline saving of SMTLib files
Bug fixes:
 Output naming bug, reported by Josef Svenningsson
 Specification bug in Legatos multiplier example
Version 0.9.11, 20110216
 Make ghc7.0 happy, minor reorg on the cabal file/Setup.hs
Version 0.9.10, 20110215
 Integrate commits from Iavor: Generalize SBVs to keep track the integer directly without resorting to different leaf types
 Remove the unnecessary CLC instruction from the Legato example
 More tests
Version 0.9.9, 20110123
 Support for userdefined SMTLib axioms to be specified for uninterpreted constants/functions
 Move to using doctest style inline tests
Version 0.9.8, 20110122
 Better support for uninterpretedfunctions
 Support counterexamples with SArrays
 LadnerFischer scheme example
 Documentation updates
Version 0.9.7, 20110118
 First stable public hackage release
Versions 0.0.0  0.9.6, Mid 2010 through early 2011
 Basic infrastructure, design exploration