Theorem proving library based on dependent type theory http://www.dcs.st-and.ac.uk/~eb/Ivor/
|Latest on Hackage:||0.1.14.1|
This package is not currently in any snapshots. If you're interested in using it, we recommend adding it to Stackage Nightly. Doing so will make builds more reliable, and allow stackage.org to host generated Haddocks.
Ivor is a type theory based theorem prover, with a Haskell API, designed for easy extending and embedding of theorem proving technology in Haskell applications. It provides an implementation of the type theory and tactics for building terms, more or less along the lines of systems such as Coq or Agda, and taking much of its inspiration from Conor McBride's presentation of OLEG.
The API provides a collection of primitive tactics and combinators for building new tactics. It is therefore possible to build new tactics to suit specific applications. Ivor features a dependent type theory similar to Luo's ECC with definitions (and similar to that implemented in Epigram), with dependent pattern matching, and experimental multi-stage programming support. Optionally, it can be extended with heterogeneous equality, primitive types and operations, new parser rules, user defined tactics and (if you want your proofs to be untrustworthy) a fixpoint combinator.