sbv-5.5: SMT Based Verification: Symbolic Haskell theorem prover using SMT solving.

Copyright(c) Levent Erkok
Safe HaskellNone



Demonstrates uninterpreted sorts, together with axioms.



data Q Source

A new data-type that we expect to use in an uninterpreted fashion in the backend SMT solver. Note the custom deriving clause, which takes care of most of the boilerplate. The () field is needed so SBV will not translate it to an enumerated data-type


Q () 

f :: SBV Q -> SBV Q Source

Declare an uninterpreted function that works over Q's

t1 :: IO SatResult Source

A satisfiable example, stating that there is an element of the domain Q such that f returns a different element. Note that this is valid only when the domain Q has at least two elements. We have:

>>> t1
Satisfiable. Model:
  x = Q!val!0 :: Q

t2 :: IO SatResult Source

This is a variant on the first example, except we also add an axiom for the sort, stating that the domain Q has only one element. In this case the problem naturally becomes unsat. We have:

>>> t2