Copyright | (c) Levent Erkok |
---|---|

License | BSD3 |

Maintainer | erkokl@gmail.com |

Stability | experimental |

Safe Haskell | None |

Language | Haskell2010 |

Demonstrates uninterpreted sorts and how all-sat behaves for them. Thanks to Eric Seidel for the idea.

# Documentation

A "list-like" data type, but one we plan to uninterpret at the SMT level. The actual shape is really immaterial for us, but could be used as a proxy to generate test cases or explore data-space in some other part of a program. Note that we neither rely on the shape of this data, nor need the actual constructors.

classify :: SBV L -> SInteger Source

An uninterpreted "classify" function. Really, we only care about the fact that such a function exists, not what it does.

genLs :: IO AllSatResult Source

Formulate a query that essentially asserts a cardinality constraint on
the uninterpreted sort `L`

. The goal is to say there are precisely 3
such things, as it might be the case. We manage this by declaring four
elements, and asserting that for a free variable of this sort, the
shape of the data matches one of these three instances. That is, we
assert that all the instances of the data `L`

can be classified into
3 equivalence classes. Then, allSat returns all the possible instances,
which of course are all uninterpreted.

As expected, we have:

`>>>`

Solution #1: l = L!val!0 :: L l0 = L!val!0 :: L l1 = L!val!1 :: L l2 = L!val!2 :: L Solution #2: l = L!val!2 :: L l0 = L!val!0 :: L l1 = L!val!1 :: L l2 = L!val!2 :: L Solution #3: l = L!val!1 :: L l0 = L!val!0 :: L l1 = L!val!1 :: L l2 = L!val!2 :: L Found 3 different solutions.`genLs`