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haskell-atp

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Port of the Objective Caml code supporting John Harrison's logic textbook Handbook of Practical Logic and Automated Reasoning to Haskell.

The original code written by Sean McLaughlin need GHC 6.10.4
This repo contains sligth modifications and instructions to fit GHC upto 9.6.5

Build and use the atp binary

  1. Install GHC and cabal-install via GHCup or via stack + stack install cabal-install

  2. Update your package database:

    cabal update

  3. Get the required Haskell libraries:

    cabal install --lib directory hslogger utf8-string HUnit QuickCheck parsec syb

  4. Build an executable

    cabal install

  5. Make sure ~/.cabal/bin is on your path. The atp executable resides there.

  6. Try it !

user@dev:$ atp bmeson eq1
Welcome to Haskell ATP!
(∀ x y z. x * y * z = (x * y) * z) ∧
(∀ x. 1 * x = x) ∧ (∀ x. i(x) * x = 1) ⊃
  (∀ x. x * i(x) = 1)
[19]
Computation time: 8.9304 sec

You can also use ghci

cabal repl
ghci> :l src/Main.lhs
ghci> :main resolution -f "(exists y. forall x. P(x, y)) ==> forall x. exists y. P(x, y)"
Welcome to Haskell ATP!
(∃ y. ∀ x. P(x, y)) ⊃ (∀ x. ∃ y. P(x, y))
()
Computation time: 0.0013 sec