stepchowfun / theorem-prover Goto Github PK
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An automated theorem prover for first-order logic.
The input
(forsome x. forsome y. P(x, y)) implies (forsome y. forsome x. P (x, y))
seems to send the prover into a loop.
The program finds a proof for
(forall x. forsome y. P(x,y)) implies (forsome y. forall x. P(x,y))
There's an information in readme there are some unprovable formulae that will cause this program to loop forever
and it is said that's the consequence of Gödel's first incompleteness theorem
. I belive that it is rather connected to Church incompletness theorem from 1936 (http://en.wikipedia.org/wiki/Entscheidungsproblem).
Thank you for this useful program.
Is there a way to represent formulas with uniqueness quantifier such as ∃!xP(x) ≡ ∃x(P(x)∧∀y(P(y)→y=x))?
When starting main.py with Python 3.4 on Windows 8 I get a syntax error:
File "C:...\main.py", line 355
print "First-Order Logic Theorem Prover"
^
SyntaxError: invalid syntax
When i try to run the "forall x. P(x) implies (Q(x) implies P(x))" example i get multiple errors , do you know why that could be ?
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