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Church
Program understands the different types of lambda expressions, can extract lists of variables (both free and bound) and subterms, and can simplify complicated expressions. Uses Python.
http://www.alcyone.com/software/church/
Alcyone.com ~
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WinKE
An interactive proof assistant based on analytic tableaux, and designed for the teaching of deductive reasoning. Ordering information is available at this site, as are academic papers on the design of the software.
http://staff.science.uva.nl/~ulle/WinKE/
Uva.nl ~
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Bertrand
Bertrand solves sets of first-order predicate logic statements for satisfiability (consistency), validity, and equivalence. It also checks single statements for "logical truth" (tautology) and "logical falsity" (self-contradiction).
http://www.uwosh.edu/faculty_staff/herzberg/Bertrand.html
Uwosh.edu ~
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j'Imp Theorem Prover
An automatic theorem prover based on set of support and ordered resolution for first-order logic. j'Imp is part of the Orbital library. This library is a Java class providing object-oriented representations and algorithms for logic, mathematics, and art
http://www.functologic.com/logic/jImp.html
Functologic.com ~
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