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Proof General
Comprehensive Gnu-Emacs and XEmacs interface for several theorem provers including Coq, Isabelle, Lego, and Phox.
http://proofgeneral.inf.ed.ac.uk
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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/
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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/
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ModLeanTAP: Lean Tableau-based Deduction for Propositional Modal Logics
Lean Tableau-based Deduction for Propositional Modal Logics. By Bernhard Beckert.
http://i12www.ira.uka.de/modlean/
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CrocoPat: Simple and Efficient Relational Programming
CrocoPat manipulates relations of any arity, including graphs (which are binary relations). Its simple and expressive query and manipulation language is based on first-order predicate calculus. The implementation is based on the data structure binary dec
http://mtc.epfl.ch/~beyer/CrocoPat/
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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
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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
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Spreadsheet Logic
Free Microsoft Excel add-in for processing and evaluating logic in your spreadhseet.
http://members.lycos.co.uk/jbusar/
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