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  Logic Software from CSLI http://www-csli.stanford.edu/hp/Logic-software.html
By Jon Barwise and John Etchemendy.
  PVS http://pvs.csl.sri.com/
The PVS Specification and Verification System. Available for Sparc machines with Solaris 2 and Intel x86 Machines with Linux compatible with Redhat 5 or later. Required is Emacs (version 19 or later), recommended LaTeX and Tcl/Tk. Download by FTP.
  Proof General http://proofgeneral.inf.ed.ac.uk
Comprehensive Gnu-Emacs and XEmacs interface for several theorem provers including Coq, Isabelle, Lego, and Phox.
  Isabelle http://www.cl.cam.ac.uk/Research/HVG/Isabelle/
A generic theorem proving environment developed at Cambridge University (Larry Paulson) and TU Munich (Tobias Nipkow). Includes logic, documentation and free download.
  Automated Reasoning Project http://cslab.anu.edu.au/ar/
Web resource provided by research group. Includes access to software developed by the team, coverering such projects as FINDER (Finite Domain Enumerator), MaGIC (Matrix Generator for Implication Connectives) and Kripke (A theorem prover for the relevant logic LR).
  The Coq Project http://pauillac.inria.fr/coq/
Deals with effectively machine-checked formal mathematics. In practice, this includes the study of mathematical formalisms well-suited for implementations, the implementations themselves and the use of these for various applications. Focuses on software correctness proofs.
  Paradox http://www.cs.chalmers.se/~koen/paradox/
A tool that processes first-order logic problems and tries to find finite-domain models for them; written by Koen Claessen and Niklas Sörensson. Haskell and C++; free download under GPL.
  LOOM http://www.isi.edu/isd/LOOM/LOOM-HOME.html
A language and environment for constructing intelligent applications. It is a research project in the Artificial Intelligence research group at the University of Southern California's Information Sciences Institute. The goal of the project is to develop and field advanced tools for knowledge representation and reasoning in Artificial Intelligence.
  ProofPower http://www.lemma-one.com/ProofPower/index/
A suite of tools supporting specification and proof in Higher Order Logic (HOL) and in Z notation.
  Church http://www.alcyone.com/software/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.
  Gateway to Logic http://logik.phl.univie.ac.at/~chris/formular-uk.html
A collection of web-based logic programs offering a number of logical functions: interactively or automatically build proofs, check theorems, and operate on propositional logic formulae.
  Database of Existing Mechanized Reasoning Systems http://www-formal.stanford.edu/clt/ARS/systems.html
A list (>50 entries) of automatic resolution provers (like Otter), interactive provers (like PVS) and other mechanized reasoning tools.
  DC Proof Online http://www.dcproof.com
New proof-writing software to teach the fundamentals of logic and proof. Enables users/students to write error-free proofs by selecting rules of inference, axioms, etc. from convenient drop-down menus. Includes tutorial and exercises.
  CrocoPat: Simple and Efficient Relational Programming http://mtc.epfl.ch/~beyer/CrocoPat/
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 decision diagram (BDD).
  LWB http://www.lwb.unibe.ch/
Logics Workbench.
  llprover http://bach.scitec.kobe-u.ac.jp/llprover/
A linear logic prover that searches a cut-free proof for the given two-sided sequent of first-order linear logic.
  Visual Turing http://www.cheransoft.com/vturing/
A graphical IDE for creating, running and debugging Turing machines. Freeware for Windows 95/98/NT/2000.
  VeriFun http://www.informatik.tu-darmstadt.de/pm/verifun/
A semi-automated system for the verification of statements about programs written in a functional programming language. The system is capable of following fully-automated routines for theorem proving and hypotheses formation, as well as operating interactively when these reoutines fail.
  Tree Proof Generator http://www.umsu.de/logik/trees
An implementation of the semantic tableaux method for classical propositional and predicate logic, written in JavaScript/DOM.
  ModLeanTAP: Lean Tableau-based Deduction for Propositional Modal Logics http://i12www.ira.uka.de/modlean/
Lean Tableau-based Deduction for Propositional Modal Logics. By Bernhard Beckert.
  MUltlog http://www.logic.at/multlog/
Takes as input the specification of a finitely-valued first-order logic and produces a sequent calculus, a natural deduction system, and clause formation rules for this logic.
  PROTEIN http://www.uni-koblenz.de/ag-ki/Implementierungen/Protein/
A PROver with a Theory Extension INterface. Theorem prover for first-order clause logic, written in ECRC's Prolog-dialect ECLiPSe. Free download, documentation.
  MUltseq http://www.logic.at/multseq/
A generic sequent prover for propositional finitely-valued logics.
  DELORES http://www.dfki.uni-kl.de/~miller/delores/
A forward-chaining reasoning engine for defeasible logic, a less expressive but more efficient nonmonotonic logic.
  Spreadsheet Logic http://members.lycos.co.uk/jbusar/
Free Microsoft Excel add-in for processing and evaluating logic in your spreadhseet.
  j'Imp Theorem Prover http://www.functologic.com/logic/jImp.html
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 artificial intelligence.
  Bertrand http://www.uwosh.edu/faculty_staff/herzberg/Bertrand.html
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). Subject-identity is supported. User can "step through" the solution algorithm as Bertrand solves a problem, and/or check the graphic tree produced.
  WinKE http://staff.science.uva.nl/~ulle/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.
  ACL2 Version 2.7 http://www.cs.utexas.edu/users/moore/acl2/
A programming language in which you can model computer systems and a tool to help prove properties of those models. Available under GPL and runs on various platforms. Includes related download links.

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