Directory of Software Resources

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Logic-related software: Software implement "logic(s)" explicitly. This category includes e.g. automated reasoning systems, theorem provers, self-study software, and their "add-in"s. Both non-commercial and commercial software will be listed.

Resources in This Category

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• LWB

  http://www.lwb.unibe.ch/
  Logics Workbench.

• 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.

• MUltseq

  http://www.logic.at/multseq/
  A generic sequent prover for propositional finitely-valued logics.

• Proof General

  http://proofgeneral.inf.ed.ac.uk/
  Comprehensive Gnu-Emacs and XEmacs interface for several theorem provers including Coq, Isabelle, Lego, and Phox.

• 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.

• 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.

• 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.

• 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.

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