Science: Math: Software [458]
ACL2 Version 2.7 [Preview]
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.
url: www.cs.utexas.edu/users/moore/acl2/
Automated Reasoning Project [Preview]
Web resource provided by research group. Includes access to software developed by the team, covering such projects as FINDER (Finite Domain Enumerator), MaGIC (Matrix Generator for Implication Connectives) and Kripke (A theorem prover for the relevant logic LR).
url: cslab.anu.edu.au/ar/
Bertrand [Preview]
Bertrand solves sets of firstorder predicate logic statements for satisfiability (consistency), validity, and equivalence. It also checks single statements for "logical truth" (tautology) and "logical falsity" (selfcontradiction). Subjectidentity is supported. User can "step through" the solution algorithm as Bertrand solves a problem, and/or check the graphic tree produced.
url: www.uwosh.edu/faculty_staff/herzberg/Bertrand.html
Church [Preview]
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.
url: www.alcyone.com/software/church/
CrocoPat: Simple and Efficient Relational Programming [Preview]
CrocoPat manipulates relations of any arity, including graphs (which are binary relations). Its simple and expressive query and manipulation language is based on firstorder predicate calculus. The implementation is based on the data structure binary decision diagram (BDD).
url: mtc.epfl.ch/~beyer/CrocoPat/
Database of Existing Mechanized Reasoning Systems [Preview]
A list (over 50 entries) of automatic resolution provers (like Otter), interactive provers (like PVS) and other mechanized reasoning tools.
url: www-formal.stanford.edu/clt/ARS/systems.html
DC Proof Online [Preview]
New proofwriting software to teach the fundamentals of logic and proof. Enables users/students to write errorfree proofs by selecting rules of inference, axioms, etc. from convenient dropdown menus. Includes tutorial and exercises.
url: www.dcproof.com
DELORES [Preview]
A forwardchaining reasoning engine for defeasible logic, a less expressive but more efficient nonmonotonic logic.
url: www.dfki.uni-kl.de/~miller/delores/
Gateway to Logic [Preview]
A collection of webbased logic programs offering a number of logical functions: interactively or automatically build proofs, check theorems, and operate on propositional logic formulae.
url: logik.phl.univie.ac.at/~chris/formular-uk.html
Isabelle [Preview]
A generic theorem proving environment developed at Cambridge University (Larry Paulson) and TU Munich (Tobias Nipkow). Includes logic, documentation and free download.
url: www.cl.cam.ac.uk/Research/HVG/Isabelle/
j'Imp Theorem Prover [Preview]
An automatic theorem prover based on set of support and ordered resolution for firstorder logic. j'Imp is part of the Orbital library. This library is a Java class providing objectoriented representations and algorithms for logic, mathematics, and artificial intelligence.
url: www.functologic.com/logic/jImp.html
llprover [Preview]
A linear logic prover that searches a cutfree proof for the given twosided sequent of firstorder linear logic.
url: bach.scitec.kobe-u.ac.jp/llprover/
Logic Software from CSLI [Preview]
By Jon Barwise and John Etchemendy.
url: www-csli.stanford.edu/hp/Logic-software.html
LOOM [Preview]
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.
url: www.isi.edu/isd/LOOM/LOOM-HOME.html
LWB [Preview]
Logics Workbench.
url: www.lwb.unibe.ch/
ModLeanTAP: Lean Tableau-based Deduction for Propositional Modal Logics [Preview]
Lean Tableaubased Deduction for Propositional Modal Logics. By Bernhard Beckert.
url: i12www.ira.uka.de/modlean/
MUltlog [Preview]
Takes as input the specification of a finitelyvalued firstorder logic and produces a sequent calculus, a natural deduction system, and clause formation rules for this logic.
url: www.logic.at/multlog/
MUltseq [Preview]
A generic sequent prover for propositional finitelyvalued logics.
url: www.logic.at/multseq/
Paradox [Preview]
A tool that processes firstorder logic problems and tries to find finitedomain models for them; written by Koen Claessen and Niklas Sörensson. Haskell and C++; free download under GPL.
url: www.cs.chalmers.se/~koen/paradox/
Proof General [Preview]
Comprehensive GnuEmacs and XEmacs interface for several theorem provers including Coq, Isabelle, Lego, and Phox.
url: proofgeneral.inf.ed.ac.uk
ProofPower [Preview]
A suite of tools supporting specification and proof in Higher Order Logic (HOL) and in Z notation.
url: www.lemma-one.com/ProofPower/index/
PVS [Preview]
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.
url: pvs.csl.sri.com/
Spreadsheet Logic [Preview]
Free Microsoft Excel addin for processing and evaluating logic in your spreadhseet.
url: members.multimania.co.uk/jbusar/
Tree Proof Generator [Preview]
An implementation of the semantic tableaux method for classical propositional and predicate logic, written in JavaScript/DOM.
url: www.umsu.de/logik/trees
VeriFun [Preview]
A semiautomated system for the verification of statements about programs written in a functional programming language. The system is capable of following fullyautomated routines for theorem proving and hypotheses formation, as well as operating interactively when these routines fail.
url: www.informatik.tu-darmstadt.de/pm/verifun/
WinKE [Preview]
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.
url: staff.science.uva.nl/~ulle/WinKE/
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