Math Logic and Foundations Software in the Best of the Web Directory

Math Logic and Foundations Software

ACL2 Version 2.9

Computational Logic Applicative Common Lisp. Models computer systems and proves properties of those models. With links to tours and demos, and software download.

ARG Software

Provides links to software developed by the Automated Reasoning Group from the Computer Sciences Laboratory of the Australian National University.

Church

Allows simple experimentation with the lambda calculus, first developed by Church. To be used as a module imported by Python programs.

Isabelle

Generic proof assistant that allows mathematical formulas to be expressed in a formal language and provides tools for proving those formulas in a logical calculus. Available for download.

Linear Logic Prover (llprover)

Searches a cut-free proof of the given two-sided sequent of first-order linear logic. With links to the prover program and whole package, user's guide, and related links.

LOOM

Knowledge representation language developed by researchers in the Artificial Intelligence research group at the University of Southern California's Information Sciences Institute. With links to download software.

MUltlog

Project of the Vienna Group for Multiple-valued Logics. Available for free download.

MUltseq

Companion for MUltlog. Uses rules from Multlog to construct derivations - automatically or interactively - for sequents given directly by the user or generated from the (quasi-) equations.

Proof General

Generic interface for proof assistants, based on the customizable text editor Emacs.

ProofPower

Supports specification and proof in Higher Order Logic (HOL) and in the Z notation. All packages, except PPDaz, are free, open-source, software made available under the terms of the GNU General Public License.

PVS Specification and Verification System

Specification language integrated with support tools and a theorem prover. With documentation and download links.

Tree Proof Generator (Semantic Tableaux)

Generates tableaux for classical propositional and predicate logic.

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