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- GAF – Group Action Forum - International mathematical association formed as an interdisciplinary discussion forum for mathematicians interested in different branches of mathematics.
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Calculus >
Software
- Tools of Tensor Calculus - Software from Mathematica for doing tensor and exterior calculus on differentiable manifolds. Includes download links.
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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.
- Coq Proof Assistant - Proof management system, in which proof is mechanically checked by the machine. Provides links for download, documentation, standard library, user's contribution and related tools.
- DELORES- Defeasible Logic Reasoning System - Forward-chaining reasoning engine for defeasible logic. Distributed as C source code.
- Gateway to Logic - Collection of interactive logic software that can be useful in lectures and courses for demonstration and visualization.
- 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.
- Logic Software from CSLI - Software packages include Hyperproof, The Language of First-order Logic, Tarski's World and Turing's World. Published by the Center for the Study of Language and Information.
- 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.
- Logics Workbench - Offers possibility to work in a user-friendly way in classical and non-classical propositional logics, including nonmonotonic approaches. Developed at the University of Bern in Switzerland.
- 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.
- Paradox - Processes first-order logic problems and tries to find finite-domain models for them. With link to download program.
- 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.
- Protein - PROver with a Theory Extension Interface - Automated theorem prover for first-order clause logic. Available for free download.
- 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.
- VeriFun - Java application to verify functional programs. With link to download program.
- WinKE: Proof Assistant for Teaching Logic - Based on the KE calculus, a refutation system combining features from Smullyan's analytic tableaux and Gentzen's natural deduction. With information on how to download freeware.
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Software
- Edu2000 - Different mathematical software, including visual algebra, visual plane geometry, visual solid geometry and visual trigonometry.
- KwikTrig - Tool for geometry and trigonometry. Useful to machinists, tool makers, CNC programmers, engineers, surveyors, landscapers, cabinet makers, carpenters, crane operators, students, teachers and others.
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