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Math: Logic and Foundations: Computational Logic: Logical Frameworks


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  • MetaPRL logical programming environment
    http://cvs.metaprl.org:12000/metaprl/
    The next generation of the NuPrl proof development system. The main new features of MetaPRL include: 1) Modularity. Programs and logics are developed as modules that define computational, heuristic, and mathematical properties. 2) Speed. MetaPRL is more than two orders of magnitude faster than NuPrl.

  • NuPrl Proof Development System
    http://www.cs.cornell.edu/Info/Projects/NuPrl/
    A powerful tactic-based proof assistant, developed over the last 15 years at Cornell University. IFeatures include: very expressive logical language based on Martin-Lof type theory, extensive library of formal mathematics and automata theory, possibility of an extraction a certified program from the constructive proof of its formal specification, graphical proof editor. NuPrl was successfully used in verifying components of the Ensemble group communications system.

  • Kumo
    http://www.cs.ucsd.edu/groups/tatami/kumo/
    A web-based proof assistant. It assists with proofs in first order hidden logic, using OBJ3 as a reduction engine. The most important inference rules in first order logic and hidden equational logic are implemented, including induction and coinduction, generates proof documentation for the web, supports distributed cooperative proving.

  • Yarrow
    http://www.cs.ru.nl/~janz/yarrow/
    A proof-assistant for Pure Type Systems (PTSs), representing different logics and programming languages. A basic knowledge of Pure Type Systems and the Curry-Howard-de Bruijn isomorphism is required. (This isomorphism says how you can interpret types as propositions.)

 
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