Home > Science > Math > Logic and Foundations > Computational Logic > Logical Frameworks
A proof-assistant is a computer program with which a user can construct completely formal mathematical proofs in some kind of logical system. In contrast to a theorem prover, a proof-assistant cannot find proofs on its own
http://www.lama.univ-savoie.fr/sitelama/Membres/pages_web/RAFFALLI/af2.html
A type system based on second order intuitionistic logic.
http://www.cs.chalmers.se/~hallgren/Alfa/
A successor to the proof editor Alf with a graphical user interface, being developed at the Programming Logic Group at Chalmers. Available for download.
http://isabelle.informatik.tu-muenchen.de/
Homepage of the theorem prover environment developed by Larry Paulson at Cambridge University and Tobias Kipkow at TU Munich.
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.
http://www.cs.cornell.edu/Info/Projects/NuPrl/
A powerful tactic-based proof assistant, developed over the last 15 years at Cornell University. Features 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.
http://zermelo.dcs.ed.ac.uk/~proofgen/
Emacs based generic interface for theorem provers.
http://hol.sourceforge.net/
The system documented originated at the Laboratory for Applied Logic of Brigham Young University and features higher-order, classical, natural deduction with tactics.
http://www.dcs.ed.ac.uk/home/lego/
A powerful tool for interactive proof development in the natural deduction style. It supports refinement proof as a basic operation. The system design emphasizes removing the more tedious aspects of interactive proofs.
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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