Surf these sites: Af2 Proof Assistant -- a type system based on second order intuitionistic logic Alfa -- the next version of the proof editor Alf with a graphical user interface and is currently being developed. A test version available on the Sun computers at the department. 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. MetaPRL logical programming environment -- 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 that two orders of magnitude faster than NuPrl NuPrl Proof Development System -- a powerful tactic-based proof assistant. that was developed over the last 15 years at Cornell University. Its 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 Proof General -- Emacs based generic interface for theorem provers. The HOL Theorem Proving System -- The system documented originated at the Laboratory for Applied Logic of Brigham Young University and features higher-order, classical, natural deduction with tactics. The LEGO Proof Assistant -- 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. Yarrow -- a proof-assistant for Pure Type Systems (PTSs). In Yarrow you can experiment with various pure type systems, 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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