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Alga is a library for algebraic construction and manipulation of graphs in Haskell. See this Haskell Symposium paper and the corresponding talk for the motivation behind the library, the underlying theory and implementation details. We can give semantics to the constructors in terms of the pair (V, E) of graph vertices and edges. Alga can handle graphs comprising millions of vertices and billions of edges in a matter of seconds, which is fast enough for many applications. We believe there is...
Proof Logic : A logical framework for theorem proving
Proof Logic is a functional and equational logical framework for theorem proving based on Combinatory Logic and Lambda Calculus, whose expressions are both terms and proofs proving the equality between two terms.
A collection of machine-checkend mathematical proofs
The Archive of Formal Proofs is a collection of proof libraries, examples, and larger scientifc developments, mechanically checked in the theorem prover Isabelle. It is organized in the way of a scientific journal. Submissions are refereed.
This is the extended euclidean algorithm implemented in haskell.
It will put every single step of the algorithm in a file and show the actual result and everything in between.
BuddyScout is an interface between BuDDy (Binary Decision Diagram library) and GHC (Glasgow Haskell Compiler). It enables you to use the BDD library from within Haskell programs.
Agda is a system for incrementally developing proofs and programs. This is the sourceforge project for the PREVIOUS Agda (Agda 1). A newer version of Agda (Agda 2) in beta testing is available from: http://wiki.portal.chalmers.se/agda/
The Dolphin Project is intended to be a research project aggregating tools related to OpenSource Satisfiability Solver tools and tools related to them like Bounded Model Checkers and Software Verifiers.
A set of MediaWiki extensions and other tools developed for the Twelf wiki (http://twelf.plparty.org) that enable a wiki to naturally incorporate logic Twelf in a number of meaningful and useful ways.