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Perl Contains the Lambda-Calculus (Popularity:  )
http://perl.plover.com/lambda/
Explains why this computer program is well suited to apply to functional application.
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Kolmogorov Complexity in Combinatory Logic (Popularity: )
http://www.cwi.nl/~tromp/cl/cl.html
Online article by John Tromp. Kolmogorov complexity is a recursion theoretic characterisation of randomness.
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Dual Identity Combinators (Popularity: )
http://www.bu.edu/wcp/Papers/Logi/LogiBimb.htm
Article by Katalin Bimbó presented at the 20th World Congress of Philosophy. Investigates the addition of identity combinators, in the formulae-as-types sense, to combinatory logic.
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Lambda (Popularity: )
http://www.csse.monash.edu.au/~lloyd/tildeFP/Lambda/
An online introduction to the lambda calculus by Lloyd Allison, complete with a web form that will evaluate lambda expressions.
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Af2 Proof Assistant (Popularity: )
http://www.lama.univ-savoie.fr/sitelama/Membres/pages_web//RAFFALLI/af2.html
A type system based on second order intuitionistic logic.
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The LEGO Proof Assistant (Popularity: )
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 ...
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Automated Reasoning (Popularity: )
http://plato.stanford.edu/entries/reasoning-automated/
Survey of automated deduction and theorem proving; from the Stanford Encyclopedia of Philosophy by Frederic Portoraro.
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Alfa (Popularity: )
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.
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Kumo (Popularity: )
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 ...
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The HOL Theorem Proving System (Popularity: )
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.
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The Coq proof assistant (Popularity: )
http://coq.inria.fr/
Allows the user to handle calculus assertions, to check mechanically proofs of these assertions, helps to find formal proofs, extracts a certified program from the constructive proof of its formal ...
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NuPrl Proof Development System (Popularity: )
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 ...
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Proof General (Popularity: )
http://zermelo.dcs.ed.ac.uk/~proofgen/
Emacs based generic interface for theorem provers.
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MetaPRL logical programming environment (Popularity: )
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 ...
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Isabelle (Popularity: )
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.
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CtCoq (Popularity: )
http://www-sop.inria.fr/croap/ctcoq/ctcoq-eng.html
a working environment for the Coq theorem prover (XWindow)
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