The Practice of Logical Frameworks - Comprehensive survey article by Frank Pfenning (1996) discussing the history of work on logical frameworks and their current open problems. - http://citeseer.ist.psu.edu/pfenning96practice.html
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 p - http://www.cs.ru.nl/~janz/yarrow/
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. - http://hol.sourceforge.net/
Isabelle - Homepage of the theorem prover environment developed by Larry Paulson at Cambridge University and Tobias Kipkow at TU Munich. - http://isabelle.informatik.tu-muenchen.de/
Af2 Proof Assistant - A type system based on second order intuitionistic logic. - http://www.lama.univ-savoie.fr/sitelama/Membres/pages_web//RAFFALLI/af2.html
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, ge - http://www.cs.ucsd.edu/groups/tatami/kumo/
Proof General - Emacs based generic interface for theorem provers. - http://zermelo.dcs.ed.ac.uk/~proofgen/
NuPrl Proof Development System - 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 - http://www.cs.cornell.edu/Info/Projects/NuPrl/
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://www.cs.chalmers.se/~hallgren/Alfa/
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. - http://www.dcs.ed.ac.uk/home/lego/
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 t - http://cvs.metaprl.org:12000/metaprl/