Finite state model checkers
 
Model checker
Author
Licence
System language
Property language
Notes
SPIN Bell Labs free Promella (process algebra)  Inline assertions, end-state labels, progress-state labels, acceptance-state labels, LTL properties, or never-claims (Buchi automata)  
nuSMV (the new Symbolic Model Verifier) Carnegie Mellon University , Group at University of Genova 

Mechanized Reasoning Group at University of Trento. 

free SMV-like language (for Kripke structure) LTL, CTL faster then SMV, require more memory, better documented
BMC (bounded model checker Early beta version) Carnegie Mellon  free Simple SMV-like language (no modules).   Uses SAT procedures instead of BDDs:
bounded depth but usually faster, less memory.
MCB (a non symbolic model checker) Carnegie Mellon  free Moore FSM CTL  
Fc2Tools & Autograph (graphic editor)

Inria

Inria and Ecole des Mines free Communication automata (process algebra), observers or modal temporal logic formulae  
Verisoft Lucent (Bell Labs) free Any program    
SGM (state graph manipulator)  Chung Cheng University
(Taiwan)
free for education / research Timed automata model checking is under development  
EVALUATOR (CADP) Inria free for research LTS, there are interfaces/on fly translators for Lotos, IF, XTL, experimental translators from UML etc regular alternation-free mu-calculus with Boolean formulas over actions and regular expressions over action sequences. Facilities for building property libraries a part of CADP package

 

Model checker list

http://www.abo.fi/~johan.lilius/mc/mclinks.html
 
 

FSM tool lists

http://www.csd.uwo.ca/staff/drraymon/.grail/links.html

http://www-ihs.theoinf.tu-ilmenau.de/forschung/links/fsm-tools.html
 

Some tools for Discrete Mathematics (graphs, posets etc)

http://vega.ijp.si/Htmldoc/related.htm

http://www.angelfire.com/mi/raffaele55/math.html