Skip to content

CohenCyril/tarjan

 
 

Repository files navigation

Tarjan and Kosaraju

Main files

Proofs of Tarjan strongly connected component algorithm (independent from each other)

  • tarjan_rank.v (751 sloc): proof with rank
  • tarjan_rank_bigmin.v (806 sloc): same proof but with a \min_ instead of multiple inequalities on the output rank
  • tarjan_num.v (1029 sloc): same proof as tarjan_rank_bigmin.v but with serial numbers instead of ranks
  • tarjan_nocolor.v (548 sloc): new proof, with ranks and without colors, less fields in environement and less invariants, preconditions and postconditions.
  • tarjan_nocolor_optim.v (560 sloc): same proof as tarjan_nocolor.v, but with the serial number field of the environement restored, and passing around stack extensions as sets.

Proof of Kosaraju strongly connected component algorithm

  • Kosaraju.v (679 sloc): proof of Kosaraju connected component algorithm

Extra library files

  • bigmin.v (137 sloc): extra library to deal with \min(i in A) F i
  • extra.v (265 sloc): naive definitions of strongly connected components and various basic extentions of mathcomp libraries on paths and fintypes.

Authors:

Cyril Cohen, Jean-Jacques Lévy and Laurent Théry

About

Formalization of Tarjan 72 algorithm in Coq with mathematical components and ssreflect

Resources

Stars

0 stars

Watchers

0 watching

Forks

Releases

No releases published

Packages

 
 
 

Contributors

Languages

  • Rocq Prover 97.8%
  • Nix 2.0%
  • Other 0.2%