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Kleene algebra, from automata algorithms to proof assistants

Damien Pous ( CNRS, ENS Lyon )

Kleene algebra are the algebraic counterpart to finite automata on finite words.
First I will describe two recent algorithms for finite automata: one
exploiting bisimulations up to congruence to tame non-determinism, and
one exploiting binary decision diagrams to handle large alphabets.
Then I will show how such algorithms can be used to provide powerful
automation tools in a proof assistant like Coq, in particular in for
program certification.



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