Skip to Main content Skip to Navigation
Conference papers

Büchi Automata Optimisations Formalised in Isabelle/HOL

Abstract : In applications of automata theory, one is interested in reductions in the size of automata that preserve the recognised language. For Büchi automata, two optimisations have been proposed: bisimulation reduction, which computes equivalence classes of states and collapses them, and $a$-balls reduction, which collapses strongly connected components (SCCs) of an automaton that only contain one single letter as edge label. In this paper, we present a formalisation of these algorithms in Isabelle/HOL, providing a formally verified implementation.
Complete list of metadata

Cited literature [9 references]  Display  Hide  Download
Contributor : Open Archive Toulouse Archive Ouverte (OATAO) Connect in order to contact the contributor
Submitted on : Wednesday, May 2, 2018 - 9:50:55 AM
Last modification on : Wednesday, June 1, 2022 - 4:29:21 AM
Long-term archiving on: : Monday, September 24, 2018 - 9:05:45 PM


Files produced by the author(s)



Alexander Schimpf, Jan-Georg Smaus. Büchi Automata Optimisations Formalised in Isabelle/HOL. 6th Indian Conference on Logics and its Applications (ICLA 2015), Jan 2015, Mumbai, India. pp.158-169, ⟨10.1007/978-3-662-45824-2_11⟩. ⟨hal-01782564⟩



Record views


Files downloads