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Büchi Automata Optimisations Formalised in Isabelle/HOL

Schimpf, Alexander and Smaus, Jan-Georg Büchi Automata Optimisations Formalised in Isabelle/HOL. (2015) In: 6th Indian Conference on Logics and its Applications (ICLA 2015), 8 January 2015 - 10 January 2015 (Mumbai, India).

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Official URL: https://doi.org/10.1007/978-3-662-45824-2_11

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.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Springer editor. This papers appears in Volume 8923 of Lecture Notes in Computer Science ISSN : 0302-9743 ISBN: 978-3-662-45823-5 The original PDF is available at: https://link.springer.com/chapter/10.1007/978-3-662-45824-2_11
HAL Id:hal-01782564
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Universität Freiburg (GERMANY)
Laboratory name:
Funders:
DFG grant CAVA, Computer Aided Verification of Automata
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Deposited By: IRIT IRIT
Deposited On:30 Mar 2018 13:56

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