Reachability analysis for timed automata using max-plus algebra

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Authors	LU Qi MADSEN Michael MILATA Martin RAVN Soren FAHRENBERG Uli LARSEN Kim G.
Year of publication	2012
Type	Article in Periodical
Magazine / Source	Journal of Logic and Algebraic Programming
MU Faculty or unit	Faculty of Informatics
Citation
Web	http://www.sciencedirect.com/science/article/pii/S156783261100097X
Doi	http://dx.doi.org/10.1016/j.jlap.2011.10.004
Field	Informatics
Keywords	Timed automaton; Real-time model checking; Data structure; Max-plus algebra; Max-plus polyhedron
Attached files	maxplus-paper.pdf
Description	We show that max-plus polyhedra are usable as a data structure in reachability analysis of timed automata. Drawing inspiration from the extensive work that has been done on difference bound matrices, as well as previous work on max-plus polyhedra in other areas, we develop the algorithms needed to perform forward and backward reachability analysis using max-plus polyhedra. To show that the approach works in practice and theory alike, we have created a proof-of-concept implementation on top of the model checker opaal.
Related projects:	Czech Republic membership in the European Research Consortium for Informatics and Mathematics Rozsáhlé výpočetní systémy: modely, aplikace a verifikace