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Reachability Analysis of Reversal-bounded Automata on Series-Parallel Graphs

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conference contribution
posted on 26.05.2020, 15:38 by R Dimitrova, R Majumdar
Extensions to finite-state automata on strings, such as multi-head automata or multi-counter automata, have been successfully used to encode many infinite-state non-regular verification problems. In this paper, we consider a generalization of automata-theoretic infinite-state verification from strings to labeled series-parallel graphs. We define a model of non-deterministic, 2-way, concurrent automata working on series-parallel graphs and communicating through shared registers on the nodes of the graph. We consider the following verification problem: given a family of series-parallel graphs described by a context-free graph transformation system (GTS), and a concurrent automaton over series-parallel graphs, is some graph generated by the GTS accepted by the automaton? The general problem is undecidable already for (one-way) multi-head automata over strings. We show that a bounded version, where the automata make a fixed number of reversals along the graph and use a fixed number of shared registers is decidable, even though there is no bound on the sizes of series-parallel graphs generated by the GTS. Our decidability result is based on establishing that the number of context switches is bounded and on an encoding of the computation of bounded concurrent automata to reduce the emptiness problem to the emptiness problem for pushdown automata.

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Citation

Proceedings Sixth International Symposium on Games, Automata, Logics and Formal Verification, GandALF 2015, EPTCS 193, 2015, pp. 100-114

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Informatics

Source

International Symposium on Games, Automata, Logics and Formal Verification

Published in

Proceedings Sixth International Symposium on Games EPTCS

Volume

193

Pagination

100-114

Copyright date

2015

Language

en

Publisher version

https://arxiv.org/abs/1509.07202

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University of Leicester Publications

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