JANČAR, Petr, Antonín KUČERA, Faron MOLLER a Zdeněk SAWA. DP lower bounds for equivalence-checking and model-checking of one-counter automata. Information and Computation. Academic Press, 2004, roč. 188, č. 1, s. 1-19. ISSN 0890-5401. |
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@article{491238, author = {Jančar, Petr and Kučera, Antonín and Moller, Faron and Sawa, Zdeněk}, article_number = {1}, keywords = {one-counter automata; equivalence-checking; bisimilarity}, language = {eng}, issn = {0890-5401}, journal = {Information and Computation}, title = {DP lower bounds for equivalence-checking and model-checking of one-counter automata}, volume = {188}, year = {2004} }
TY - JOUR ID - 491238 AU - Jančar, Petr - Kučera, Antonín - Moller, Faron - Sawa, Zdeněk PY - 2004 TI - DP lower bounds for equivalence-checking and model-checking of one-counter automata JF - Information and Computation VL - 188 IS - 1 SP - 1-19 EP - 1-19 PB - Academic Press SN - 08905401 KW - one-counter automata KW - equivalence-checking KW - bisimilarity N2 - We present a general method for proving DP-hardness of problems related to formal verification of one-counter automata. For this we show a reduction of the SAT-UNSAT problem to the truth problem for a fragment of (Presburger) arithmetic. The fragment contains only special formulas with one free variable, and is particularly apt for transforming to simulation-like equivalences on one-counter automata. In this way we show that the membership problem for any relation subsuming bisimilarity and subsumed by simulation preorder is DP-hard (even) for one-counter nets (where the counter cannot be tested for zero). We also show DP-hardness for deciding simulation between one-counter automata and finite-state systems (in both directions), and for the model-checking problem with one-counter nets and the branching-time temporal logic EF. ER -
JANČAR, Petr, Antonín KUČERA, Faron MOLLER a Zdeněk SAWA. DP lower bounds for equivalence-checking and model-checking of one-counter automata. \textit{Information and Computation}. Academic Press, 2004, roč.~188, č.~1, s.~1-19. ISSN~0890-5401.
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