Ontology type: schema:Chapter Open Access: True
2002-03-15
AUTHORSPetr Jančar , Antonín Kučera , Faron Moller , Zdeněk Sawa
ABSTRACTWe present a general method for proving DP-hardness of equivalencechecking problems on 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 onecounter 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). More... »
PAGES172-186
Foundations of Software Science and Computation Structures
ISBN
978-3-540-43366-8
978-3-540-45931-6
http://scigraph.springernature.com/pub.10.1007/3-540-45931-6_13
DOIhttp://dx.doi.org/10.1007/3-540-45931-6_13
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