Bisimilarity of Pushdown Systems is Nonelementary
نویسندگان
چکیده
Given two pushdown systems, the bisimilarity problem asks whether they are bisimilar. While this problem is known to be decidable our main result states that it is nonelementary, improving EXPTIME-hardness, which was the previously best known lower bound for this problem. Our lower bound result holds for normed pushdown systems as well.
منابع مشابه
Bisimulation equivalence of first-order grammars is Ackermann-hard
Bisimulation equivalence (or bisimilarity) of first-order grammars is decidable, as follows from the decidability result by Sénizergues (1998, 2005) that has been given in an equivalent framework of equational graphs with finite out-degree, or of pushdown automata (PDA) with only deterministic and popping ε-transitions. Benedikt, Göller, Kiefer, and Murawski (2013) have shown that the bisimilar...
متن کاملBisimilarity of Probabilistic Pushdown Automata
We study the bisimilarity problem for probabilistic pushdown automata (pPDA) and subclasses thereof. Our definition of pPDA allows both probabilistic and non-deterministic branching, generalising the classical notion of pushdown automata (without ε-transitions). Our first contribution is a general construction that reduces checking bisimilarity of probabilistic transition systems to checking bi...
متن کاملGame Characterization of Probabilistic Bisimilarity, and Applications to Pushdown Automata
We study the bisimilarity problem for probabilistic pushdown automata (pPDA) and subclasses thereof. Our definition of pPDA allows both probabilistic and non-deterministic branching, generalising the classical notion of pushdown automata (without ε-transitions). We first show a general characterization of probabilistic bisimilarity in terms of two-player games, which naturally reduces checking ...
متن کاملOn the Complexity of Bisimulation Problems for Pushdown Automata
All bisimulation problems for pushdown automata are at least PSPACE-hard. In particular, we show that (1) Weak bisimilarity of pushdown automata and nite automata is PSPACE-hard, even for a small xed nite automaton, (2) Strong bisimilarity of pushdown au-tomata and nite automata is PSPACE-hard, but polynomial for every xed nite automaton, (3) Regularity ((niteness) of pushdown automata w.r.t. w...
متن کاملOn the Power of Labels in Transition Systems
In this paper we discuss the role of labels in transition systems with regard to bisimilarity and model checking problems. We suggest a general reduction from labelled transition systems to unlabelled ones, preserving bisimilarity and satisfiability of μ-calculus formulas. We apply the reduction to the class of transition systems generated by Petri nets and pushdown automata, and obtain several...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- CoRR
دوره abs/1210.7686 شماره
صفحات -
تاریخ انتشار 2012