Download Automated Technology for Verification and Analysis: 8th by Krishnendu Chatterjee, Thomas A. Henzinger (auth.), Ahmed PDF

By Krishnendu Chatterjee, Thomas A. Henzinger (auth.), Ahmed Bouajjani, Wei-Ngan Chin (eds.)

This e-book constitutes the refereed complaints of the eighth overseas Symposium on automatic expertise for Verification and research, ATVA 2010, held in Singapore, in September 2010. The publication contains three invited talks, 21 typical papers and nine device papers.

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Extra info for Automated Technology for Verification and Analysis: 8th International Symposium, ATVA 2010, Singapore, September 21-24, 2010. Proceedings

Example text

While the deterministic DCW constructed in Theorem 11 accepts only words that are accepted in the original NPBW with a fixed eventual bound, Theorem 6 enables us to use such a DCW in the process of deciding properties of the NPBW. In particular, for a regular2 NPBW A, Theorem 6 implies that a DCW constructed with bound 2 · 3n is equivalent to A. Recall that NPBWs are NBW-type. By [6], an NBW whose language is DCW-recognizable can be translated to a DCW with 3n states. Hence we have the following.

H(am , ym )} of m half-spaces: m H(ai , yi ) where each half-space H(ai , yi ) ∈ H is defined as H(ai , yi ) = I= i=0 {x | ai , x ≤ ai , yi = γi }. We say that ai , x ≤ ai , yi is the linear constraint associated with H(ai , yi ). For simplicity, we sometimes use H(ai , yi ) to refer to both the half-space and its associated constraint. The polyhedron defined by the intersection of the half-spaces of H is denoted by P oly(H). We emphasize that in the above description of I, the set of associated constraints may not be minimal, in the sense that it may contain redundant constraints.

In this section we study regular prompt languages, namely languages that are both NPBW and NBW recognizable. We use reg-NPBW and reg-DPBW to denote the classes NBW ∩ NPBW and NBW ∩ DPBW, respectively. For an automaton A, we denote by AB , AP , and AC the automaton A when referred to as an NBW, NPBW, and NCW, respectively. 1 Typeness Given two types of automata γ1 and γ2 , we say that a γ1 is γ2 -type if for every automaton A in the class γ1 , if A has an equivalent automaton in the class γ2 , then there exists an equivalent automaton in the class γ2 on the same structure as A (that is, only changing the acceptance condition).

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