Automated Technology for Verification and Analysis: 4th by Mihalis Yannakakis (auth.), Susanne Graf, Wenhui Zhang

By Mihalis Yannakakis (auth.), Susanne Graf, Wenhui Zhang (eds.)

The computerized know-how for Veri?cation and research (ATVA) foreign symposium sequence was once initiated in 2003, responding to a transforming into curiosity in formal veri?cation spurred via the booming IT undefined, really layout and production in East Asia. Its objective is to advertise study on automatic veri?cation and research within the sector by way of supplying a discussion board for int- motion among the nearby and the foreign research/industrial commu- ties of the ?eld. ATVA 2006, the fourth of the ATVA sequence, was once held in Beijing, China, October 23-26, 2006. the most issues of the symposium contain th- ries worthwhile for offering designers with automatic help for acquiring right software program or platforms, in addition to the implementation of such theories in instruments or their program. This yr, we obtained a checklist variety of papers: a complete of 137 submissions from 27 nations. each one submission was once assigned to 3 software Comm- tee contributors, who may possibly request aid from subreviewers, for rigorous and reasonable assessment. The ?nal deliberation via this system Committee used to be carried out via Springer’s on-line convention provider for a period of approximately 10 days after approximately all overview experiences have been amassed. in any case, 35 papers have been chosen for inclusion within the software. ATVA 2006 had 3 keynote speeches given respectively by way of Thomas Ball, Jin Yang, and Mihalis Yannakakis. the most symposium used to be preceded by means of an academic day, including 3 two-hourlectures given by way of the keynotespeakers.

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Additional info for Automated Technology for Verification and Analysis: 4th International Symposium, ATVA 2006, Beijing, China, October 23-26, 2006. Proceedings

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Xt ) ∈ (n ⊕ t), a run n ρ satisfies A# n,v if ρ = π1 • π2 • · · · • πt and for each i : 1 ≤ i ≤ t: (i) |πi | = xi , (ii) πi (0) ∈ A, and (iii) πi (j) ∈ A, for each j : 0 < j < |πi |. Eagerness of M gives the following bound on the measure of runs satisfying A# n,v . Lemma 1. For each n, t : 1 ≤ t ≤ n, v ∈ (n ⊕ t), and s ∈ A, it is the case that t n−t PM s |= A# . n,v ≤ b β Recalling the definition of Us1 (n) and using Lemma 1: Us1 (n) ≤ n c t=1 PM s |= A# n,t = n c PM s |= A# n,v ≤ t=1 v∈(n⊕t) n c bt β n−t = t=1 v∈(n⊕t) t=1 To bound the last sum, we use the following lemma.

Abdulla, N. B. Henda, R. Mayr, and S. Sandberg. Limiting behavior of Markov chains with eager attractors. In Proc. QEST ’06. IEEE Computer Society Press, 2006. To appear. 6. P. A. Abdulla and A. Rabinovich. Verification of probabilistic systems with faulty communication. In Proc. FOSSACS ’03, vol. 2620 of LNCS, pp. 39–53, 2003. 7. E. Asarin and P. Collins. Noisy Turing machines. In Proc. ICALP ’05, pp. 1031–1042, 2005. A. Abdulla et al. 8. A. Aziz, K. Sanwal, V. Singhal, and R. Brayton. Model-checking continuous-time Markov chains.

In Section 4, we present our probabilistic learning approach. The experimental results are reported in Section 5. Finally, Section 6 concludes the paper. 2 Preliminaries We use state transition systems to model systems. Given a non-empty set of atomic propositions AP , let M = S, S0 , R, L be a transition system where – – – – S is the set of states. S0 ⊆ S is the set of initial states. R ⊆ S × S is the transition relation. L : S → 2AP is the labeling function. Let V = {v1 , v2 , . . v|V | } be the universal domain of system variables.

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