Automated Technology for Verification and Analysis: 6th by Sriram K. Rajamani (auth.), Sungdeok (Steve) Cha, Jin-Young

By Sriram K. Rajamani (auth.), Sungdeok (Steve) Cha, Jin-Young Choi, Moonzoo Kim, Insup Lee, Mahesh Viswanathan (eds.)

This ebook constitutes the refereed lawsuits of the sixth overseas Symposium on automatic expertise for Verification and research, ATVA 2008, held in Seoul, Korea, in October 2008.

The 21 revised complete papers five brief papers and seven software papers awarded including three invited talks have been conscientiously reviewed and chosen from eighty two submissions. The focos lies on theoretical the right way to in achieving right software program or structures, together with either practical and non useful facets; in addition to on purposes of concept in engineering equipment and specific domain names and dealing with of functional difficulties taking place in instruments. The papers are geared up in topical sections on version checking, software program verification, determination tactics, linear-time research, software demonstration papers, timed and stochastic structures, concept, and brief papers.

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Extra resources for Automated Technology for Verification and Analysis: 6th International Symposium, ATVA 2008, Seoul, Korea, October 20-23, 2008. Proceedings

Example text

Since Rψ does not contain edges out-going from nodes where ψ1 is not satisfied, then (K, x) |= ψ1 for all x in πl , except at most wr , and CTL Model-Checking with Graded Quantifiers 25 therefore each πl is an evidence of ψ1 Uψ2 . Thus (K, s) |= ψ. Now, let π0 , . . , πk be k + 1 distinct finite paths connecting s to nodes where ψ2 holds; from the definition of Gψ , πi is an evidence of ψ1 Uψ2 for all 0 ≤ i ≤ k, and therefore (K, s) |= ψ, as well. (only if ): If (K, s) |= E >k ψ1 Uψ2 then obviously (K, s) |= E >0 ψ1 Uψ2 , therefore s ∈ Sψ .

T. ψ ← True; end Our algorithm considers the graph (S , R ), subgraph of K, of the states where the formula E >0 ψ1 Uψ2 holds (without the edges outgoing from states where ψ1 doesn’t hold), and adds a new destination node d with incoming edges from all the nodes where ψ2 holds (the capacity of the link (s, d) is the in-degree of s, while the remaining edges have capacity 1). g. [CLRS01]. However, it is easy to see that in our network the maximum flow from a node s to d is equal to the maximum number of edge-disjoint paths from s to the set {t ∈ S \ {d} | (t, d) ∈ R }, therefore our algorithm has only to evaluate the maximum flow from each state to d.

Journal of Algorithms 48(1), 239–256 (2003) 32 A. Ferrante, M. Napoli, and M. : Counterexamples revisited: Principles, algorithms, applications. In: Verification: Theory and Practice, pp. : Model checking and evidence exploration. In: ECBS, pp. : In so many possible worlds. : Graded CTL. : The two–variable guarded fragment with transitive relations. In: LICS, pp. : Two–variable logic with counting is decidable. In: LICS, pp. : Qualifying number restrictions in concept languages. In: KR, pp. : The model checker SPIN.

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