Download Automated Technology for Verification and Analysis: 10th by Shuyuan Zhang, Sharad Malik, Rick McGeer (auth.), Supratik PDF

By Shuyuan Zhang, Sharad Malik, Rick McGeer (auth.), Supratik Chakraborty, Madhavan Mukund (eds.)

This ebook constitutes the completely refereed complaints of the tenth foreign Symposium on computerized know-how for Verification and research, ATVA 2012, held at Thiruvananthapuram, Kerala, India, in October 2012. The 25 average papers, three invited papers and four device papers offered have been conscientiously chosen from various submissions. convention papers are geared up in nine technical periods, masking the subjects of automata idea, logics and proofs, version checking, software program verification, synthesis, verification and parallelism, probabilistic verification, constraint fixing and functions, and probabilistic systems.

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Additional resources for Automated Technology for Verification and Analysis: 10th International Symposium, ATVA 2012, Thiruvananthapuram, India, October 3-6, 2012. Proceedings

Example text

A6 , a2 #, a5 #, while the values of the words a1 #, a3 #, a4 #, a6 # differs by 1. All other words are mapped by both A and A to 0. The approximation enables A to merge the upper and lower three states that are reachable in one transition in A. Theorem 1. Let n ≥ 1 and t ≥ 0. Given two LDFAs A and A over Ln , deciding whether A t-approximates A is NLOGSPACE-complete. Proof. We start with the upper bound and rely on the fact that co-NLOGSPACE = NLOGSPACE [15]. To decide whether A does not t-approximate A, it is enough to find a word w ∈ Σ ∗ such that |L(A )(w)−L(A)(w)| > t.

T }. Next we assume that the values of the variables can be observed with only finite precision and accordingly partition the range of each variable yi of the ODE into a set of intervals Ii (Ij ). 4     0 3 r 1 3 r  r3T Pr(r31 = I'| r30 = I') = 1 Fig. 3. (a) The enzyme catalytic reaction network. (b) The ODE model. (c) The DBN approximation. distributions (usually uniform) over certain intervals. We then sample the initial states of the system many times [11] and generate a trajectory by numerical integration for each sampled initial state.

A fully-ordered LDFA with two different minimal LDFAs 3 #, 2 Approximating Deterministic Lattice Automata 29 Minimal deterministic automata capture the combinatorial nature and complexity of formal languages. Beyond this theoretical importance, deterministic automata have many applications in practice. They are used in run-time monitoring, pattern recognition, and modeling systems. Thus, the minimization problem for deterministic automata is of great interest, both theoretically and in practice.

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