Download Automata, Languages and Programming: 35th International by Ran Canetti (auth.), Luca Aceto, Ivan Damgård, Leslie Ann PDF

By Ran Canetti (auth.), Luca Aceto, Ivan Damgård, Leslie Ann Goldberg, Magnús M. Halldórsson, Anna Ingólfsdóttir, Igor Walukiewicz (eds.)

The two-volume set LNCS 5125 and LNCS 5126 constitutes the refereed court cases of the thirty fifth foreign Colloquium on Automata, Languages and Programming, ICALP 2008, held in Reykjavik, Iceland, in July 2008.

The 126 revised complete papers provided including four invited lectures have been conscientiously reviewed and chosen from a complete of 407 submissions. The papers are grouped in 3 significant tracks on algorithms, automata, complexity and video games, on good judgment, semantics, and idea of programming, and on safeguard and cryptography foundations. LNCS 5126 comprises fifty six contributions of music B and music C chosen from 208 submissions and a couple of invited lectures. The papers for music B are prepared in topical sections on bounds, dispensed computation, real-time and probabilistic platforms, good judgment and complexity, phrases and bushes, nonstandard types of computation, reasoning approximately computation, and verification. The papers of song C conceal subject matters in protection and cryptography comparable to concept, safe computation, two-party protocols and zero-knowledge, encryption with specific properties/quantum cryptography, numerous varieties of hashing, in addition to public-key cryptography and authentication.

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Extra info for Automata, Languages and Programming: 35th International Colloquium, ICALP 2008, Reykjavik, Iceland, July 7-11, 2008, Proceedings, Part II

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Its Parikh image is the least solution of the same system over the counting semiring. Since Newton’s method terminates over the counting semiring, and Newton approximants can be described by regular expressions, the result follows. Notice that we are by no means the first to provide an algebraic proof of Parikh’s theorem. A first proof was obtained by Aceto et al. in [1], and in fact the motivation of Hopkins and Kozen for the results of [13] was again to give a proof of the theorem. Our results in [5] make two contributions: first, the aesthetically appealing connection between Newton and Parikh, and, second, an algebraic algorithm for computing the Parikh image with a tight bound on the the number of iterations.

Esparza, S. Kiefer, and M. Luttenberger image of some regular language [18]. To see why this is the case, notice that a contextfree language is the least solution of a system of fixed point equations over the language semiring. Its Parikh image is the least solution of the same system over the counting semiring. Since Newton’s method terminates over the counting semiring, and Newton approximants can be described by regular expressions, the result follows. Notice that we are by no means the first to provide an algebraic proof of Parikh’s theorem.

For each class N of finite automata such that δNFA ⊆ N , the minimization problem for N is NP-hard. We start by formally defining the decision problems that are of interest to us, and then sketch an intuitive overview of our proof. Given an undirected graph G = (V, E) such that V is its set of vertices and E ⊆ V × V is its set of edges, we say that a set of vertices V C ⊆ V is a vertex cover of G if, for every edge (v1 , v2 ) ∈ E, V C contains v1 , v2 , or both. If B and C are finite collections of finite sets, we say that B is a set basis for C if, for each c ∈ C, there is a subcollection Bc of B whose union is c.

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