Download Automata, Languages, and Programming: 42nd International by Magnús M. Halldórsson, Kazuo Iwama, Naoki Kobayashi, Bettina PDF

By Magnús M. Halldórsson, Kazuo Iwama, Naoki Kobayashi, Bettina Speckmann

The two-volume set LNCS 9134 and LNCS 9135 constitutes the refereed lawsuits of the forty second foreign Colloquium on Automata, Languages and Programming, ICALP 2015, held in Kyoto, Japan, in July 2015. The 143 revised complete papers provided have been conscientiously reviewed and chosen from 507 submissions. The papers are geared up within the following 3 tracks: algorithms, complexity, and video games; common sense, semantics, automata, and conception of programming; and foundations of networked computation: versions, algorithms, and knowledge management.

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Extra resources for Automata, Languages, and Programming: 42nd International Colloquium, ICALP 2015, Kyoto, Japan, July 6-10, 2015, Proceedings, Part I

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Moreover, the probability that randomizing an instance in Non results in an encoding that corresponds to some ‘small’ error vector5 , ≤ p−δm . 1m -correctness. $ • Privacy. enc on a Non instance. p. there exist no (s, small5 e) such that b = As + e. p. A, e corresponding to random (A, b) are such that the distributions RA and Re are close to uniform. 4 Oracle Separation Between SRE and SZK In this section, we crucially use the following Lemma about the class ( , δ)-SRE. This Lemma follows directly from the definition of ( , δ)-SRE.

Oracle-based SZK proof but does not have an oracle-based SRE. This shows that a containment of SZK in SRE cannot be proved via relativizing techniques. Several natural questions remain open. The first is to identify a complete language in SRE, thereby obtaining a better characterization of this class. A second is to better understand the relation between statistical randomized encodings and random self-reductions (RSR). An RSR for a language or a promise problem can be viewed as a restricted form of SRE where the decoder just decides the problem itself.

4 Generalized Ill Conditioned Bottleneck from Speedup We show that if an in-place algorithm An = (M (0) = Id, . . , M (m) = F ) speeds up FFT by a factor of b ≥ 1, then for some t the matrix M (t) is ill conditioned (in a generalized sense, to be explained). This is a generalization of the main result in [2], with a simpler proof that can be found in the extended version [3]. for the sake of completeness. Theorem 41. Fix n, and let An = {Id = M (0 , . . , M (m) } be an in-place algorithm computing some linear function in Rn and let P, Q ∈ Rn×n be two matrices.

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