Titlebook: Mathematical Foundations of Computer Science 2011; 36th International S Filip Murlak,Piotr Sankowski Conference proceedings 2011 Springer-V

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978-3-642-22992-3Springer-Verlag Berlin Heidelberg 2011

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Invariantization of ListingsWe consider a halting problem for nondeterministic Turing machines and show via invariantization of listings the relationship of its complexity to

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Some Variants of the Star Height ProblemGiven a family of recognizable languages ..,…,.. and recognizable languages ..???.., the relative inclusion star height problem means to compute the minimal star height of some rational expression . over ..,…,.. satisfying ..???.(.)???... We show that this problem is of elementary complexity and give an analysis of its complexity.

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Duality and Recognitionny practical and theoretical problems in automata theory. It is particularly useful, via the advanced theory initiated by Eilenberg and Reiterman, in separating various complexity classes and, in some cases it leads to decidability of such classes. In joint work with Jean-éric Pin and Serge Grigorie

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干旱

New Proofs in Graph Minors main result of the theory, known as the graph minor structure theorem, approximately describes the structure of graphs which do not contain a fixed graph as a minor. The structure theorem is the central piece of many of the algorithmic applications of graph minor theory. Unfortunately, the statemen

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