Titlebook: Automata, Languages and Programming; 36th International C Susanne Albers,Alberto Marchetti-Spaccamela,Wolfga Conference proceedings 2009 Sp

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Equations Defining the Polynomial Closure of a Lattice of Regular Languages, when . is a lattice of regular languages closed under quotients, or a ., as we call it in the sequel. The term “equational description” refers to a recent paper [5], where it was shown that any lattice of regular languages can be defined by a set of profinite equations. More formally, our main result can be stated as follows:

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The Theory of Stabilisation Monoids and Regular Cost Functionsdeterminism is a weakening of the standard notion of determinism, that replaces it in this context), and a suitable notion of recognisability by stabilisation monoids. We also provide closure and decidability results.

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A Tight Lower Bound for Determinization of Transition Labeled Büchi Automataproblem. The function hist(.) is in .((1.64.).) and in .((1.65.).)..Our result entails a lower bound of hist(.???1) when the input Büchi automaton has its Büchi acceptance condition labeling states (as it is usual). Those lower bounds remain when the output deterministic Rabin automaton has its Rabin acceptance condition labeling states.

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Diagrammatic Confluence and Completionous methods, no ordering of the set of terms is required, but can be used if available. Unlike ordered completion, rewrite proofs are closed under instantiation. Examples are presented, including Kleene’s and Huet’s classical examples showing that non-terminating local-confluent relations may not be confluent.

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Conference proceedings 2009. ICALP is a series of annual conferences of the European Association for Theoretical Computer Science (EATCS) which ?rst took place in 1972. This year, the ICALP program consisted of the established track A (focusing on algorithms, complexity and games) and track B (focusing on logic, automata, sem

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Verwendung, Vergleiche und GrundgleichungenWe prove that the boundedness problem for monadic second-order logic over the class of all finite words is decidable.

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