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Titlebook: STACS 92; 9th Annual Symposium Alain Finkel,Matthias Jantzen Conference proceedings 1992 Springer-Verlag Berlin Heidelberg 1992 Automat.alg

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Conference proceedings 1992I).The volume includes three invited lectures and sections onparallel algorithms, logic and semantics,computationalgeometry, automata and languages, structuralcomplexity,computational geometry and learning theory, complexityandcommunication, distributed systems, complexity, algorithms,cryptography, VLSI, words and rewriting, and systems.
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0302-9743 rnately in France and Germanyand is organized jointly by the Special Interest Group forFundamental Computer Science of the AssociationFrancaisedes Sciences et Technologies de l‘Information et desSyst mes (AFCET) and the Special Interest Group forTheoretical Computer Science ofthe Gesellschaft f}rInf
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Joining ,- and ,-recognizable sets of natural numbers,ivides . and . are multiplicatively independent (i.e. they have no common power) is undecidable. Actually we prove that multiplication is definable in < IN, +, .., ..>. This shows that the theorem of Büchi cannot be generalized to a class containing all .- and all .-recognizable sets.
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Equality and disequality constraints on direct subterms in tree automata,We define an extension of tree automata by adding some tests in the rules. The goal is to handle non linearity. We obtain a family which has good closure and decidability properties and we give some applications.
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Locally definable acceptance types for polynomial time machines, {0,..., .−1}. {0,..., .−1}, . = 2 ... NP, ..
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