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Titlebook: Algebraic Informatics; 4th International Co Franz Winkler Conference proceedings 2011 Springer Berlin Heidelberg 2011 Groebner bases.algebr

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Program Transformation and Compilatione nondeterministic message complexity technique, we are able to state a new necessary condition for the recognizability of two-dimensional languages. We compare the three conditions and find that the new one extends the previous two yielding a greater accuracy.
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Joint Spectral Radius Theory for Automated Complexity Analysis of Rewrite Systems the natural numbers are known to induce polynomial upper bounds on the derivational complexity of (compatible) rewrite systems. Recently two different improvements were proposed, based on the theory of weighted automata and linear algebra. In this paper we strengthen and unify these improvements by
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From Grammars and Automata to Algebras and Coalgebrasr hardware model is constructor- or destructor-based, a . or a . model. A highly-structured system may involve both constructor- and destructor-based components. The two model classes and the respective ways of developing them and reasoning about them are dual to each other. Roughly said, algebras g
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Some Combinatorial Applications of Gröbner Basesns on .. To study these, one often considers .(.), the vanishing ideal of . in the polynomial ring .. Gröbner bases and standard monomials of .(.) appear to be useful in this context, leading to structural results on ...Here we survey some work of this type. At the end of the paper a new application
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Independence of Hyperlogarithms over Function Fields via Algebraic Combinatorics that the multiplier (i.e. the factor . in the differential equation . = .) has only singularities of first order (Fuchsian-type equations) and this implies that they freely span a space which contains no primitive. We give direct applications where we extend the property of linear independence to t
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