Titlebook: Mathematical Foundations of Computer Science 2000; 25th International S Mogens Nielsen,Branislav Rovan Conference proceedings 2000 Springer

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0302-9743 Overview: Includes supplementary material: 978-3-540-67901-1978-3-540-44612-5Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Axiomatizing Fully Complete Models for ML Polymorphic Typestization consists of two crucial steps. First, we axiomatize the fact that every relevant morphism in the model generates, under ., a possibly . typed Böhm tree. Then, we introduce an axiom which rules out infinite trees from the model. Finally, we discuss the necessity of the axioms.

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Simplifying Flow Networksat can be removed without changing the value of the maximum flow. We give a number of approaches which are increasingly more complex and more time-consuming, but in exchange they remove more and more edges from the network.

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Mogens Nielsen,Branislav RovanIncludes supplementary material:

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And/Or Hierarchies and Round Abstractionarallel composition operators is a natural setting for designing heterogeneous synchronous and asynchronous systems. The language we use is S., a visual language that backs up the popular and/or hierarchies of statecharts with a well defined compositional semantics.

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0–1 Laws for Fragments of Existential Second-Order Logic: A Surveywhich the first-order part belongs to a prefix class. We show that the classifications of prefix classes of first-order logic with equality according to the solvability of the finite satisfiability problem and according to the 0-1 law for the corresponding Σ.. fragments are identical, but the classifications are different without equality.

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On Algorithms and Interactionines as transducers of infinite streams of signals, we show that their interactive recognition and generation capabilities are identical. It is also shown that, in the given model, all interactively computable functions are limit-continuous.

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Equation Satisfiability and Program Satisfiability for Finite Monoidstable in polynomial time and discuss the relative complexity of the two problems. We also study the closure properties of classes for which these problems belong to P and the extent to which these fail to form algebraic varieties.