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Titlebook: Directed Algebraic Topology and Concurrency; Lisbeth Fajstrup,Eric Goubault,Martin Raussen Book 2016 Springer International Publishing Swi

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Directed Topological Models of Concurrency,a path in this space. To rensure that models reflect order properties, we are led to enrich the concept of a topological space so that it takes causality into account. We shall focus our attention on . paths, i.e., the ones respecting causality.
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Springer Lexikon Physiotherapiea path in this space. To rensure that models reflect order properties, we are led to enrich the concept of a topological space so that it takes causality into account. We shall focus our attention on . paths, i.e., the ones respecting causality.
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Springer Lexikon Physiotherapied loops can be handled up to a finite depth by unrolling the programs. We illustrate the wide variety of applications of the geometric point of view by presenting a compact way of representing regions in the geometric semantics, an algorithm for detecting deadlocks, and an algorithm for factoring programs into independent parallel processes.
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Springer Lexikon Physiotherapiehe component category is the quotient under a system of morphisms, the weak isomorphisms. Another construction, which gives an isomorphic fundamental category, is obtained by inverting the weak isomorphisms. An algorithm which determines a less “quotiented” category, precomponents, for simple programs is given, as well as several examples.
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