Directed Algebraic Topology and Concurrency (Springerbriefs - download pdf or read online

By Lisbeth Fajstrup,Eric Goubault,Emmanuel Haucourt,Samuel Mimram,Martin Raussen

This monograph offers an program of innovations and techniques from algebraic topology to versions of concurrent processes in machine technology and their analysis.

Taking famous discrete types for concurrent strategies in source administration as some degree of departure, the booklet is going directly to refine combinatorial and topological types. within the strategy, it develops instruments and invariants for the recent self-discipline directed algebraic topology, that is pushed through basic study pursuits in addition to through purposes, essentially within the static research of concurrent programs.

The nation area of a concurrent software is defined as a higher-dimensional house, the topology of which encodes the basic homes of the approach. so one can examine all attainable executions within the country area, greater than “just” the topological houses must be thought of: Execution paths have to recognize a partial order given by the point movement. for this reason, instruments and ideas from topology must be prolonged to take privileged directions into account.

The audience for this publication includes graduate scholars, researchers and practitioners within the box, mathematicians and desktop scientists alike.

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Directed Algebraic Topology and Concurrency (Springerbriefs in Applied Sciences and Technology / Springer) by Lisbeth Fajstrup,Eric Goubault,Emmanuel Haucourt,Samuel Mimram,Martin Raussen

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Categories: Machine Theory