Directed Algebraic Topology and Concurrency (Springerbriefs by Lisbeth Fajstrup,Eric Goubault,Emmanuel Haucourt,Samuel PDF

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

This monograph offers an software of ideas and techniques from algebraic topology to versions of concurrent processes in desktop technology and their analysis.

Taking recognized discrete types for concurrent tactics in source administration as some degree of departure, the e-book is going directly to refine combinatorial and topological types. within the procedure, it develops instruments and invariants for the hot self-discipline directed algebraic topology, that's pushed via basic learn pursuits in addition to via functions, essentially within the static research of concurrent programs.

The kingdom area of a concurrent application is defined as a higher-dimensional house, the topology of which encodes the basic houses of the method. on the way to examine all attainable executions within the kingdom house, greater than “just” the topological houses need to be thought of: Execution paths have to appreciate a partial order given by the point movement. therefore, instruments and ideas from topology must be prolonged to take privileged directions into account.

The audience for this ebook contains 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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