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Directed Algebraic Topology and Concurrency / / by Lisbeth Fajstrup, Eric Goubault, Emmanuel Haucourt, Samuel Mimram, Martin Raussen



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Autore: Fajstrup Lisbeth Visualizza persona
Titolo: Directed Algebraic Topology and Concurrency / / by Lisbeth Fajstrup, Eric Goubault, Emmanuel Haucourt, Samuel Mimram, Martin Raussen Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Edizione: 1st ed. 2016.
Descrizione fisica: 1 online resource (171 p.)
Disciplina: 004
Soggetto topico: Computer science—Mathematics
Algebraic topology
Mathematical logic
Computational complexity
Computers
Computer mathematics
Math Applications in Computer Science
Algebraic Topology
Mathematical Logic and Formal Languages
Complexity
Computation by Abstract Devices
Mathematical Applications in Computer Science
Persona (resp. second.): GoubaultEric
HaucourtEmmanuel
MimramSamuel
RaussenMartin
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 1 Introduction -- 2 A toy language for concurrency -- 3 Truly concurrent models of programs with resources -- 4 Directed topological models of concurrency -- 5 Algorithmics on directed spaces.\\.
Sommario/riassunto: This monograph presents an application of concepts and methods from algebraic topology to models of concurrent processes in computer science and their analysis. Taking well-known discrete models for concurrent processes in resource management as a point of departure, the book goes on to refine combinatorial and topological models. In the process, it develops tools and invariants for the new discipline directed algebraic topology, which is driven by fundamental research interests as well as by applications, primarily in the static analysis of concurrent programs. The state space of a concurrent program is described as a higher-dimensional space, the topology of which encodes the essential properties of the system. In order to analyse all possible executions in the state space, more than “just” the topological properties have to be considered: Execution paths need to respect a partial order given by the time flow. As a result, tools and concepts from topology have to be extended to take privileged directions into account. The target audience for this book consists of graduate students, researchers and practitioners in the field, mathematicians and computer scientists alike.
Titolo autorizzato: Directed Algebraic Topology and Concurrency  Visualizza cluster
ISBN: 3-319-15398-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910254995903321
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