{"product_id":"9783319792170","title":"Directed Algebraic Topology and Concurrency","description":"\u003ch1\u003eDirected Algebraic Topology and Concurrency\u003c\/h1\u003e \u003ch2\u003eFajstrup, Lisbeth; Goubault, Eric; Haucourt, Emmanuel; Mimram, Samuel; Raussen, Martin\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis monograph presents an application of concepts and methods from algebraic topology to models of \u003ci\u003econcurrent processes\u003c\/i\u003e in computer science and their analysis.\u003c\/p\u003e\u003cp\u003eTaking 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 \u003ci\u003edirected algebraic topology\u003c\/i\u003e, which is driven by fundamental research interests as well as by applications, primarily in the static analysis of concurrent programs.\u003c\/p\u003e\u003cp\u003eThe 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 topologyhave to be extended to take privileged \u003ci\u003edirections\u003c\/i\u003e into account.\u003c\/p\u003e\u003cp\u003eThe target audience for this book consists of graduate students, researchers and practitioners in the field, mathematicians and computer scientists alike.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2018-04-19\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319792170\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-15398-8\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 167\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":47525411192972,"sku":"9783319792170","price":98.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319792170.jpg?v=1776025329","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319792170","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}