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Record Nr. |
UNINA9910150171003321 |
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Autore |
Jacobs Bart |
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Titolo |
Introduction to coalgebra : towards mathematics of states and observation / / Bart Jacobs [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2017 |
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ISBN |
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1-316-83244-9 |
1-316-83550-2 |
1-316-83601-0 |
1-316-83652-5 |
1-316-82318-0 |
1-316-83703-3 |
1-316-83856-0 |
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Descrizione fisica |
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1 online resource (xvi, 477 pages) : digital, PDF file(s) |
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Collana |
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Cambridge tracts in theoretical computer science ; ; 59 |
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Disciplina |
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Soggetti |
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Associative algebras |
Universal enveloping algebras |
Algebra, Universal |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 10 Jan 2017). |
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Nota di bibliografia |
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Includes bibliographical references and indexes. |
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Sommario/riassunto |
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The area of coalgebra has emerged within theoretical computer science with a unifying claim: to be the mathematics of computational dynamics. It combines ideas from the theory of dynamical systems and from the theory of state-based computation. Although still in its infancy, it is an active area of research that generates wide interest. Written by one of the founders of the field, this book acts as the first mature and accessible introduction to coalgebra. It provides clear mathematical explanations, with many examples and exercises involving deterministic and non-deterministic automata, transition systems, streams, Markov chains and weighted automata. The theory is expressed in the language of category theory, which provides the right abstraction to make the similarity and duality between algebra and coalgebra explicit, and which the reader is introduced to in a hands-on |
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