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x, 245 p. Publ. printed cardboard, gr.-8vo. *** FIRST EDITION, 'Lecture Notes in Computer Sciences, vol. 25'. - Fresh copy. (y1) isbn 3540071423.

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Taschenbuch. Zustand: Neu. Neuware -Basic concepts of category theory applicable to computation and control.- A control theorist looks at abstract nonsense.- A Categorist's view of automata and systems.- Categorical theory of tree processing.- Realization of multilinear and multidecomposable machines.- Fuzzy morphishms in automata theory.- Time-varying systems.- Addressed machines and duality.- Factorization of scott-style automata.- An abstract machine theory for formal language parsers.- Some structural properties of automata defined on groups.- Automata in additive categories with applications to stochastic linear automata.- The algebraic theory of recursive program schemes.- Realization is continuously universal.- Diagram-characterization of recursion.- Power and initial automata in pseudoclosed categories.- Semantics of computation.- Scattering theory and non linear systems.- Synthesis and complexity of logical systems.- Strukturelle verwandtschaften von Semi-Thue-Systemen.- Control of linear continuous-time systems defined over rings of distributions.- Cellular automata with additive local transition.- Automata in semimodule categories.- Representation of a class of nonlinear systems.- Duals of input/output maps.- An algebraic formulation of the Chomsky hierarchy.- On the recursive specification of data types.- Linear systems over rings of operators.- The tricotyledon theory of system design.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 260 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -In the past decade, category theory has widened its scope and now inter acts with many areas of mathematics. This book develops some of the interactions between universal algebra and category theory as well as some of the resulting applications. We begin with an exposition of equationally defineable classes from the point of view of 'algebraic theories,' but without the use of category theory. This serves to motivate the general treatment of algebraic theories in a category, which is the central concern of the book. (No category theory is presumed; rather, an independent treatment is provided by the second chap ter.) Applications abound throughout the text and exercises and in the final chapter in which we pursue problems originating in topological dynamics and in automata theory. This book is a natural outgrowth of the ideas of a small group of mathe maticians, many of whom were in residence at the Forschungsinstitut für Mathematik of the Eidgenössische Technische Hochschule in Zürich, Switzerland during the academic year 1966-67. It was in this stimulating atmosphere that the author wrote his doctoral dissertation. The 'Zürich School,' then, was Michael Barr, Jon Beck, John Gray, Bill Lawvere, Fred Linton, and Myles Tierney (who were there) and (at least) Harry Appelgate, Sammy Eilenberg, John Isbell, and Saunders Mac Lane (whose spiritual presence was tangible.) I am grateful to the National Science Foundation who provided support, under grants GJ 35759 and OCR 72-03733 A01, while I wrote this book.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 372 pp. Englisch.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Basic concepts of category theory applicable to computation and control.- A control theorist looks at abstract nonsense.- A Categorist's view of automata and systems.- Categorical theory of tree processing.- Realization of multilinear and multidecomposable machines.- Fuzzy morphishms in automata theory.- Time-varying systems.- Addressed machines and duality.- Factorization of scott-style automata.- An abstract machine theory for formal language parsers.- Some structural properties of automata defined on groups.- Automata in additive categories with applications to stochastic linear automata.- The algebraic theory of recursive program schemes.- Realization is continuously universal.- Diagram-characterization of recursion.- Power and initial automata in pseudoclosed categories.- Semantics of computation.- Scattering theory and non linear systems.- Synthesis and complexity of logical systems.- Strukturelle verwandtschaften von Semi-Thue-Systemen.- Control of linear continuous-time systems defined over rings of distributions.- Cellular automata with additive local transition.- Automata in semimodule categories.- Representation of a class of nonlinear systems.- Duals of input/output maps.- An algebraic formulation of the Chomsky hierarchy.- On the recursive specification of data types.- Linear systems over rings of operators.- The tricotyledon theory of system design.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - In the past decade, category theory has widened its scope and now inter acts with many areas of mathematics. This book develops some of the interactions between universal algebra and category theory as well as some of the resulting applications. We begin with an exposition of equationally defineable classes from the point of view of 'algebraic theories,' but without the use of category theory. This serves to motivate the general treatment of algebraic theories in a category, which is the central concern of the book. (No category theory is presumed; rather, an independent treatment is provided by the second chap ter.) Applications abound throughout the text and exercises and in the final chapter in which we pursue problems originating in topological dynamics and in automata theory. This book is a natural outgrowth of the ideas of a small group of mathe maticians, many of whom were in residence at the Forschungsinstitut für Mathematik of the Eidgenössische Technische Hochschule in Zürich, Switzerland during the academic year 1966-67. It was in this stimulating atmosphere that the author wrote his doctoral dissertation. The 'Zürich School,' then, was Michael Barr, Jon Beck, John Gray, Bill Lawvere, Fred Linton, and Myles Tierney (who were there) and (at least) Harry Appelgate, Sammy Eilenberg, John Isbell, and Saunders Mac Lane (whose spiritual presence was tangible.) I am grateful to the National Science Foundation who provided support, under grants GJ 35759 and OCR 72-03733 A01, while I wrote this book.

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Quelques annotations. [25277].

fascicoli. La rivista fu fondata nel 1911. 728 con una tavola fotografica p. annata 1916 in-8.