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The book contains a completely new presentation of classical results in the field of Lambda Calculus, together with new results. The text is unique in that it presents a new calculus (Parametric Lambda Calculus) which can be instantiated to obtain already known lambda-calculi. Some properties, which in the literature have been proved separately for different calculi, can be proved once for the Parametric one. The lambda calculi are presented from a Computer Science point of view, with a particular emphasis on their semantics, both operational and denotational.
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Informazioni sull?autore
Simona Ronchi Della Rocca: Full Professor of Foundations of Computer Science since 1987, Member of the Editorial Board of TOCL (ACM Transactions on Computational Logic), Member of the Organizing Committee of LICS (Logic in Computer Science), Member of the Accademy of Sciences of Torino
Luca Paolini: PhD student in Computer Science and Discrete Mathematics, Università di Genova and Université de la Mediterranée.
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Dalla quarta di copertina
The parametric lambda calculus is a metamodel for reasoning about various kinds of computations. Its syntactic definition is based on the notion of "sets of input values", and different lambda calculi can be obtained from it by instantiating such sets in suitable ways.
The parametric lambda calculus is used as a tool for presenting in a uniform way basic notions of programming languages, and for studying with a uniform approach some lambda calculi modeling different kinds of computations, such as call-by-name, both in its lazy and non-lazy versions, and call-by-value. The parametric presentation allows us both to prove in one step all the fundamental properties of different calculi, and to compare them with each other.
The book includes some classical results in the field of lambda calculi, but completely rephrased using the parametric approach, together with some new results. The lambda calculi are presented from a computer science viewpoint, with particular emphasis on their semantics, both operational and denotational.
This book is dedicated to researchers, and can be used as a textbook for masters or Ph.D. courses on the foundations of computer science.
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The Parametric Lambda Calculus: A Metamodel for Computation (Texts in Theoretical Computer Science. An EATCS Series)
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The Parametric Lambda Calculus: A Meta-Model for Computation
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Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2004
ISBN 10: 3540200320
ISBN 13: 9783540200321
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The Parametric Lambda Calculus : A Metamodel for Computation
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ISBN 10: 3540200320
ISBN 13: 9783540200321
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The Parametric Lambda Calculus
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Completely new presentation of classical results in the Lambda Calculus field together with some new resultsCompletely new presentation of classical results in the Lambda Calculus field together with some new resultsIncludes supplementa. Codice articolo 4884421
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The Parametric Lambda Calculus
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Springer Berlin Heidelberg Jul 2004, 2004
ISBN 10: 3540200320
ISBN 13: 9783540200321
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The A-calculus was invented by Church in the 1930s with the purpose of sup plying a logical foundation for logic and mathematics [25]. Its use by Kleene as a coding for computable functions makes it the first programming lan guage, in an abstract sense, exactly as the Thring machine can be considered the first computer machine [57]. The A-calculus has quite a simple syntax (with just three formation rules for terms) and a simple operational seman tics (with just one operation, substitution), and so it is a very basic setting for studying computation properties. The first contact between A-calculus and real programming languages was in the years 1956-1960, when McCarthy developed the LISP programming language, inspired from A-calculus, which is the first 'functional' program ming language, Le., where functions are first-dass citizens [66]. But the use of A-calculus as an abstract paradigm for programming languages started later as the work of three important scientists: Strachey, Landin and B6hm. 272 pp. Englisch. Codice articolo 9783540200321
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