Games and Full Abstraction for a Functional Metalanguage with Recursive Types: Distinguished Dissertations
Autor Guy McCuskeren Limba Engleză Hardback – 21 iun 1998
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Specificații
ISBN-13: 9783540762553
ISBN-10: 3540762558
Pagini: 189
Greutate: 0.47 kg
Editura: Springer Verlag
Colecția Springer
Seriile Distinguished Dissertations, CSCW: Computer Supported Cooperative Work
Locul publicării:London, United Kingdom
ISBN-10: 3540762558
Pagini: 189
Greutate: 0.47 kg
Editura: Springer Verlag
Colecția Springer
Seriile Distinguished Dissertations, CSCW: Computer Supported Cooperative Work
Locul publicării:London, United Kingdom
Public țintă
ResearchCuprins
Introduction.- Full Abstraction.- Game Semantics.- Historical Perspective.- Contribution of This Book.- Prerequisites.- Preliminaries.- Enriched Category Theory.- Intrinsic Preorder.- Games.- Arenas, Views and Legal Positions.- Games and Strategies.- The Category.- Exponential.- A Cartesian Closed Category.- An Alternative Category.- The Extensional Category.- Sums.- Lifting.- Rational Categories and Recursive Types.- Rational Categories.- Recursive Types.- Invariant Relations.- Parameterized Invariant Relations.- IP-Categories.- Axioms for Rationality.- FPC and its Models.- The Language FPC.- Models of FPC.- Semantics of the Recursion Combinator.- Formal Approximation Relations.- Computational Adequacy.- Full Abstraction.- Conclusions.
Caracteristici
Contains the first treatment of recursive types using game semantics, and the first fully abstract model of a recursively typed language * The first exposition of game semantics for programming languages at such a high level of detail * The mathematics required for denotational semantics of recursive types is studied at a general, categorical level * A computational adequacy result is proved at this level