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Computable Models

Computable Models
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Raymond Turner
Springer Nature Singapore
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Artikel-Nr:
9781848820517
Veröffentl:
2009
Erscheinungsdatum:
10.03.2009
Seiten:
240
Autor:
Raymond Turner
Gewicht:
521 g
Format:
242x166x23 mm
Sprache:
Englisch
Beschreibung:

Computational models can be found everywhere in present day science and engineering. In providing a logical framework and foundation for the specification and design of specification languages, Raymond Turner uses this framework to introduce and study computable models. In doing so he presents the first systematic attempt to provide computational models with a logical foundation.

Computable models have wide-ranging applications from programming language semantics and specification languages, through to knowledge representation languages and formalism for natural language semantics. They are also implicit in computer modelling in many areas of physical and social science.

This detailed investigation into the logical foundations of specification and specification languages and their application to the definition of programming languages, coupled with a clear exposition of theories of data and computable models as mathematical notions will be welcomed by researchers and graduate students.

Computational models can be found everywhere in present day science and engineering. In providing a logical framework and foundation for the specification and design of specification languages, the author uses this framework to study computable models.
First book to explore the application of computable mathematical models to theoretical computer science and artificial intelligence e.g. the various areas of semantics, theories of formal ontologies and a computational approach to Montague semantics
What is a Computable Model?.- Typed Predicate Logic.- Data Types.- Definability.- Specification.- Functions.- Preconditions.- Natural Numbers.- Typed Set Theory.- Systems Modeling.- A Type of Types.- Schemata.- Separation Types.- Recursive Schemata.- Inductive Types.- Recursive Functions.- Schema Definitions.- Computable Ontology.- Classes.- Classes of Functions.- Computable Analysis.- Programming Language Specification.- Abstract Types.- Conclusion.

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