Computable Models [electronic resource] /
turner, raymond.author.
Computable models pervade present day science and engineering and are implicit in the specification of software systems. Raymond Turner first provides a logical framework for specification and the design of specification languages, then uses this framework to introduce and study computable models. In doing so he presents the first systematic attempt to provide computable models with a logical foundation. Computable models have wide-ranging applications from programming language semantics and the definition of specification languages, through to knowledge representation languages and formalisms for natural language semantics. They are also implicit in the computer modelling employed in many areas of science and engineering. This detailed investigation into the logical foundations of specification and its application to the construction of computable models should be of interest to a wide range of researchers including graduate students in mathematical logic and computer science.
Description based upon print version of record.
Includes bibliographical references and index.
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.
Computable models pervade present day science and engineering and are implicit in the specification of software systems. Raymond Turner first provides a logical framework for specification and the design of specification languages, then uses this framework to introduce and study computable models. In doing so he presents the first systematic attempt to provide computable models with a logical foundation. Computable models have wide-ranging applications from programming language semantics and the definition of specification languages, through to knowledge representation languages and formalisms for natural language semantics. They are also implicit in the computer modelling employed in many areas of science and engineering. This detailed investigation into the logical foundations of specification and its application to the construction of computable models should be of interest to a wide range of researchers including graduate students in mathematical logic and computer science.
Computers.
Computer logic.
Mathematical logic.
Artificial intelligence.
Natural language processing (Computer science).
Theory of Computation.
Computation by Abstract Devices.
Logics and Meanings of Programs.
Mathematical Logic and Formal Languages.
Artificial Intelligence.
Natural Language Processing (NLP).