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  • Textbook
  • © 2009

Computable Models

Authors:

  • 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
  • Examines the development, mathematical investigation and application of axiomatic theories of data types
  • Includes supplementary material: sn.pub/extras

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Table of contents (24 chapters)

  1. Front Matter

    Pages 1-9
  2. What is a Computable Model?

    • Raymond Turner
    Pages 1-9
  3. Typed Predicate Logic

    • Raymond Turner
    Pages 1-14
  4. Data Types

    • Raymond Turner
    Pages 1-12
  5. Definability

    • Raymond Turner
    Pages 1-6
  6. Specification

    • Raymond Turner
    Pages 1-10
  7. Functions

    • Raymond Turner
    Pages 1-10
  8. Preconditions

    • Raymond Turner
    Pages 1-8
  9. Natural Numbers

    • Raymond Turner
    Pages 1-14
  10. Typed Set Theory

    • Raymond Turner
    Pages 1-18
  11. Systems Modeling

    • Raymond Turner
    Pages 1-9
  12. A Type of Types

    • Raymond Turner
    Pages 1-13
  13. Schemata

    • Raymond Turner
    Pages 1-15
  14. Separation Types

    • Raymond Turner
    Pages 1-11
  15. Recursive Schemata

    • Raymond Turner
    Pages 1-12
  16. Inductive Types

    • Raymond Turner
    Pages 1-9
  17. Recursive Functions

    • Raymond Turner
    Pages 1-7
  18. Schema Definitions

    • Raymond Turner
    Pages 1-10
  19. Computable Ontology

    • Raymond Turner
    Pages 1-5
  20. Classes

    • Raymond Turner
    Pages 1-5

About this book

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.

Reviews

From the reviews:

"Turner’s book … provides an articulate overview of the theory behind computational model design. … The book is the result of many years of research and teaching in the field and has all the attributes of a mature work, worthy of being included as a valuable reference for interested professionals. … a textbook for ‘graduate students and researchers in theoretical computer science, artificial intelligence, and mathematical logic.’ … there is no doubt that professionals in these areas will find the text valuable … ." (Stefan Robila, ACM Computing Reviews, November, 2009)

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access