Computability in combinatory spaces : an algebraic generalization of abstract first order computability

Bibliographic Information

Computability in combinatory spaces : an algebraic generalization of abstract first order computability

by Dimiter G. Skordev

(Mathematics and its applications, . East European series ; v. 55)

Kluwer Academic Publishers, c1992

Other Title

Kombinatornye prostranstva i rekursivnostʹ v nikh

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Note

Rev. translation of: Kombinatorny postranstva i rekursivnostʹ v nikh. 1980

Includes bibliographical references (p. [301]-314) and indexes

Description and Table of Contents

Description

This volume provides an account of the current state of the theory of combinatory spaces and discusses various applications. Here the term "combinatory space" can be regarded as a system for functional programming and bears no close connection with combinatory logic. The main chapter is divided into three chapters. Chapter 1 deals with computational structures and computability; Chapter 2 considers combinatory spaces; and Chapter 3 embraces computability in iterative combinatory spaces. A number of appendices treats a survey of examples of combinatory spaces. All sections of the chapters contain exercises together with hints for solution where appropriate. For the reading of some parts of the book a knowledge of mathematical logic and recursive function theory would be desirable. The text is mainly aimed at researchers and specialists of mathematical logic and its applications, as well as theoretical computer scientists.

Table of Contents

  • Computational structures and computability on them
  • combinatory spaces
  • computability in iterative combinatory spaces. Appendix: A survey of examples of combinatory spaces.

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Details

  • NCID
    BA14357422
  • ISBN
    • 0792315766
  • LCCN
    91044535
  • Country Code
    ne
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    bul
  • Place of Publication
    Dordrecht ; Boston
  • Pages/Volumes
    xiv, 320 p.
  • Size
    23 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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