Alternative Approaches to Computability

  • A. J. Kfoury
  • Robert N. Moll
  • Michael A. Arbib
Part of the Texts and Monographs in Computer Science book series (MCS)

Abstract

In the previous chapters we have developed a theory of computability based on while-programs. The legitimacy of this programming language approach has rested on the belief, embodied in Church’s Thesis, that the class of computable functions is model invariant: The while-program computable functions include the function classes that are definable by any other system, so long as that system matches our informal notion of algorithmic specification.

Keywords

Fermat Alan laSb 

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Copyright information

© Springer-Verlag New York Inc. 1982

Authors and Affiliations

  • A. J. Kfoury
    • 1
  • Robert N. Moll
    • 2
  • Michael A. Arbib
    • 2
  1. 1.Department of MathematicsBoston UniversityBostonUSA
  2. 2.Department of Computer and Information ScienceUniversity of MassachusettsAmherstUSA

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