Program Schemas with Equality

Abstract

The authors discuss the class of program schemas augmented with equality tests, that is, tests of equality between terms. In the first part of the paper the authors discuss and illustrate the power of equality tests. It turns out that the class of program schemas with equality is more powerful than the maximal classes of schemas suggested by other investigators. In the second part of the paper the authors discuss the decision problems of program schemas with equality. It is shown for example that while the decision problems normally considered for schemas (such as halting, divergence, equivalence, isomorphism and freedom) are solvable for Ianov schemas, they all become unsolvable if general equality tests are added. The authors suggest, however, limited equality tests which can be added to certain subclasses of program schemas while preserving their solvable properties.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1971
Accession Number
AD0740127

Entities

People

  • Ashok K. Chandra
  • Zohar Manna

Organizations

  • Stanford University

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Artificial Intelligence
  • Automata
  • Computations
  • Computer Languages
  • Computer Programming
  • Computer Programs
  • Computer Science
  • Computers
  • Formal Languages
  • Inclusions
  • Language
  • New York
  • Numbers
  • Specifications
  • Theorems
  • Translations

Readers

  • Mathematical Modeling and Probability Theory.