THE FORMAL THEORETIC ANALYSIS OF STRONG EQUIVALENCE FOR ELEMENTAL PROGRAMS.

Abstract

The syntax and semantics is given for elemental programs, and the strong equivalence of these simple ALGOL-like flow-charts is shown to be undecidable. A formal theory is introduced for deriving statements of strong equivalence, and the completeness of this theory is obtained for various sub-cases. Several applications of the theory are discussed. Using a regular expression representation for elemental programs and an unorthodox semantics for these expressions, several strong equivalence detecting procedures are developed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 12, 1968
Accession Number
AD0672923

Entities

People

  • Donald M. Kaplan

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Linguistics
  • Semantics

Readers

  • Computer Science.
  • Mathematical Modeling and Probability Theory.