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An algebraic definition of simulation between programsFebruary 1971
1971 Technical Report
Publisher:
  • Stanford University
  • 408 Panama Mall, Suite 217
  • Stanford
  • CA
  • United States
Published:01 February 1971
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Abstract

A simulation relation between programs is defined which is quasi-ordering. Mutual simulation is then an equivalence relation, and by dividing out by it we abstract from a program such details as how the sequencing is controlled and how data is represented. The equivalence classes are approxiamtions to the algorithms which are realized, or expressed, by their member programs. A technique is given and illustrated for proving simulation and equivalence of programs; there is an analogy with Floyd''s technique for proving correctness of programs. Finally, necessary and sufficient conditions for simulation are given.

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Contributors
  • University of Cambridge

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