An axiomatic basis for computer programming
Communications of the ACM
Termination of algorithms
A summary of progress toward proving program correctness
AFIPS '72 (Fall, part I) Proceedings of the December 5-7, 1972, fall joint computer conference, part I
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Language definitions by abstract interpreters are appropriate to the design and development of a language. Axiomatic definitions are more appropriate to proving program properties and verification of compilers. The proof methods of Manna and Ashcroft can be applied to an algorithmic definition in, e.g. the Vienna Definition Language to deduce theorems which constitute an axiomatic definition of precisely the same language. The process and techniques are explained, and illustrated on a simple language of assignment statements.