Celebrating Tony Hoare's mark on computer science

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On the theoretical side, he was concerned about the wealth of different approaches to describing programming languages, including two seminal contributions: his own, with axiomatic semantics (“Hoare Logic”); and the work originated by Dana Scott and Christopher Strachey on denotational semantics, for which he had considerable respect. The first “talks about” programs, expressing their properties; the second one “defines” programs as fixpoints of functions on specific spaces. Anyone who has looked at both (or their combination in approaches such as the Cousots’ abstract interpretation [31]) has experienced the intuition that there must be a way to integrate them. Such is the goal of Hoare’s work, with He Jifeng, on “Unifying Theories of Programming” [32]. While it has been influential, this work, I think (in the spirit of this note, which is admiring but not hagiographic) that it has not truly succeeded in its unification goal; something more fundamental remain needed to explain programming.

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