A Concrete Representation of Observational Equivalence for PCF

Computer Science – Logic in Computer Science

Scientific paper

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A result on observational equivalence for PCF and innocent strategies, as presented at the Games for Logic and Programming Lan

Scientific paper

The full abstraction result for PCF using game semantics requires one to identify all innocent strategies that are innocently indistinguishable. This involves a quantification over all innocent tests, cf. quantification over all innocent contexts. Here we present a representation of innocent strategies that equates innocently indistinguishable ones, yielding a representation of PCF terms that equates precisely those terms that are observational equivalent.

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