A Concrete Representation of Observational Equivalence for PCF

Published 27 Feb 2010 in cs.LO | (1003.0107v1)

Abstract: 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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