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arxiv: 1003.0107 · v1 · submitted 2010-02-27 · 💻 cs.LO

A Concrete Representation of Observational Equivalence for PCF

classification 💻 cs.LO
keywords innocentrepresentationequatesindistinguishableinnocentlyobservationalquantificationstrategies
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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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