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arXiv · 1003.0107

A Concrete Representation of Observational Equivalence for PCF

Martin Churchill·James Laird·Guy McCusker
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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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Martin Churchill, James Laird, Guy McCusker. 2010-02-27. A Concrete Representation of Observational Equivalence for PCF. https://arxiv.org/abs/1003.0107

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