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arXiv · 1511.01272

Full abstraction for probabilistic PCF

Thomas Ehrhard·Michele Pagani·Christine Tasson
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Abstract

We present a probabilistic version of PCF, a well-known simply typed universal functional language. The type hierarchy is based on a single ground type of natural numbers. Even if the language is globally call-by-name, we allow a call-by-value evaluation for ground type arguments in order to provide the language with a suitable algorithmic expressiveness. We describe a denotational semantics based on probabilistic coherence spaces, a model of classical Linear Logic developed in previous works. We prove an adequacy and an equational full abstraction theorem showing that equality in the model coincides with a natural notion of observational equivalence.

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Thomas Ehrhard, Michele Pagani, Christine Tasson. 2015-11-04. Full abstraction for probabilistic PCF. https://arxiv.org/abs/1511.01272

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