PROBABILISTIC CALL BY PUSH VALUE

Thomas Ehrhard (1) , Christine Tasson (1)

1 IRIF (UMR_8243) - Institut de Recherche en Informatique Fondamentale

We introduce a probabilistic extension of Levy's Call-By-Push-Value. This extension consists simply in adding a " flipping coin " boolean closed atomic expression. This language can be understood as a major generalization of Scott's PCF encompassing both call-by-name and call-by-value and featuring recursive (possibly lazy) data types. We interpret the language in the previously introduced denotational model of probabilistic coherence spaces, a categorical model of full classical Linear Logic, interpreting data types as coalgebras for the resource comonad. We prove adequacy and full abstraction, generalizing earlier results to a much more realistic and powerful programming language.

Domaines: Logique en informatique [cs.LO]

Thomas Ehrhard, Christine Tasson. PROBABILISTIC CALL BY PUSH VALUE. 2018. ⟨hal-01345847v3⟩