@inproceedings{castellan_concurrent_2018,
address = {Oxford, United Kingdom},
title = {The concurrent game semantics of {Probabilistic} {PCF}},
isbn = {978-1-4503-5583-4},
url = {http://dl.acm.org/citation.cfm?doid=3209108.3209187},
doi = {10/ggdjfz},
abstract = {We define a new games model of Probabilistic PCF (PPCF) by enriching thin concurrent games with symmetry, recently introduced by Castellan et al, with probability. This model supports two interpretations of PPCF, one sequential and one parallel. We make the case for this model by exploiting the causal structure of probabilistic concurrent strategies. First, we show that the strategies obtained from PPCF programs have a deadlock-free interaction, and therefore deduce that there is an interpretation-preserving functor from our games to the probabilistic relational model recently proved fully abstract by Ehrhard et al. It follows that our model is intensionally fully abstract. Finally, we propose a definition of probabilistic innocence and prove a finite definability result, leading to a second (independent) proof of full abstraction.},
language = {en},
urldate = {2019-11-26},
booktitle = {Proceedings of the 33rd {Annual} {ACM}/{IEEE} {Symposium} on {Logic} in {Computer} {Science} - {LICS} '18},
publisher = {ACM Press},
author = {Castellan, Simon and Clairambault, Pierre and Paquet, Hugo and Winskel, Glynn},
year = {2018},
note = {ZSCC: 0000018},
keywords = {Denotational semantics, Game semantics, Interactive semantics, Probabilistic programming, Programming language theory},
pages = {215--224}
}
@inproceedings{danos_probabilistic_2000,
title = {Probabilistic game semantics},
volume = {3},
isbn = {978-0-7695-0725-5},
doi = {10/b6k43s},
abstract = {A category of HO/N-style games and probabilistic strategies is developed where the possible choices of a strategy are quantified so as to give a measure of the likelihood of seeing a given play. A 2-sided die is shown to be universal in this category, in the sense that any strategy breaks down into a composition between some deterministic strategy and that die. The interpretative power of the category is then demonstrated by delineating a Cartesian closed subcategory which provides a fully abstract model of a probabilistic extension of Idealized Algol},
author = {Danos, Vincent and Harmer, Russell},
month = feb,
year = {2000},
note = {ZSCC: NoCitationData[s1]},
keywords = {Denotational semantics, Game semantics, Interactive semantics, Probabilistic programming, Programming language theory},
pages = {204--213}
}