@article{paquet_continuous_2018,
series = {Proceedings of the {Thirty}-{Fourth} {Conference} on the {Mathematical} {Foundations} of {Programming} {Semantics} ({MFPS} {XXXIV})},
title = {Continuous {Probability} {Distributions} in {Concurrent} {Games}},
volume = {341},
issn = {1571-0661},
url = {http://www.sciencedirect.com/science/article/pii/S1571066118300975},
doi = {10/ggdmwv},
abstract = {We present a model of concurrent games in which strategies are probabilistic and support both discrete and continuous distributions. This is a generalisation of the probabilistic concurrent strategies of Winskel, based on event structures. We first introduce measurable event structures, discrete fibrations of event structures in which each fibre is turned into a measurable space. We then construct a bicategory of measurable games and measurable strategies based on measurable event structures, and add probability to measurable strategies using standard techniques of measure theory. We illustrate the model by giving semantics to an affine, higher-order, probabilistic language with a type of real numbers and continuous distributions.},
language = {en},
urldate = {2019-11-28},
journal = {Electronic Notes in Theoretical Computer Science},
author = {Paquet, Hugo and Winskel, Glynn},
month = dec,
year = {2018},
note = {ZSCC: 0000002},
keywords = {Game semantics, Interactive semantics, Probabilistic programming, Programming language theory},
pages = {321--344}
}
@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}
}