@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{ehrhard_probabilistic_2014,
address = {San Diego, California, USA},
title = {Probabilistic coherence spaces are fully abstract for probabilistic {PCF}},
isbn = {978-1-4503-2544-8},
url = {http://dl.acm.org/citation.cfm?doid=2535838.2535865},
doi = {10/ggdf9x},
abstract = {Probabilistic coherence spaces (PCoh) yield a semantics of higherorder probabilistic computation, interpreting types as convex sets and programs as power series. We prove that the equality of interpretations in PCoh characterizes the operational indistinguishability of programs in PCF with a random primitive.},
language = {en},
urldate = {2019-11-22},
booktitle = {Proceedings of the 41st {ACM} {SIGPLAN}-{SIGACT} {Symposium} on {Principles} of {Programming} {Languages} - {POPL} '14},
publisher = {ACM Press},
author = {Ehrhard, Thomas and Tasson, Christine and Pagani, Michele},
year = {2014},
note = {ZSCC: 0000060},
keywords = {Coherence spaces, Probabilistic programming, Programming language theory, Semantics},
pages = {309--320}
}
@inproceedings{ehrhard_computational_2011,
address = {Toronto, ON, Canada},
title = {The {Computational} {Meaning} of {Probabilistic} {Coherence} {Spaces}},
isbn = {978-1-4577-0451-2},
url = {http://ieeexplore.ieee.org/document/5970206/},
doi = {10/cpv52n},
abstract = {We study the probabilistic coherent spaces — a denotational semantics interpreting programs by power series with non negative real coefﬁcients. We prove that this semantics is adequate for a probabilistic extension of the untyped λ-calculus: the probability that a term reduces to a head normal form is equal to its denotation computed on a suitable set of values. The result gives, in a probabilistic setting, a quantitative reﬁnement to the adequacy of Scott’s model for untyped λ-calculus.},
language = {en},
urldate = {2019-11-26},
booktitle = {2011 {IEEE} 26th {Annual} {Symposium} on {Logic} in {Computer} {Science}},
publisher = {IEEE},
author = {Ehrhard, Thomas and Pagani, Michele and Tasson, Christine},
month = jun,
year = {2011},
note = {ZSCC: 0000036},
keywords = {Coherence spaces, Denotational semantics, Probabilistic programming, Programming language theory},
pages = {87--96}
}
@inproceedings{jones_probabilistic_1989,
address = {Piscataway, NJ, USA},
title = {A {Probabilistic} {Powerdomain} of {Evaluations}},
isbn = {978-0-8186-1954-0},
url = {http://dl.acm.org/citation.cfm?id=77350.77370},
urldate = {2019-11-26},
booktitle = {Proceedings of the {Fourth} {Annual} {Symposium} on {Logic} in {Computer} {Science}},
publisher = {IEEE Press},
author = {Jones, C. and Plotkin, G.},
year = {1989},
note = {ZSCC: 0000389
event-place: Pacific Grove, California, USA},
keywords = {Denotational semantics, Powerdomains, Probabilistic programming, Programming language theory},
pages = {186--195}
}