TY - CONF
TI - Probabilistic coherence spaces are fully abstract for probabilistic PCF
AU - Ehrhard, Thomas
AU - Tasson, Christine
AU - Pagani, Michele
T2 - the 41st ACM SIGPLAN-SIGACT Symposium
AB - 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.
C1 - San Diego, California, USA
C3 - Proceedings of the 41st ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages - POPL '14
DA - 2014///
PY - 2014
DO - 10/ggdf9x
DP - Crossref
SP - 309
EP - 320
LA - en
PB - ACM Press
SN - 978-1-4503-2544-8
UR - http://dl.acm.org/citation.cfm?doid=2535838.2535865
Y2 - 2019/11/22/17:00:49
KW - Coherence spaces
KW - Probabilistic programming
KW - Programming language theory
KW - Semantics
ER -
TY - CONF
TI - The Computational Meaning of Probabilistic Coherence Spaces
AU - Ehrhard, Thomas
AU - Pagani, Michele
AU - Tasson, Christine
T2 - 2011 26th Annual IEEE Symposium on Logic in Computer Science (LICS 2011)
AB - 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.
C1 - Toronto, ON, Canada
C3 - 2011 IEEE 26th Annual Symposium on Logic in Computer Science
DA - 2011/06//
PY - 2011
DO - 10/cpv52n
DP - Crossref
SP - 87
EP - 96
LA - en
PB - IEEE
SN - 978-1-4577-0451-2
UR - http://ieeexplore.ieee.org/document/5970206/
Y2 - 2019/11/26/20:50:00
KW - Coherence spaces
KW - Denotational semantics
KW - Probabilistic programming
KW - Programming language theory
ER -