TY - GEN
T1 - Probabilistic abstract interpretation
AU - Cousot, Patrick
AU - Monerau, Michael
PY - 2012
Y1 - 2012
N2 - Abstract interpretation has been widely used for verifying properties of computer systems. Here, we present a way to extend this framework to the case of probabilistic systems. The probabilistic abstraction framework that we propose allows us to systematically lift any classical analysis or verification method to the probabilistic setting by separating in the program semantics the probabilistic behavior from the (non-)deterministic behavior. This separation provides new insights for designing novel probabilistic static analyses and verification methods. We define the concrete probabilistic semantics and propose different ways to abstract them. We provide examples illustrating the expressiveness and effectiveness of our approach.
AB - Abstract interpretation has been widely used for verifying properties of computer systems. Here, we present a way to extend this framework to the case of probabilistic systems. The probabilistic abstraction framework that we propose allows us to systematically lift any classical analysis or verification method to the probabilistic setting by separating in the program semantics the probabilistic behavior from the (non-)deterministic behavior. This separation provides new insights for designing novel probabilistic static analyses and verification methods. We define the concrete probabilistic semantics and propose different ways to abstract them. We provide examples illustrating the expressiveness and effectiveness of our approach.
UR - http://www.scopus.com/inward/record.url?scp=84859141593&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84859141593&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-28869-2_9
DO - 10.1007/978-3-642-28869-2_9
M3 - Conference contribution
AN - SCOPUS:84859141593
SN - 9783642288685
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 169
EP - 193
BT - Programming Languages and Systems - 21st European Symposium on Programming, ESOP 2012, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2012, Proceedings
T2 - 21st European Symposium on Programming, ESOP 2012, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2012
Y2 - 24 March 2012 through 1 April 2012
ER -