Abstract interpretation and application to logic programs
Journal of Logic Programming
The size-change principle for program termination
POPL '01 Proceedings of the 28th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
An abstract Monte-Carlo method for the analysis of probabilistic programs
POPL '01 Proceedings of the 28th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
POPL '77 Proceedings of the 4th ACM SIGACT-SIGPLAN symposium on Principles of programming languages
Abstract Interpretation of Probabilistic Semantics
SAS '00 Proceedings of the 7th International Symposium on Static Analysis
Static Analyses of the Precision of Floating-Point Operations
SAS '01 Proceedings of the 8th International Symposium on Static Analysis
Semantics of probabilistic programs
SFCS '79 Proceedings of the 20th Annual Symposium on Foundations of Computer Science
On Small Depth Threshold Circuits
SWAT '92 Proceedings of the Third Scandinavian Workshop on Algorithm Theory
Proving termination of probabilistic programs using patterns
CAV'12 Proceedings of the 24th international conference on Computer Aided Verification
Probabilistic termination of CHRiSM programs
LOPSTR'11 Proceedings of the 21st international conference on Logic-Based Program Synthesis and Transformation
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It is often useful to introduce probabilistic behavior in programs, either because of the use of internal random generators (probabilistic algorithms), either because of some external devices (networks, physical sensors) with known statistics of behavior. Previous works on probabilistic abstract interpretation have addressed safety properties, but somehow neglected probabilistic termination. In this paper, we propose a method to automatically prove the probabilistic termination of programs using exponential bounds on the tail of the distribution. We apply this method to an example and give some directions as to how to implement it. We also show that this method can also be applied to make unsound statistical methods on average running times sound.