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http://arxiv.org/pdf/1905.0954...
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Computing Expected Runtimes for Constant Probability Programs

Authors: Jürgen Giesl; Peter Giesl; Marcel Hark;

Computing Expected Runtimes for Constant Probability Programs

Abstract

We introduce the class of constant probability (CP) programs and show that classical results from probability theory directly yield a simple decision procedure for (positive) almost sure termination of programs in this class. Moreover, asymptotically tight bounds on their expected runtime can always be computed easily. Based on this, we present an algorithm to infer the exact expected runtime of any CP program.

Full version (with proofs) of a paper published in the Proceedings of the 27th International Conference on Automated Deduction (CADE '19), Natal, Brazil, Lecture Notes in Computer Science 11716, pages 269-286, Springer-Verlag, 2019

Keywords

FOS: Computer and information sciences, Computer Science - Logic in Computer Science, Logic in Computer Science (cs.LO)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Top 10%
Average
Top 10%
Green