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SPLASH 2019
Sun 20 - Fri 25 October 2019 Athens, Greece
Wed 23 Oct 2019 11:45 - 12:07 at Olympia - Modular Verification Chair(s): Friedrich Steimann

In this work, we consider the almost-sure termination problem for probabilistic programs that asks whether a given probabilistic program terminates with probability 1. Scalable approaches for program analysis often rely on modularity as their theoretical basis. In non-probabilistic programs, the classical variant rule (V-rule) of Floyd-Hoare logic provides the foundation for modular analysis. Extension of this rule to almost-sure termination of probabilistic programs is quite tricky, and a probabilistic variant was proposed in [Fioriti and Hermanns 2015]. While the proposed probabilistic variant cautiously addresses the key issue of integrability, we show that the proposed modular rule is still not sound for almost-sure termination of probabilistic programs.

Besides establishing unsoundness of the previous rule, our contributions are as follows: First, we present a sound modular rule for almost-sure termination of probabilistic programs. Our approach is based on a novel notion of descent supermartingales. Second, for algorithmic approaches, we consider descent supermartingales that are linear and show that they can be synthesized in polynomial time. Finally, we present experimental results on a variety of benchmarks and several natural examples that model various types of nested while loops in probabilistic programs and demonstrate that our approach is able to efficiently prove their almost-sure termination property.

This program is tentative and subject to change.

Wed 23 Oct

splash-2019-oopsla
11:00 - 12:30: OOPSLA - Modular Verification at Olympia
Chair(s): Friedrich SteimannFernuni Hagen
splash-2019-oopsla11:00 - 11:22
Research paper
DOI Pre-print
splash-2019-oopsla11:22 - 11:45
Talk
Pavel PanchekhaUniversity of Washington, Michael D. ErnstUniversity of Washington, USA, Zachary TatlockUniversity of Washington, Shoaib KamilAdobe
splash-2019-oopsla11:45 - 12:07
Talk
Mingzhang HuangShanghai Jiao Tong University, Hongfei FuShanghai Jiao Tong University, Krishnendu ChatterjeeIST Austria, Amir Kafshdar GoharshadyIST Austria
splash-2019-oopsla12:07 - 12:30
Talk
Vytautas AstrauskasETH Zurich, Switzerland, Peter MüllerETH Zurich, Federico PoliETH Zurich, Switzerland, Alexander J. SummersETH Zurich
DOI Pre-print