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What and Who

Algebra-based Analysis of Polynomial Probabilistic Programs

Laura Kovacs
TU Wien
SWS Distinguished Lecture Series

Laura Kovacs is a full professor in computer science at the TU Wien, leading the automated program reasoning (APRe) group of the Formal Methods in Systems Engineering Division. Her research focuses on the design and development of new theories, technologies, and tools for program analysis, with a particular focus on automated assertion generation, symbolic summation, computer algebra, and automated theorem proving. She is the co-developer of the Vampire theorem prover and a Wallenberg Academy Fellow of Sweden. Her research has also been awarded with a ERC Starting Grant 2014, an ERC Proof of Concept Grant 2018 and an ERC Consolidator Grant 2020.
AG 1, AG 2, AG 3, INET, AG 4, AG 5, D6, SWS, RG1, MMCI  
AG Audience
English

Date, Time and Location

Wednesday, 22 September 2021
10:00
60 Minutes
Virtual talk
Zoom
Saarbrücken

Abstract

We present fully automated approaches to safety and termination analysis of probabilistic while-programs whose guards and expressions are polynomial expressions over random variables and parametrised distributions. We combine methods from symbolic summation and statistics to derive invariants as valid properties over higher-order moments, such as expected values or variances, of program variables, synthesizing this way quantitative invariants of probabilistic program loops. We further extend our moments-based analysis to prove termination of considered probabilistic while-programs.

This is a joint work with Ezio Bartocci, Joost-Pieter Katoen, Marcel Moosbrugger and Miroslav Stankovic.

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Contact

Annika Meiser
+49 681 9303 9105
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Annika Meiser, 09/17/2021 09:58 -- Created document.