Parameterized and algebro-geometric advances in static program analysis

Goharshady AK. 2021. Parameterized and algebro-geometric advances in static program analysis. IST Austria.

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Thesis | PhD | Published | English
Department
Series Title
IST Austria Thesis
Abstract
In this thesis, we consider several of the most classical and fundamental problems in static analysis and formal verification, including invariant generation, reachability analysis, termination analysis of probabilistic programs, data-flow analysis, quantitative analysis of Markov chains and Markov decision processes, and the problem of data packing in cache management. We use techniques from parameterized complexity theory, polyhedral geometry, and real algebraic geometry to significantly improve the state-of-the-art, in terms of both scalability and completeness guarantees, for the mentioned problems. In some cases, our results are the first theoretical improvements for the respective problems in two or three decades.
Publishing Year
Date Published
2021-01-01
Acknowledgement
The research was partially supported by an IBM PhD fellowship, a Facebook PhD fellowship, and DOC fellowship #24956 of the Austrian Academy of Sciences (OeAW).
Page
278
ISSN
IST-REx-ID

Cite this

Goharshady AK. Parameterized and algebro-geometric advances in static program analysis. 2021. doi:10.15479/AT:ISTA:8934
Goharshady, A. K. (2021). Parameterized and algebro-geometric advances in static program analysis. IST Austria. https://doi.org/10.15479/AT:ISTA:8934
Goharshady, Amir Kafshdar. “Parameterized and Algebro-Geometric Advances in Static Program Analysis.” IST Austria, 2021. https://doi.org/10.15479/AT:ISTA:8934.
A. K. Goharshady, “Parameterized and algebro-geometric advances in static program analysis,” IST Austria, 2021.
Goharshady AK. 2021. Parameterized and algebro-geometric advances in static program analysis. IST Austria.
Goharshady, Amir Kafshdar. Parameterized and Algebro-Geometric Advances in Static Program Analysis. IST Austria, 2021, doi:10.15479/AT:ISTA:8934.
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