{"department":[{"_id":"KrCh"},{"_id":"GradSch"}],"abstract":[{"lang":"eng","text":"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.\r\nWe 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."}],"publication_status":"published","date_published":"2021-01-01T00:00:00Z","month":"01","article_processing_charge":"No","supervisor":[{"orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee","first_name":"Krishnendu"}],"date_updated":"2023-09-22T10:03:21Z","tmp":{"legal_code_url":"https://creativecommons.org/publicdomain/zero/1.0/legalcode","name":"Creative Commons Public Domain Dedication (CC0 1.0)","image":"/images/cc_0.png","short":"CC0 (1.0)"},"license":"https://creativecommons.org/publicdomain/zero/1.0/","type":"dissertation","file":[{"checksum":"d1b9db3725aed34dadd81274aeb9426c","relation":"main_file","access_level":"open_access","creator":"akafshda","embargo":"2021-12-22","file_name":"Thesis-pdfa.pdf","content_type":"application/pdf","date_updated":"2021-12-23T23:30:04Z","date_created":"2020-12-22T20:08:44Z","file_size":5251507,"file_id":"8969"},{"file_id":"8970","date_created":"2020-12-22T20:08:50Z","file_size":10636756,"date_updated":"2021-03-04T23:30:04Z","content_type":"application/zip","creator":"akafshda","embargo_to":"open_access","access_level":"closed","file_name":"source.zip","checksum":"1661df7b393e6866d2460eba3c905130","relation":"source_file"}],"day":"01","degree_awarded":"PhD","alternative_title":["ISTA Thesis"],"title":"Parameterized and algebro-geometric advances in static program analysis","status":"public","related_material":{"record":[{"status":"public","id":"1386","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","id":"1437","status":"public"},{"relation":"part_of_dissertation","id":"311","status":"public"},{"relation":"part_of_dissertation","id":"6056","status":"public"},{"status":"public","id":"6380","relation":"part_of_dissertation"},{"status":"public","relation":"part_of_dissertation","id":"639"},{"status":"public","relation":"part_of_dissertation","id":"66"},{"status":"public","id":"6780","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","id":"6918","status":"public"},{"id":"7810","relation":"part_of_dissertation","status":"public"},{"relation":"part_of_dissertation","id":"6175","status":"public"},{"relation":"part_of_dissertation","id":"6378","status":"public"},{"status":"public","id":"6490","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","id":"7014","status":"public"},{"relation":"part_of_dissertation","id":"8089","status":"public"},{"status":"public","relation":"part_of_dissertation","id":"8728"},{"status":"public","relation":"part_of_dissertation","id":"7158"},{"status":"public","id":"5977","relation":"part_of_dissertation"},{"status":"public","id":"6009","relation":"part_of_dissertation"},{"status":"public","id":"6340","relation":"part_of_dissertation"},{"status":"public","relation":"part_of_dissertation","id":"949"}]},"publisher":"Institute of Science and Technology Austria","oa_version":"Published Version","oa":1,"date_created":"2020-12-10T12:17:07Z","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","_id":"8934","language":[{"iso":"eng"}],"citation":{"short":"A.K. Goharshady, Parameterized and Algebro-Geometric Advances in Static Program Analysis, Institute of Science and Technology Austria, 2021.","apa":"Goharshady, A. K. (2021). <i>Parameterized and algebro-geometric advances in static program analysis</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:8934\">https://doi.org/10.15479/AT:ISTA:8934</a>","ista":"Goharshady AK. 2021. Parameterized and algebro-geometric advances in static program analysis. Institute of Science and Technology Austria.","chicago":"Goharshady, Amir Kafshdar. “Parameterized and Algebro-Geometric Advances in Static Program Analysis.” Institute of Science and Technology Austria, 2021. <a href=\"https://doi.org/10.15479/AT:ISTA:8934\">https://doi.org/10.15479/AT:ISTA:8934</a>.","ama":"Goharshady AK. Parameterized and algebro-geometric advances in static program analysis. 2021. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:8934\">10.15479/AT:ISTA:8934</a>","ieee":"A. K. Goharshady, “Parameterized and algebro-geometric advances in static program analysis,” Institute of Science and Technology Austria, 2021.","mla":"Goharshady, Amir Kafshdar. <i>Parameterized and Algebro-Geometric Advances in Static Program Analysis</i>. Institute of Science and Technology Austria, 2021, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:8934\">10.15479/AT:ISTA:8934</a>."},"publication_identifier":{"issn":["2663-337X"]},"has_accepted_license":"1","author":[{"full_name":"Goharshady, Amir Kafshdar","id":"391365CE-F248-11E8-B48F-1D18A9856A87","first_name":"Amir Kafshdar","last_name":"Goharshady","orcid":"0000-0003-1702-6584"}],"doi":"10.15479/AT:ISTA:8934","page":"278","project":[{"name":"Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies","_id":"267066CE-B435-11E9-9278-68D0E5697425"},{"_id":"266EEEC0-B435-11E9-9278-68D0E5697425","name":"Quantitative Game-theoretic Analysis of Blockchain Applications and Smart Contracts"}],"ddc":["005"],"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).","file_date_updated":"2021-12-23T23:30:04Z","year":"2021"}