{"acknowledgement":"First, I am thankful to my advisor, Krishnendu Chatterjee, for offering me the opportunity to\r\nmaterialize my scientific curiosity in a remarkably wide range of interesting topics, as well as for his constant availability and continuous support throughout my doctoral studies. I have had the privilege of collaborating with, discussing and getting inspired by all members of my committee: Thomas A. Henzinger, Ulrich Schmid and Martin A. Nowak. The role of the above four people has been very instrumental both to the research carried out for this dissertation, and to the researcher I evolved to in the process.\r\nI have greatly enjoyed my numerous brainstorming sessions with Rasmus Ibsen-Jensen, many\r\nof which led to results on low-treewidth graphs presented here.  I thank Alex Kößler for our\r\ndiscussions on modeling and analyzing real-time scheduling algorithms, Yaron Velner for our\r\ncollaboration on the Quantitative Interprocedural Analysis framework, and Nishant Sinha for our initial discussions on partial order reduction techniques in stateless model checking. I also thank Jan Otop, Ben Adlam, Bernhard Kragl and Josef Tkadlec for our fruitful collaborations on\r\ntopics outside the scope of this dissertation, as well as the interns Prateesh Goyal, Amir Kafshdar Goharshady, Samarth Mishra, Bhavya Choudhary and Marek Chalupa, with whom I have shared my excitement on various research topics. Together with my collaborators, I thank officemates and members of the Chatterjee and Henzinger groups throughout the years, Thorsten Tarrach, Ventsi Chonev, Roopsha Samanta, Przemek Daca, Mirco Giacobbe, Tanja Petrov, Ashutosh\r\nGupta,  Arjun Radhakrishna,  Petr Novontý,  Christian Hilbe,  Jakob Ruess,  Martin Chmelik,\r\nCezara Dragoi, Johannes Reiter, Andrey Kupriyanov, Guy Avni, Sasha Rubin, Jessica Davies, Hongfei Fu, Thomas Ferrère, Pavol Cerný, Ali Sezgin, Jan Kretínský, Sergiy Bogomolov, Hui\r\nKong, Benjamin Aminof, Duc-Hiep Chu, and Damien Zufferey.  Besides collaborations and office spaces, with many of the above people I have been fortunate to share numerous whiteboard\r\ndiscussions, as well as memorable long walks and amicable meals accompanied by stimulating\r\nconversations. I am highly indebted to Elisabeth Hacker for her continuous assistance in matters\r\nthat often exceeded her official duties, and who made my integration in Austria a smooth process.","department":[{"_id":"KrCh"}],"article_processing_charge":"No","citation":{"ieee":"A. Pavlogiannis, “Algorithmic advances in program analysis and their applications,” Institute of Science and Technology Austria, 2017.","ama":"Pavlogiannis A. Algorithmic advances in program analysis and their applications. 2017. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:th_854\">10.15479/AT:ISTA:th_854</a>","mla":"Pavlogiannis, Andreas. <i>Algorithmic Advances in Program Analysis and Their Applications</i>. Institute of Science and Technology Austria, 2017, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:th_854\">10.15479/AT:ISTA:th_854</a>.","short":"A. Pavlogiannis, Algorithmic Advances in Program Analysis and Their Applications, Institute of Science and Technology Austria, 2017.","apa":"Pavlogiannis, A. (2017). <i>Algorithmic advances in program analysis and their applications</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:th_854\">https://doi.org/10.15479/AT:ISTA:th_854</a>","chicago":"Pavlogiannis, Andreas. “Algorithmic Advances in Program Analysis and Their Applications.” Institute of Science and Technology Austria, 2017. <a href=\"https://doi.org/10.15479/AT:ISTA:th_854\">https://doi.org/10.15479/AT:ISTA:th_854</a>.","ista":"Pavlogiannis A. 2017. Algorithmic advances in program analysis and their applications. Institute of Science and Technology Austria."},"month":"08","date_created":"2018-12-11T11:48:41Z","status":"public","project":[{"_id":"2584A770-B435-11E9-9278-68D0E5697425","grant_number":"P 23499-N23","name":"Modern Graph Algorithmic Techniques in Formal Verification","call_identifier":"FWF"},{"call_identifier":"FWF","name":"Rigorous Systems Engineering","_id":"25832EC2-B435-11E9-9278-68D0E5697425","grant_number":"S 11407_N23"},{"name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7","_id":"2581B60A-B435-11E9-9278-68D0E5697425","grant_number":"279307"}],"page":"418","ddc":["000"],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","oa":1,"file_date_updated":"2020-07-14T12:48:10Z","date_updated":"2023-09-07T12:01:59Z","has_accepted_license":"1","type":"dissertation","publication_identifier":{"issn":["2663-337X"]},"supervisor":[{"last_name":"Chatterjee","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X"}],"_id":"821","doi":"10.15479/AT:ISTA:th_854","author":[{"id":"49704004-F248-11E8-B48F-1D18A9856A87","last_name":"Pavlogiannis","orcid":"0000-0002-8943-0722","full_name":"Pavlogiannis, Andreas","first_name":"Andreas"}],"alternative_title":["ISTA Thesis"],"related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"1071"},{"relation":"part_of_dissertation","id":"1437","status":"public"},{"id":"1602","status":"public","relation":"part_of_dissertation"},{"id":"1604","status":"public","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","id":"1607","status":"public"},{"relation":"part_of_dissertation","status":"public","id":"1714"}]},"publication_status":"published","abstract":[{"lang":"eng","text":"This dissertation focuses on algorithmic aspects of program verification, and presents modeling and complexity advances on several problems related to the\r\nstatic analysis of programs, the stateless model checking of concurrent programs, and the competitive analysis of real-time scheduling algorithms.\r\nOur contributions can be broadly grouped into five categories.\r\n\r\nOur first contribution is a set of new algorithms and data structures for the quantitative and data-flow analysis of programs, based on the graph-theoretic notion of treewidth.\r\nIt has been observed that the control-flow graphs of typical programs have special structure, and are characterized as graphs of small treewidth.\r\nWe utilize this structural property to provide faster algorithms for the quantitative and data-flow analysis of recursive and concurrent programs.\r\nIn most cases we make an algebraic treatment of the considered problem,\r\nwhere several interesting analyses, such as the reachability, shortest path, and certain kind of data-flow analysis problems follow as special cases. \r\nWe exploit the constant-treewidth property to obtain algorithmic improvements for on-demand versions of the problems, \r\nand provide data structures with various tradeoffs between the resources spent in the preprocessing and querying phase.\r\nWe also improve on the algorithmic complexity of quantitative problems outside the algebraic path framework,\r\nnamely of the minimum mean-payoff, minimum ratio, and minimum initial credit for energy problems.\r\n\r\n\r\nOur second contribution is a set of algorithms for Dyck reachability with applications to data-dependence analysis and alias analysis.\r\nIn particular, we develop an optimal algorithm for Dyck reachability on bidirected graphs, which are ubiquitous in context-insensitive, field-sensitive points-to analysis.\r\nAdditionally, we develop an efficient algorithm for context-sensitive data-dependence analysis via Dyck reachability,\r\nwhere the task is to obtain analysis summaries of library code in the presence of callbacks.\r\nOur algorithm preprocesses libraries in almost linear time, after which the contribution of the library in the complexity of the client analysis is (i)~linear in the number of call sites and (ii)~only logarithmic in the size of the whole library, as opposed to linear in the size of the whole library.\r\nFinally, we prove that Dyck reachability is Boolean Matrix Multiplication-hard in general, and the hardness also holds for graphs of constant treewidth.\r\nThis hardness result strongly indicates that there exist no combinatorial algorithms for Dyck reachability with truly subcubic complexity.\r\n\r\n\r\nOur third contribution is the formalization and algorithmic treatment of the Quantitative Interprocedural Analysis framework.\r\nIn this framework, the transitions of a recursive program are annotated as good, bad or neutral, and receive a weight which measures\r\nthe magnitude of their respective effect.\r\nThe Quantitative Interprocedural Analysis problem asks to determine whether there exists an infinite run of the program where the long-run ratio of the bad weights over the good weights is above a given threshold.\r\nWe illustrate how several quantitative problems related to static analysis of recursive programs can be instantiated in this framework,\r\nand present some case studies to this direction.\r\n\r\n\r\nOur fourth contribution is a new dynamic partial-order reduction for the stateless model checking of concurrent programs. Traditional approaches rely on the standard Mazurkiewicz equivalence between  traces, by means of partitioning the trace space into equivalence classes, and attempting to explore a few representatives from each class.\r\nWe present a new dynamic partial-order reduction method  called the Data-centric Partial Order Reduction (DC-DPOR).\r\nOur algorithm is based on a new equivalence between traces, called the observation equivalence.\r\nDC-DPOR explores a coarser partitioning of the trace space than any exploration method based on the standard Mazurkiewicz equivalence.\r\nDepending on the program, the new partitioning can be even exponentially coarser.\r\nAdditionally, DC-DPOR spends only polynomial time in each explored class.\r\n\r\n\r\nOur fifth contribution is the use of automata and game-theoretic verification techniques in the competitive analysis and synthesis of real-time scheduling algorithms for firm-deadline tasks.\r\nOn the analysis side, we leverage automata on infinite words to compute the competitive ratio of real-time schedulers subject to various environmental constraints.\r\nOn the synthesis side, we introduce a new instance of two-player mean-payoff partial-information games, and show\r\nhow the synthesis of an optimal real-time scheduler can be reduced to computing winning strategies in this new type of games."}],"publisher":"Institute of Science and Technology Austria","year":"2017","ec_funded":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","image":"/image/cc_by_nd.png","short":"CC BY-ND (4.0)","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)"},"day":"09","degree_awarded":"PhD","date_published":"2017-08-09T00:00:00Z","license":"https://creativecommons.org/licenses/by-nd/4.0/","publist_id":"6828","file":[{"date_updated":"2020-07-14T12:48:10Z","file_id":"4900","creator":"system","checksum":"3a3ec003f6ee73f41f82a544d63dfc77","date_created":"2018-12-12T10:11:44Z","relation":"main_file","file_name":"IST-2017-854-v1+1_Pavlogiannis_Thesis_PubRep.pdf","access_level":"open_access","file_size":4103115,"content_type":"application/pdf"},{"content_type":"application/zip","file_size":14744374,"date_created":"2019-04-05T07:59:31Z","checksum":"bd2facc45ff8a2e20c5ed313c2ccaa83","access_level":"closed","file_name":"2017_thesis_Pavlogiannis.zip","relation":"source_file","file_id":"6201","creator":"dernst","date_updated":"2020-07-14T12:48:10Z"}],"pubrep_id":"854","language":[{"iso":"eng"}],"title":"Algorithmic advances in program analysis and their applications","oa_version":"Published Version"}