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  • 1. Aarts, Fides
    et al.
    Jonsson, Bengt
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Uijen, Johan
    Generating Models of Infinite-State Communication Protocols Using Regular Inference with Abstraction2010In: Testing Software and Systems: ICTSS 2010, Berlin: Springer-Verlag , 2010, p. 188-204Conference paper (Refereed)
  • 2.
    Abdulla, Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Delzanno, Giorgio
    Henda, Ben
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Rezine, Ahmed
    Monotonic Abstraction: on Efficient Verification of Parameterized Systems2009In: International Journal of Foundations of Computer Science, ISSN 0129-0541, Vol. 20, no 5, p. 779-801Article in journal (Refereed)
    Abstract [en]

    We introduce the simple and efficient method of monotonic abstraction to prove safety properties for parameterized systems with linear topologies. A process in the system is a finite-state automaton, where the transitions are guarded by both local and global conditions. Processes may communicate via broadcast, rendez-vous and shared variables over finite domains. The method of monotonic abstraction derives an over-approximation of the induced transition system that allows the use of a simple class of regular expressions as a symbolic representation. Compared to traditional regular model checking methods, the analysis does not require the manipulation of transducers, and hence its simplicity and efficiency. We have implemented a prototype that works well on several mutual exclusion algorithms and cache coherence protocols

  • 3.
    Abdulla, Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Delzanno, Giorgio
    Rezine, Ahmed
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Approximated Context-Sensitive Analysis for Parameterized Verification2009In: Formal Techniques for Distributed Systems: Joint 11th IFIP WG 6.1 International Conference FMOODS 2009 and 29th IFIP WG 6.1 International Conference FORTE 2009, Lisboa, Portugal, June 9-12, 2009. Proceedings / [ed] David Lee, Antónia Lopes and Arnd Poetzsch-Heffter, 2009, Vol. 5522, p. 41-56Conference paper (Other academic)
  • 4.
    Abdulla, Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Delzanno, Giorgio
    Rezine, Ahmed
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Approximated parameterized verification of infinite-state processes with global conditions2009In: Formal methods in system design, ISSN 0925-9856, E-ISSN 1572-8102, Vol. 34, no 2, p. 126-156Article in journal (Refereed)
  • 5.
    Abdulla, Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Delzanno, Giorgio
    Rezine, Ahmed
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Automatic Verification of Directory-Based Consistency Protocols2009In: Reachability Problems: 3rd International Workshop, RP 2009, Palaiseau, France, September 23-25, 2009. Proceedings / [ed] Olivier Bournez and Igor Potapov, 2009, Vol. 5797, p. 36-50Conference paper (Other academic)
  • 6.
    Abdulla, Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Delzanno, Giorgio
    Rezine, Ahmed
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Monotonic Abstraction in Parameterized Verification2008In: Electronical Notes in Theoretical Computer Science, ISSN 1571-0661, E-ISSN 1571-0661, Vol. 223, p. 3-14Article in journal (Refereed)
  • 7.
    Abdulla, P.A
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Bjesse, P
    Een, N
    Symbolic Reachability Analysis Based on SAT Solvers2000In: Proc. TACAS'00, 6th Int. Conf. on Tools and Algorithms for the Construction and Analysis of Systems, 2000Conference paper (Refereed)
  • 8.
    Abdulla, PA
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology, Computer Systems. DEPARTMENT OF COMPUTER SYSTEMS.
    Boasson, L
    Bouajjani, A
    Effective Lossy Queue Languages.2001In: ICALP'2001, 28th Int. Colloquium on Automata, Languages and Programmming., 2001Conference paper (Refereed)
  • 9.
    Abdulla, PA
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Jonsson, B
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Verifying programs with unreliable channels1996In: Information and Computation, ISSN 0890-5401, Vol. 127, no 2, p. 91-101Article in journal (Refereed)
    Abstract [en]

    We consider the verification of a particular class of infinite-state systems, namely systems consisting of finite-state processes that communicate via unbounded lossy FIFO channels. This class is able to model, e.g., link protocols such as the Alternating

  • 10.
    Abdulla, Parosh
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Aronis, Stavros
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computing Science.
    Jonsson, Bengt
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Sagonas, Konstantinos
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computing Science.
    Optimal dynamic partial order reduction2014In: Proc. 41st ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, New York: ACM Press, 2014, p. 373-384Conference paper (Refereed)
    Abstract [en]

    Stateless model checking is a powerful technique for program verification, which however suffers from an exponential growth in the number of explored executions. A successful technique for reducing this number, while still maintaining complete coverage, is Dynamic Partial Order Reduction (DPOR). We present a new DPOR algorithm, which is the first to be provably optimal in that it always explores the minimal number of executions. It is based on a novel class of sets, called source sets, which replace the role of persistent sets in previous algorithms. First, we show how to modify an existing DPOR algorithm to work with source sets, resulting in an efficient and simple to implement algorithm. Second, we extend this algorithm with a novel mechanism, called wakeup trees, that allows to achieve optimality. We have implemented both algorithms in a stateless model checking tool for Erlang programs. Experiments show that source sets significantly increase the performance and that wakeup trees incur only a small overhead in both time and space.

  • 11.
    Abdulla, Parosh Aziz
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Forcing monotonicity in parameterized verification: From multisets to words2010In: SOFSEM 2010: Theory and Practice of Computer Science, Berlin: Springer-Verlag , 2010, p. 1-15Conference paper (Refereed)
  • 12.
    Abdulla, Parosh Aziz
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Regular model checking2012In: International Journal on Software Tools for Technology Transfer, ISSN 1433-2779, E-ISSN 1433-2787, Vol. 14, no 2, p. 109-118Article in journal (Refereed)
  • 13.
    Abdulla, Parosh Aziz
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Well (and better) quasi-ordered transition systems2010In: Bulletin of Symbolic Logic, ISSN 1079-8986, E-ISSN 1943-5894, Vol. 16, no 4, p. 457-515Article in journal (Refereed)
    Abstract [en]

    In this paper, we give a step by step introduction to the theory of well quasi-ordered transition systems. The framework combines two concepts, namely (i) transition systems which are monotonic wrt. a well-quasi ordering; and (ii) a scheme for symbolic backward reachability analysis. We describe several models with infinite-state spaces, which can be analyzed within the framework, e.g., Petri nets, lossy channel systems, timed automata, timed Petri nets, and multiset rewriting systems. We will also present better quasi-ordered transition systems which allow the design of efficient symbolic representations of infinite sets of states.

  • 14.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Cederberg, Jonathan
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Analysis of message passing programs using SMT-solvers2013In: Automated Technology for Verification and Analysis: ATVA 2013, Springer Berlin/Heidelberg, 2013, p. 272-286Conference paper (Refereed)
  • 15.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Cederberg, Jonathan
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Timed lossy channel systems2012In: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science: FSTTCS 2012, Dagstuhl, Germany: Leibniz-Zentrum für Informatik , 2012, p. 374-386Conference paper (Refereed)
  • 16.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Chen, Yu-Fang
    Institute of Information Science, Academia Sinica .
    Holik, Lukas
    Brno University.
    Rezine, Ahmed
    Linköping University.
    Rümmer, Philipp
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    String Constraints for Verification2014In: Computer Aided Verification - 26th International Conference, {CAV} 2014, Held as Part of the Vienna Summer of Logic, {VSL} 2014, Vienna, Austria, July 18-22, 2014. Proceedings, Springer, 2014, p. 150-166Conference paper (Refereed)
    Abstract [en]

    We present a decision procedure for a logic that combines (i) word equations over string variables denoting words of arbitrary lengths, together with (ii) constraints on the length of words, and on (iii) the regular languages to which words belong. Decidability of this general logic is still open. Our procedure is sound for the general logic, and a decision procedure for a particularly rich fragment that restricts the form in which word equations are written. In contrast to many existing procedures, our method does not make assumptions about the maximum length of words. We have developed a prototypical implementation of our decision procedure, and integrated it into a CEGAR-based model checker for the analysis of programs encoded as Horn clauses. Our tool is able to automatically establish the correctness of several programs that are beyond the reach of existing methods.

  • 17.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Chen, Yu-Fang
    Leonardsson, Carl
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Rezine, Ahmed
    Automatic fence insertion in integer programs via predicate abstraction2012In: Static Analysis, Berlin: Springer-Verlag , 2012, p. 164-180Conference paper (Refereed)
  • 18.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Chen, Yu-Fang
    Leonardsson, Carl
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Rezine, Ahmed
    Counter-Example Guided Fence Insertion under TSO2012In: Tools and Algorithms for the Construction and Analysis of Systems, Berlin: Springer-Verlag , 2012, p. 204-219Conference paper (Refereed)
    Download full text (pdf)
    fulltext
  • 19.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Chen, Yu-Fang
    Academia Sinica.
    Leonardsson, Carl
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Rezine, Ahmed
    Linköping University.
    MEMORAX, a Precise and Sound Tool for Automatic Fence Insertion under TSO2013In: Tools and Algorithms for the Construction and Analysis of Systems, Springer Berlin/Heidelberg, 2013, p. 530-536Conference paper (Refereed)
    Download full text (pdf)
    memorax2013.pdf
  • 20.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Delzanno, Giorgio
    Podelski, Andreas
    Push-down automata with gap-order constraints2013In: Fundamentals of Software Engineering: FSEN 2013, Springer Berlin/Heidelberg, 2013, p. 199-216Conference paper (Refereed)
  • 21.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Hofman, Piotr
    Mayr, Richard
    Kumar, K. Narayan
    Chennai Mathematical Institute, Chennai, India.
    Totzke, Patrick
    Infinite-state energy games2014In: Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), CSL-LICS '14, Vienna, Austria, July 14 - 18, 2014, New York: ACM Press, 2014Conference paper (Refereed)
    Abstract [en]

    Energy games are a well-studied class of 2-player turn-based games on a finite graph where transitions are labeled with integer vectors which represent changes in a multidimensional resource (the energy). One player tries to keep the cumulative changes non-negative in every component while the other tries to frustrate this.

    We consider generalized energy games played on infinite game graphs induced by pushdown automata (modelling recursion) or their subclass of one-counter automata.

    Our main result is that energy games are decidable in the case where the game graph is induced by a one-counter automaton and the energy is one-dimensional. On the other hand, every further generalization is undecidable: Energy games on one-counter automata with a 2-dimensional energy are undecidable, and energy games on pushdown automata are undecidable even if the energy is one-dimensional. Furthermore, we show that energy games and simulation games are inter-reducible, and thus we additionally obtain several new (un)decidability results for the problem of checking simulation preorder between pushdown automata and vector addition systems.

  • 22.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Kara, Ahmet
    Rezine, Othmane
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Verification of Dynamic Register Automata2014In: Leibniz International Proceedings in Informatics: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2014), 2014Conference paper (Refereed)
    Abstract [en]

    We consider the verification problem for Dynamic Register Automata (Dra). Dra extend classical register automata by process creation. In this setting, each process is equipped with a finite number of registers in which the process IDs of other processes can be stored. A process can communicate with processes whose IDs are stored in its registers and can send them the content of its registers. The state reachability problem asks whether a Dra reaches a configuration where at least one process is in an error state. We first show that this problem is in general undecidable. This result holds even when we restrict the analysis to configurations where the maximal length of the simple paths in their underlying (un)directed communication graphs are bounded by some constant. Then we introduce the model of degenerative Dra which allows non-deterministic reset of the registers. We prove that for every given Dra, its corresponding degenerative one has the same set of reachable states. While the state reachability of a degenerative Dra remains undecidable, we show that the problem becomes decidable with nonprimitive-recursive complexity when we restrict the analysis to strongly bounded configurations, i.e. configurations whose underlying undirected graphs have bounded simple paths. Finally, we consider the class of strongly safe Dra, where all the reachable configurations are assumed to be strongly bounded. We show that for strongly safe Dra, the state reachability problem becomes decidable. 

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    fulltext
  • 23.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Rezine, Othmane
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Verification of Directed Acyclic Ad Hoc Networks2013In: Formal Techniques for Distributed Systems: FORTE 2013, Springer Berlin/Heidelberg, 2013, p. 193-208Conference paper (Refereed)
    Download full text (pdf)
    fulltext
  • 24.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Rezine, Othmane
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Stenman, Jari
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Budget-bounded model-checking pushdown systems2014In: Formal methods in system design, ISSN 0925-9856, E-ISSN 1572-8102, Vol. 45, no 2, p. 273-301Article in journal (Refereed)
    Abstract [en]

    We address the verification problem for concurrent programs modeled as multi-pushdown systems (MPDS). In general, MPDS are Turing powerful and hence come along with undecidability of all basic decision problems. Because of this, several subclasses of MPDS have been proposed and studied in the literature (Atig et al. in LNCS, Springer, Berlin, 2005; La Torre et al. in LICS, IEEE, 2007; Lange and Lei in Inf Didact 8, 2009; Qadeer and Rehof in TACAS, LNCS, Springer, Berlin, 2005). In this paper, we propose the class of bounded-budget MPDS, which are restricted in the sense that each stack can perform an unbounded number of context switches only if its depth is below a given bound, and a bounded number of context switches otherwise. We show that the reachability problem for this subclass is Pspace-complete and that LTL-model-checking is Exptime-complete. Furthermore, we propose a code-to-code translation that inputs a concurrent program and produces a sequential program such that running under the budget-bounded restriction yields the same set of reachable states as running . Moreover, detecting (fair) non-terminating executions in can be reduced to LTL-Model-Checking of . By leveraging standard sequential analysis tools, we have implemented a prototype tool and applied it on a set of benchmarks, showing the feasibility of our translation.

  • 25.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Stenman, Jari
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Adding time to pushdown automata2012In: Quantities in Formal Methods: QFM 2012, 2012, p. 1-16Conference paper (Refereed)
  • 26.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Stenman, Jari
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Computing optimal reachability costs in priced dense-timed pushdown automata2014In: Language and Automata Theory and Applications: LATA 2014, Springer Berlin/Heidelberg, 2014, p. 62-75Conference paper (Refereed)
  • 27.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Stenman, Jari
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Dense-Timed Pushdown Automata2012In: Proc. 27th ACM/IEEE Symposium on Logic in Computer Science, IEEE Computer Society, 2012, p. 35-44Conference paper (Refereed)
    Abstract [en]

    We propose a model that captures the behavior of real-time recursive systems. To that end, we introduce dense-timed pushdown automata that extend the classical models of pushdown automata and timed automata, in the sense that the automaton operates on a finite set of real-valued clocks, and each symbol in the stack is equipped with a real-valued clock representing its "age". The model induces a transition system that is infinite in two dimensions, namely it gives rise to a stack with an unbounded number of symbols each of which with a real-valued clock. The main contribution of the paper is an EXPTIME-complete algorithm for solving the reachability problem for dense-timed pushdown automata.

  • 28.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Stenman, Jari
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    The minimal cost reachability problem in priced timed pushdown systems2012In: Language and Automata Theory and Applications: 6th International Conference, LATA 2012, A Coruña, Spain, March 5-9, 2012, Berlin: Springer-Verlag , 2012, p. 58-69Conference paper (Refereed)
  • 29.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Stenman, Jari
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Zenoness for Timed Pushdown Automata2014In: Proceedings 15th International Workshop on Verification of Infinite-State Systems, {INFINITY} 2013, Hanoi, Vietnam, 14th October 2013., 2014, p. -47Conference paper (Refereed)
    Abstract [en]

    Timed pushdown automata are pushdown automata extended with a finite set of real-valued clocks. Additionaly, each symbol in the stack is equipped with a value representing its age. The enabledness of a transition may depend on the values of the clocks and the age of the topmost symbol. Therefore, dense-timed pushdown automata subsume both pushdown automata and timed automata. We have previously shown that the reachability problem for this model is decidable. In this paper, we study the zenoness problem and show that it is EXPTIME-complete.

  • 30.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Atig, Mohamed Faouzi
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Stenman, Jari
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Rezine, Othmane
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Multi-Pushdown Systems with Budgets2012In: Formal Methods in Computer-Aided Design, 2012, p. 24-33Conference paper (Refereed)
  • 31.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Ben Henda, Noomene
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    de Alfaro, Luca
    Mayr, Richard
    Sandberg, Sven
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Stochastic games with lossy channels2008In: Foundations of Software Science and Computational Structures: Proceedings / [ed] Amadio R, Berlin: Springer-Verlag , 2008, p. 35-49Conference paper (Refereed)
    Abstract [en]

    We consider turn-based stochastic games on infinite graphs induced by game probabilistic lossy channel systems (GPLCS), the game version of probabilistic lossy channel systems (PLCS). We study games with Buchi (repeated reachability) objectives and almost-sure winning conditions. These games are pure memoryless determined and, under the assumption that the target set is regular, a symbolic representation of the set of winning states for each player can be effectively constructed. Thus, turn-based stochastic games on GPLCS are decidable. This generalizes the decidability result for PLCS-induced Markov decision processes in [10].

  • 32.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Ben Henda, Noomene
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Delzanno, Giorgio
    Haziza, Frédéric
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Rezine, Ahmed
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Parameterized tree systems2008In: Formal Techniques for Networked and Distributed Systems: FORTE 2008 / [ed] Suzuki K, Berlin: Springer-Verlag , 2008, p. 69-83Conference paper (Refereed)
    Abstract [en]

    Several recent works have considered parameterized verification, i.e. automatic verification of systems consisting of an arbitrary number of finite-state processes organized in a linear array. The aim of this paper is to extend these works by giving a simple and efficient method to prove safety properties for systems with tree-like architectures. A process in the system is a finite-state automaton and a transition is performed jointly by a process and its parent and children processes. The method derives an over-approximation of the induced transition system, which allows the use of finite trees as symbolic representations of infinite sets of configurations. Compared to traditional methods for parameterized verification of systems with tree topologies, our method does not require the manipulation of tree transducers, hence its simplicity and efficiency. We have implemented a prototype which works well on several nontrivial tree-based protocols.

  • 33.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Ben Henda, Noomene
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Delzanno, Giorgio
    Rezine, Ahmed
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Handling parameterized systems with non-atomic global conditions2008In: Verification, Model Checking, and Abstract Interpretation / [ed] Logozzo F; Peled DA; Zuck LD, Berlin: Springer-Verlag , 2008, p. 22-36Conference paper (Refereed)
    Abstract [en]

    We consider verification of safety properties for parameterized systems with linear topologies. A process in the system is an extended automaton, where the transitions are guarded by both local and global conditions. The global conditions are non-atomic, i.e., a process allows arbitrary interleavings with other transitions white checking the states of all (or some) of the other processes. We translate the problem into model checking of infinite transition systems where each configuration is a labeled finite graph. We derive an over-approximation of the induced transition system, which leads to a symbolic scheme for analyzing safety properties. We have implemented a prototype and run it on several nontrivial case studies, namely non-atomic versions of Burn's protocol, Dijkstra's protocol, the Bakery algorithm, Lamport's distributed mutual exclusion protocol, and a two-phase commit protocol used for handling transactions in distributed systems. As far as we know, these protocols have not previously been verified in a fully automated framework.

  • 34.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Ben Henda, Noomene
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Delzanno, Giorgio
    Rezine, Ahmed
    Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology. Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Regular Model Checking without Transducers2007In: TACAS'07, The 13th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, 2007Conference paper (Refereed)
  • 35.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Bouajjani, Ahmed
    Cederberg, Jonathan
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Haziza, Frédéric
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Rezine, Ahmed
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Monotonic abstraction for programs with dynamic memory heaps2008In: Computer Aided Verification / [ed] Gupta A, Malik S, Berlin: Springer-Verlag , 2008, p. 341-354Conference paper (Refereed)
    Abstract [en]

    We propose a new approach for automatic verification of programs with dynamic heap manipulation. The method is based on symbolic (backward) reachability analysis using upward-closed sets of heaps w.r.t. an appropriate preorder on graphs. These sets are represented by a finite set of minimal graph patterns corresponding to a set of bad configurations. We define an abstract semantics for the programs which is monotonic w.r.t. the preorder. Moreover, we prove that our analysis always terminates by showing that the preorder is a well-quasi ordering. Our results are presented for the case of programs with 1-next selector. We provide experimental results showing the effectiveness of our approach.

  • 36.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Bouajjani, Ahmed
    d'Orso, Julien
    Monotonic and downward closed games2008In: Journal of logic and computation (Print), ISSN 0955-792X, E-ISSN 1465-363X, Vol. 18, no 1, p. 153-169Article in journal (Refereed)
    Abstract [en]

    In an earlier work [Abdulla et al. (2000, Information and Computation, 160, 109127)] we presented a general framework for verification of infinite-state transition systems, where the transition relation is monotonic with respect to a well quasi-ordering on the set of states. In this article, we investigate extending the framework from the context of transition systems to that of games with infinite state spaces. We show that monotonic games with safety winning conditions are in general undecidable. In particular, we show this negative results for games which are defined over Petri nets. We identify a subclass of monotonic games, called downward closed games. We provide algorithms for analysing downward closed games subject to safety winning conditions. We apply the algorithm to games played on lossy channel systems. Finally, we show that weak parity games are undecidable for the above classes of games.

  • 37.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Bouajjani, Ahmed
    Holík, Lukás
    Kaati, Lisa
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Vojnar, Tomás
    Composed Bisimulation for Tree Automata2008In: Implementation and Application of Automata, Springer Berlin/Heidelberg, 2008, p. 212-222Conference paper (Refereed)
  • 38.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Bouajjani, Ahmed
    Holík, Lukás
    Kaati, Lisa
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Vojnar, Tomás
    Composed bisimulation for tree automata2009In: International Journal of Foundations of Computer Science, ISSN 0129-0541, Vol. 20, no 4, p. 685-700Article in journal (Refereed)
  • 39.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Bouajjani, Ahmed
    Holík, Lukás
    Kaati, Lisa
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Vojnar, Tomás
    Computing Simulations over Tree Automata: Efficient Techniques for Reducing Tree Automata2008In: Tools and Algorithms for the Construction and Analysis of Systems, Springer Berlin/Heidelberg, 2008, p. 93-108Conference paper (Refereed)
  • 40.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Cederberg, Jonathan
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Kaati, Lisa
    Analyzing the security in the GSM radio network using attack jungles2010In: Leveraging Applications of Formal Methods, Verification, and Validation: Part I, Berlin: Springer-Verlag , 2010, p. 60-74Conference paper (Refereed)
  • 41.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Cederberg, Jonathan
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Vojnar, Tomás
    Monotonic abstraction for programs with multiply-linked structures2013In: International Journal of Foundations of Computer Science, ISSN 0129-0541, Vol. 24, no 2, p. 187-210Article in journal (Refereed)
    Abstract [en]

    We investigate the use of monotonic abstraction and backward reachability analysis as means of performing shape analysis on programs with multiply pointed structures. By encoding the heap as a vertex- and edge-labeled graph, we can model the low level behaviour exhibited by programs written in the C programming language. Using the notion of signatures, which are predicates that define sets of heaps, we can check properties such as absence of null pointer dereference and shape invariants. We report on the results from running a prototype based on the method on several programs such as insertion into and merging of doubly-linked lists.

    Download full text (pdf)
    fulltext
  • 42.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Chen, Yu-Fang
    Clemente, Lorenzo
    Holík, Lukás
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Hong, Chih-Duo
    Mayr, Richard
    Vojnar, Tomás
    Advanced Ramsey-based Büchi automata inclusion testing2011In: CONCUR 2011 — Concurrency Theory, Springer Berlin/Heidelberg, 2011, p. 187-202Conference paper (Refereed)
  • 43.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Chen, Yu-Fang
    Clemente, Lorenzo
    Holík, Lukás
    Hong, Chih-Duo
    Mayr, Richard
    Vojnar, Tomás
    Simulation subsumption in Ramsey-based Büchi automata universality and inclusion testing2010In: Computer Aided Verification, Berlin: Springer-Verlag , 2010, p. 132-147Conference paper (Refereed)
  • 44.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Chen, Yu-Fang
    Delzanno, Giorgio
    Haziza, Frédéric
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Hong, Chih-Duo
    Rezine, Ahmed
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Constrained monotonic abstraction: A CEGAR for parameterized verification2010In: CONCUR 2010 – Concurrency Theory, Berlin: Springer-Verlag , 2010, p. 86-101Conference paper (Refereed)
    Abstract [en]

    In this paper, we develop a counterexample-guided abstraction refinement (CEGAR) framework for monotonic abstraction, an approach that is particularly useful in automatic verification of safety properties for parameterized systems The main drawback of verification using monotonic abstraction is that it sometimes generates spurious counterexamples Our CEGAR algorithm automatically extracts from each spurious counterexample a set of configurations called a "Safety Zone" and uses it to refine the abstract transition system of the next iteration We have developed a prototype based on this idea, and our experimentation shows that the approach allows to verify many of the examples that cannot be handled by the original monotonic abstraction approach.

  • 45.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Chen, Yu-Fang
    Holik, Lukag
    Vojnar, Tomas
    Mediating for reduction (on minimizing alternating Buchi automata)2014In: Theoretical Computer Science, ISSN 0304-3975, E-ISSN 1879-2294, Vol. 552, p. 26-43Article in journal (Refereed)
    Abstract [en]

    We propose a new approach for minimizing alternating Buchi automata (ABA). The approach is based on the mediated equivalence on states of an ABA, which is the maximal equivalence contained in the mediated preorder. Two states p and q are related by the mediated preorder if there is a mediator (mediating state) which forward simulates p and backward simulates q. Under further conditions, letting a computation on some word jump from q to p preserves the language as the automaton can anyway already accept the word without jumps by runs through the mediator. We further show how the mediated equivalence can be computed efficiently. Finally, we show that, compared to the standard forward simulation equivalence, the mediated equivalence can yield much larger reductions when applied within the process of complementing Buchi automata where ABA are used as an intermediate model.

  • 46.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Chen, Yu-Fang
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Holík, Lukás
    Mayr, Richard
    Vojnar, Tomás
    When simulation meets antichains: On checking language inclusion of nondeterministic finite (tree) automata2010In: Tools and Algorithms for the Construction and Analysis of Systems, Berlin: Springer-Verlag , 2010, p. 158-174Conference paper (Refereed)
  • 47.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Clemente, Lorenzo
    Mayr, Richard
    Sandberg, Sven
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Stochastic Parity Games on Lossy Channel Systems2014In: Logical Methods in Computer Science, ISSN 1860-5974, E-ISSN 1860-5974, Vol. 10, no 4, article id 21Article in journal (Refereed)
    Abstract [en]

    We give an algorithm for solving stochastic parity games with almost-sure winning conditions on lossy channel systems, under the constraint that both players are restricted to finitememory strategies. First, we describe a general framework, where we consider the class of 21/2-player games with almost-sure parity winning conditions on possibly infinite game graphs, assuming that the game contains a finite attractor. An attractor is a set of states (not necessarily absorbing) that is almost surely re-visited regardless of the players' decisions. We present a scheme that characterizes the set of winning states for each player. Then, we instantiate this scheme to obtain an algorithm for stochastic game lossy channel systems.

    Download full text (pdf)
    fulltext
  • 48.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Collomb-Annichini, Aurore
    Bouajjani, Ahmed
    Jonsson, Bengt
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Using Forward Reachability Analysis for Verification of Lossy Channel Systems2004In: Formal methods in system design, ISSN 0925-9856, E-ISSN 1572-8102, Vol. 25, no 1, p. 39-65Article in journal (Refereed)
  • 49.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Delzanno, Giorgio
    Rezine, Ahmed
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Automatic verification of directory-based consistency protocols with graph constraints2011In: International Journal of Foundations of Computer Science, ISSN 0129-0541, Vol. 22, no 4, p. 761-782Article in journal (Refereed)
    Abstract [en]

    We propose a symbolic verification method for directory-based consistency protocols working for an arbitrary number of controlled resources and competing processes. We use a graph-based language to specify in a uniform way both client/server interaction schemes and manipulation of directories that contain the access rights of individual clients. Graph transformations model the dynamics of a given protocol. Universally quantified conditions defined on the labels of edges incident to a given node are used to model inspection of directories, invalidation loops and integrity conditions. Our verification procedure computes an approximated backward reachability analysis by using a symbolic representation of sets of configurations. Termination is ensured by using the theory of well-quasi orderings.

  • 50.
    Abdulla, Parosh Aziz
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Delzanno, Giorgio
    Rezine, Ahmed
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computer Systems.
    Monotonic abstraction in action: Automatic verification of distributed mutex algorithms2008In: Theoretical Aspects of Computing - ICTAC 2008, Berlin: Springer-Verlag , 2008, p. 50-65Conference paper (Refereed)
1234567 1 - 50 of 1111
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