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Volumn 410, Issue 46, 2009, Pages 4672-4691

Applications of polyhedral computations to the analysis and verification of hardware and software systems

Author keywords

Abstract interpretation; Computer aided verification; Static analysis

Indexed keywords

ABSTRACT INTERPRETATION; CONVEX POLYHEDRONS; HARDWARE AND SOFTWARE; MISSION CRITICAL SYSTEMS; THEORETICAL INVESTIGATIONS; WIDE SPECTRUM;

EID: 70349632198     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2009.07.033     Document Type: Article
Times cited : (27)

References (79)
  • 2
    • 0000050873 scopus 로고
    • Hybrid automata: An algorithmic approach to the specification and verification of hybrid systems
    • Hybrid Systems I
    • Alur R., Courcoubetis C., Henzinger T.~A., and Ho P.-H. Hybrid automata: An algorithmic approach to the specification and verification of hybrid systems. Hybrid Systems I. Lecture Notes in Computer Science vol. 736 (1993)
    • (1993) Lecture Notes in Computer Science , vol.736
    • Alur, R.1    Courcoubetis, C.2    Henzinger, T.A.3    Ho, P.-H.4
  • 4
    • 0010606787 scopus 로고    scopus 로고
    • lrs: A revised implementation of the reverse search vertex enumeration algorithm
    • Polytopes - Combinatorics and Computation. Kalai G., and Ziegler G.M. (Eds), Birkhäuser-Verlag
    • Avis D. lrs: A revised implementation of the reverse search vertex enumeration algorithm. In: Kalai G., and Ziegler G.M. (Eds). Polytopes - Combinatorics and Computation. Oberwolfach Seminars vol. 29 (2000), Birkhäuser-Verlag 177-198
    • (2000) Oberwolfach Seminars , vol.29 , pp. 177-198
    • Avis, D.1
  • 6
    • 0008839978 scopus 로고    scopus 로고
    • Ph.D. Thesis, Dipartimento di Informatica, Università di Pisa, Pisa, Italy, printed as Report TD-1/97, Mar
    • R. Bagnara, Data-flow analysis for constraint logic-based languages, Ph.D. Thesis, Dipartimento di Informatica, Università di Pisa, Pisa, Italy, printed as Report TD-1/97, Mar. 1997
    • (1997) Data-flow analysis for constraint logic-based languages
    • Bagnara, R.1
  • 7
    • 0031619234 scopus 로고    scopus 로고
    • A hierarchy of constraint systems for data-flow analysis of constraint logic-based languages
    • Bagnara R. A hierarchy of constraint systems for data-flow analysis of constraint logic-based languages. Science of Computer Programming 30 1-2 (1998) 119-155
    • (1998) Science of Computer Programming , vol.30 , Issue.1-2 , pp. 119-155
    • Bagnara, R.1
  • 8
    • 34548080326 scopus 로고    scopus 로고
    • Grids: A domain for analyzing the distribution of numerical values
    • Logic-based Program Synthesis and Transformation, 16th International Symposium. Puebla G. (Ed), Springer-Verlag, Berlin, Venice, Italy
    • Bagnara R., Dobson K., Hill P.~M., Mundell M., and Zaffanella E. Grids: A domain for analyzing the distribution of numerical values. In: Puebla G. (Ed). Logic-based Program Synthesis and Transformation, 16th International Symposium. Lecture Notes in Computer Science vol. 4407 (2007), Springer-Verlag, Berlin, Venice, Italy
    • (2007) Lecture Notes in Computer Science , vol.4407
    • Bagnara, R.1    Dobson, K.2    Hill, P.M.3    Mundell, M.4    Zaffanella, E.5
  • 9
    • 70349611748 scopus 로고    scopus 로고
    • R. Bagnara, P. M. Hill, A. Pescetti, E. Zaffanella, On the design of generic static analyzers for modern imperative languages, Tech. Rep. arXiv:cs.PL/0703116, Dipartimento di Matematica, Università di Parma, Italy, 2007. Available from http://arxiv.org/
    • R. Bagnara, P. M. Hill, A. Pescetti, E. Zaffanella, On the design of generic static analyzers for modern imperative languages, Tech. Rep. arXiv:cs.PL/0703116, Dipartimento di Matematica, Università di Parma, Italy, 2007. Available from http://arxiv.org/
  • 11
    • 23844440861 scopus 로고    scopus 로고
    • Not necessarily closed convex polyhedra and the double description method
    • Bagnara R., Hill P.~M., and Zaffanella E. Not necessarily closed convex polyhedra and the double description method. Formal Aspects of Computing 17 2 (2005) 222-257
    • (2005) Formal Aspects of Computing , vol.17 , Issue.2 , pp. 222-257
    • Bagnara, R.1    Hill, P.M.2    Zaffanella, E.3
  • 12
    • 33748993960 scopus 로고    scopus 로고
    • Widening operators for powerset domains
    • As the figures in the journal version of this paper have been improperly printed -rendering them useless-, we recommend that interested readers download an electronic copy from the PPL's web site at http://www.cs.unipr.it/ppl/
    • Bagnara R., Hill P.~M., and Zaffanella E. Widening operators for powerset domains. Software Tools for Technology Transfer 8 4/5 (2006) 449-466. http://www.cs.unipr.it/ppl/ As the figures in the journal version of this paper have been improperly printed -rendering them useless-, we recommend that interested readers download an electronic copy from the PPL's web site at http://www.cs.unipr.it/ppl/
    • (2006) Software Tools for Technology Transfer , vol.8 , Issue.4-5 , pp. 449-466
    • Bagnara, R.1    Hill, P.M.2    Zaffanella, E.3
  • 13
    • 70349630627 scopus 로고    scopus 로고
    • R. Bagnara, P. M. Hill, E. Zaffanella, Applications of polyhedral computations to the analysis and verification of hardware and software systems, arXiv:cs.CG/0701122, available from http://arxiv.org/. 2007
    • R. Bagnara, P. M. Hill, E. Zaffanella, Applications of polyhedral computations to the analysis and verification of hardware and software systems, arXiv:cs.CG/0701122, available from http://arxiv.org/. 2007
  • 14
    • 45849140560 scopus 로고    scopus 로고
    • The Parma Polyhedra Library: Toward a complete set of numerical abstractions for the analysis and verification of hardware and software systems
    • Bagnara R., Hill P.~M., and Zaffanella E. The Parma Polyhedra Library: Toward a complete set of numerical abstractions for the analysis and verification of hardware and software systems. Science of Computer Programming 72 1-2 (2008) 3-21
    • (2008) Science of Computer Programming , vol.72 , Issue.1-2 , pp. 3-21
    • Bagnara, R.1    Hill, P.M.2    Zaffanella, E.3
  • 15
    • 33646072822 scopus 로고    scopus 로고
    • Generation of basic semi-algebraic invariants using convex polyhedra
    • Static Analysis: Proceedings of the 12th International Symposium. Hankin C., and Siveroni I. (Eds), Springer-Verlag, Berlin, London, UK
    • Bagnara R., Rodríguez-Carbonell E., and Zaffanella E. Generation of basic semi-algebraic invariants using convex polyhedra. In: Hankin C., and Siveroni I. (Eds). Static Analysis: Proceedings of the 12th International Symposium. Lecture Notes in Computer Science vol. 3672 (2005), Springer-Verlag, Berlin, London, UK
    • (2005) Lecture Notes in Computer Science , vol.3672
    • Bagnara, R.1    Rodríguez-Carbonell, E.2    Zaffanella, E.3
  • 18
    • 84949471838 scopus 로고    scopus 로고
    • Inferring argument size relationships with CLP(R)
    • Logic Program Synthesis and Transformation: Proceedings of the 6th International Workshop. Gallagher J.P. (Ed), Springer-Verlag, Berlin, Stockholm, Sweden
    • Benoy F., and King A. Inferring argument size relationships with CLP(R). In: Gallagher J.P. (Ed). Logic Program Synthesis and Transformation: Proceedings of the 6th International Workshop. Lecture Notes in Computer Science vol. 1207 (1997), Springer-Verlag, Berlin, Stockholm, Sweden
    • (1997) Lecture Notes in Computer Science , vol.1207
    • Benoy, F.1    King, A.2
  • 19
    • 84957623083 scopus 로고    scopus 로고
    • Polyhedral analysis for synchronous languages
    • Static Analysis: Proceedings of the 6th International Symposium. Cortesi A., and Filé G. (Eds), Springer-Verlag, Berlin, Venice, Italy
    • Besson F., Jensen T.~P., and Talpin J.-P. Polyhedral analysis for synchronous languages. In: Cortesi A., and Filé G. (Eds). Static Analysis: Proceedings of the 6th International Symposium. Lecture Notes in Computer Science vol. 1694 (1999), Springer-Verlag, Berlin, Venice, Italy
    • (1999) Lecture Notes in Computer Science , vol.1694
    • Besson, F.1    Jensen, T.P.2    Talpin, J.-P.3
  • 20
    • 70349630187 scopus 로고
    • American Mathematical Society, Providence, RI, USA
    • Birkhoff G. Lattice Theory. 3rd ed. Colloquium Publications vol. XXV (1967), American Mathematical Society, Providence, RI, USA
    • (1967) Colloquium Publications , vol.XXV
    • Birkhoff, G.1
  • 22
    • 0012085727 scopus 로고    scopus 로고
    • Model-checking concurrent systems with unbounded integer variables: Symbolic representations, approximations, and experimental results
    • Bultan T., Gerber R., and Pugh W. Model-checking concurrent systems with unbounded integer variables: Symbolic representations, approximations, and experimental results. ACM Transactions on Programming Languages and Systems 21 4 (1999) 747-789
    • (1999) ACM Transactions on Programming Languages and Systems , vol.21 , Issue.4 , pp. 747-789
    • Bultan, T.1    Gerber, R.2    Pugh, W.3
  • 23
    • 2342489718 scopus 로고
    • Algorithm for discovering the set of all solutions of a linear programming problem
    • Chernikova N.~V. Algorithm for discovering the set of all solutions of a linear programming problem. U.S.S.R. Computational Mathematics and Mathematical Physics 8 6 (1968) 282-293
    • (1968) U.S.S.R. Computational Mathematics and Mathematical Physics , vol.8 , Issue.6 , pp. 282-293
    • Chernikova, N.V.1
  • 24
    • 84903179505 scopus 로고    scopus 로고
    • Synthesis of linear ranking functions
    • Tools and Algorithms for Construction and Analysis of Systems, 7th International Conference. Margaria T., and Yi W. (Eds). TACAS 2001, Springer-Verlag, Berlin, Genova, Italy
    • Colón M.~A., and Sipma H.~B. Synthesis of linear ranking functions. In: Margaria T., and Yi W. (Eds). Tools and Algorithms for Construction and Analysis of Systems, 7th International Conference. TACAS 2001. Lecture Notes in Computer Science vol. 2031 (2001), Springer-Verlag, Berlin, Genova, Italy
    • (2001) Lecture Notes in Computer Science , vol.2031
    • Colón, M.A.1    Sipma, H.B.2
  • 25
    • 0343005923 scopus 로고    scopus 로고
    • Combinations of abstract domains for logic programming: Open product and generic pattern construction
    • Cortesi A., Le Charlier B., and Van Hentenryck P. Combinations of abstract domains for logic programming: Open product and generic pattern construction. Science of Computer Programming 38 1-3 (2000) 27-71
    • (2000) Science of Computer Programming , vol.38 , Issue.1-3 , pp. 27-71
    • Cortesi, A.1    Le Charlier, B.2    Van Hentenryck, P.3
  • 26
    • 24144488686 scopus 로고    scopus 로고
    • Proving program invariance and termination by parametric abstraction, lagrangian relaxation and semidefinite programming
    • Verification, Model Checking and Abstract Interpretation: Proceedings of the 6th International Conference. Cousot R. (Ed). VMCAI 2005, Springer-Verlag, Berlin, Paris, France
    • Cousot P. Proving program invariance and termination by parametric abstraction, lagrangian relaxation and semidefinite programming. In: Cousot R. (Ed). Verification, Model Checking and Abstract Interpretation: Proceedings of the 6th International Conference. VMCAI 2005. Lecture Notes in Computer Science vol. 3385 (2005), Springer-Verlag, Berlin, Paris, France
    • (2005) Lecture Notes in Computer Science , vol.3385
    • Cousot, P.1
  • 27
  • 32
    • 0023386175 scopus 로고
    • Constraint propagation with interval labels
    • Davis E. Constraint propagation with interval labels. Artificial Intelligence 32 3 (1987) 281-331
    • (1987) Artificial Intelligence , vol.32 , Issue.3 , pp. 281-331
    • Davis, E.1
  • 33
    • 84948951487 scopus 로고    scopus 로고
    • Model checking in CLP
    • Tools and Algorithms for Construction and Analysis of Systems, 5th International Conference. Cleaveland R. (Ed). TACAS '99, Springer-Verlag, Berlin, Amsterdam, The Netherlands
    • Delzanno G., and Podelski A. Model checking in CLP. In: Cleaveland R. (Ed). Tools and Algorithms for Construction and Analysis of Systems, 5th International Conference. TACAS '99. Lecture Notes in Computer Science vol. 1579 (1999), Springer-Verlag, Berlin, Amsterdam, The Netherlands
    • (1999) Lecture Notes in Computer Science , vol.1579
    • Delzanno, G.1    Podelski, A.2
  • 34
    • 33744952491 scopus 로고    scopus 로고
    • Polyhedra-based approach for incremental validation of real-time systems
    • Proceedings of the International Conference on Embedded and Ubiquitous Computing. Yang L.T., Amamiya M., Liu Z., Guo M., and Rammig F.J. (Eds). EUC 2005, Springer-Verlag, Berlin, Nagasaki, Japan
    • Doose D., and Mammeri Z. Polyhedra-based approach for incremental validation of real-time systems. In: Yang L.T., Amamiya M., Liu Z., Guo M., and Rammig F.J. (Eds). Proceedings of the International Conference on Embedded and Ubiquitous Computing. EUC 2005. Lecture Notes in Computer Science vol. 3824 (2005), Springer-Verlag, Berlin, Nagasaki, Japan
    • (2005) Lecture Notes in Computer Science , vol.3824
    • Doose, D.1    Mammeri, Z.2
  • 35
    • 84890090975 scopus 로고    scopus 로고
    • Cleanness checking of string manipulations in C programs via integer analysis
    • Static Analysis: 8th International Symposium, SAS 2001. Cousot P. (Ed), Springer-Verlag, Berlin, Paris, France
    • Dor N., Rodeh M., and Sagiv S. Cleanness checking of string manipulations in C programs via integer analysis. In: Cousot P. (Ed). Static Analysis: 8th International Symposium, SAS 2001. Lecture Notes in Computer Science vol. 2126 (2001), Springer-Verlag, Berlin, Paris, France
    • (2001) Lecture Notes in Computer Science , vol.2126
    • Dor, N.1    Rodeh, M.2    Sagiv, S.3
  • 36
    • 33745464615 scopus 로고    scopus 로고
    • Automatic rectangular refinement of affine hybrid systems
    • Proceedings of the 3rd International Conference on Formal Modeling and Analysis of Timed Systems. Pettersson P., and Yi W. (Eds). FORMATS 2005, Springer-Verlag, Berlin, Uppsala, Sweden
    • Doyen L., Henzinger T.~A., and Raskin J.-F. Automatic rectangular refinement of affine hybrid systems. In: Pettersson P., and Yi W. (Eds). Proceedings of the 3rd International Conference on Formal Modeling and Analysis of Timed Systems. FORMATS 2005. Lecture Notes in Computer Science vol. 3829 (2005), Springer-Verlag, Berlin, Uppsala, Sweden
    • (2005) Lecture Notes in Computer Science , vol.3829
    • Doyen, L.1    Henzinger, T.A.2    Raskin, J.-F.3
  • 38
    • 24344447320 scopus 로고    scopus 로고
    • PHAVer: Algorithmic verification of hybrid systems past HyTech
    • Hybrid Systems: Computation and Control: Proceedings of the 8th International Workshop. Morari M., and Thiele L. (Eds). HSCC 2005, Springer-Verlag, Berlin, Zürich, Switzerland
    • Frehse G. PHAVer: Algorithmic verification of hybrid systems past HyTech. In: Morari M., and Thiele L. (Eds). Hybrid Systems: Computation and Control: Proceedings of the 8th International Workshop. HSCC 2005. Lecture Notes in Computer Science vol. 3414 (2005), Springer-Verlag, Berlin, Zürich, Switzerland
    • (2005) Lecture Notes in Computer Science , vol.3414
    • Frehse, G.1
  • 40
    • 84947909628 scopus 로고    scopus 로고
    • Double description method revisited
    • Combinatorics and Computer Science, 8th Franco-Japanese and 4th Franco-Chinese Conference. Deza M., Euler R., and Manoussakis Y. (Eds). Brest, France, July 3-5, 1995, Selected Papers, Springer-Verlag, Berlin
    • Fukuda K., and Prodon A. Double description method revisited. In: Deza M., Euler R., and Manoussakis Y. (Eds). Combinatorics and Computer Science, 8th Franco-Japanese and 4th Franco-Chinese Conference. Brest, France, July 3-5, 1995, Selected Papers. Lecture Notes in Computer Science vol. 1120 (1996), Springer-Verlag, Berlin
    • (1996) Lecture Notes in Computer Science , vol.1120
    • Fukuda, K.1    Prodon, A.2
  • 42
    • 84976665103 scopus 로고
    • Improving the results of static analyses programs by local decreasing iteration
    • Proceedings of the 12th Conference on Foundations of Software Technology and Theoretical Computer Science. Shyamasundar R.K. (Ed), Springer-Verlag, Berlin, New Delhi, India
    • Granger P. Improving the results of static analyses programs by local decreasing iteration. In: Shyamasundar R.K. (Ed). Proceedings of the 12th Conference on Foundations of Software Technology and Theoretical Computer Science. Lecture Notes in Computer Science vol. 652 (1992), Springer-Verlag, Berlin, New Delhi, India
    • (1992) Lecture Notes in Computer Science , vol.652
    • Granger, P.1
  • 43
    • 85011706801 scopus 로고    scopus 로고
    • Static analyses of congruence properties on rational numbers (extended abstract)
    • Static Analysis: Proceedings of the 4th International Symposium. Van Hentenryck P. (Ed), Springer-Verlag, Berlin, Paris, France
    • Granger P. Static analyses of congruence properties on rational numbers (extended abstract). In: Van Hentenryck P. (Ed). Static Analysis: Proceedings of the 4th International Symposium. Lecture Notes in Computer Science vol. 1302 (1997), Springer-Verlag, Berlin, Paris, France
    • (1997) Lecture Notes in Computer Science , vol.1302
    • Granger, P.1
  • 44
    • 33745794069 scopus 로고    scopus 로고
    • Counterexample driven refinement for abstract interpretation
    • Proceedings of the 12th International Conference on Tools and Algorithms for the Construction and Analysis of Systems. Hermanns H., and Palsberg J. (Eds), Springer-Verlag, Berlin, Vienna, Austria
    • Gulavani B.~S., and Rajamani S.~K. Counterexample driven refinement for abstract interpretation. In: Hermanns H., and Palsberg J. (Eds). Proceedings of the 12th International Conference on Tools and Algorithms for the Construction and Analysis of Systems. Lecture Notes in Computer Science vol. 3920 (2006), Springer-Verlag, Berlin, Vienna, Austria
    • (2006) Lecture Notes in Computer Science , vol.3920
    • Gulavani, B.S.1    Rajamani, S.K.2
  • 45
    • 84947978347 scopus 로고
    • Delay analysis in synchronous programs
    • Computer Aided Verification: Proceedings of the 5th International Conference. Courcoubetis C. (Ed), Springer-Verlag, Berlin, Elounda, Greece
    • Halbwachs N. Delay analysis in synchronous programs. In: Courcoubetis C. (Ed). Computer Aided Verification: Proceedings of the 5th International Conference. Lecture Notes in Computer Science vol. 697 (1993), Springer-Verlag, Berlin, Elounda, Greece
    • (1993) Lecture Notes in Computer Science , vol.697
    • Halbwachs, N.1
  • 46
    • 33746071222 scopus 로고    scopus 로고
    • Some ways to reduce the space dimension in polyhedra computations
    • Halbwachs N., Merchat D., and Gonnord L. Some ways to reduce the space dimension in polyhedra computations. Formal Methods in System Design 29 1 (2006) 79-95
    • (2006) Formal Methods in System Design , vol.29 , Issue.1 , pp. 79-95
    • Halbwachs, N.1    Merchat, D.2    Gonnord, L.3
  • 47
    • 0031213092 scopus 로고    scopus 로고
    • Verification of real-time systems using linear relation analysis
    • Halbwachs N., Proy Y.-E., and Roumanoff P. Verification of real-time systems using linear relation analysis. Formal Methods in System Design 11 2 (1997) 157-185
    • (1997) Formal Methods in System Design , vol.11 , Issue.2 , pp. 157-185
    • Halbwachs, N.1    Proy, Y.-E.2    Roumanoff, P.3
  • 48
    • 84937570416 scopus 로고    scopus 로고
    • On discrete modeling and model checking for nonlinear analog systems
    • Computer Aided Verification: Proceedings of the 14th International Conference. Brinksma E., and Larsen K.G. (Eds), Springer-Verlag, Berlin, Copenhagen, Denmark
    • Hartong W., Hedrich L., and Barke E. On discrete modeling and model checking for nonlinear analog systems. In: Brinksma E., and Larsen K.G. (Eds). Computer Aided Verification: Proceedings of the 14th International Conference. Lecture Notes in Computer Science vol. 2404 (2002), Springer-Verlag, Berlin, Copenhagen, Denmark
    • (2002) Lecture Notes in Computer Science , vol.2404
    • Hartong, W.1    Hedrich, L.2    Barke, E.3
  • 50
    • 0039819725 scopus 로고
    • A note on abstract interpretation strategies for hybrid automata
    • Hybrid Systems II. Antsaklis P.J., Kohn W., Nerode A., and Sastry S. (Eds), Springer-Verlag, Berlin
    • Henzinger T.A., and Ho P.-H. A note on abstract interpretation strategies for hybrid automata. In: Antsaklis P.J., Kohn W., Nerode A., and Sastry S. (Eds). Hybrid Systems II. Lecture Notes in Computer Science vol. 999 (1995), Springer-Verlag, Berlin
    • (1995) Lecture Notes in Computer Science , vol.999
    • Henzinger, T.A.1    Ho, P.-H.2
  • 53
    • 35048816981 scopus 로고    scopus 로고
    • Static analysis of gated data dependence graphs
    • Static Analysis: Proceedings of the 11th International Symposium. Giacobazzi R. (Ed), Springer-Verlag, Berlin, Verona, Italy
    • Hymans C., and Upton E. Static analysis of gated data dependence graphs. In: Giacobazzi R. (Ed). Static Analysis: Proceedings of the 11th International Symposium. Lecture Notes in Computer Science vol. 3148 (2004), Springer-Verlag, Berlin, Verona, Italy
    • (2004) Lecture Notes in Computer Science , vol.3148
    • Hymans, C.1    Upton, E.2
  • 54
    • 84958790465 scopus 로고
    • Natural semantics
    • Proceedings of the 4th Annual Symposium on Theoretical Aspects of Computer Science. Brandenburg F.-J., Vidal-Naquet G., and Wirsing M. (Eds), Springer-Verlag, Berlin, Passau, Germany
    • Kahn G. Natural semantics. In: Brandenburg F.-J., Vidal-Naquet G., and Wirsing M. (Eds). Proceedings of the 4th Annual Symposium on Theoretical Aspects of Computer Science. Lecture Notes in Computer Science vol. 247 (1987), Springer-Verlag, Berlin, Passau, Germany
    • (1987) Lecture Notes in Computer Science , vol.247
    • Kahn, G.1
  • 55
    • 0016881880 scopus 로고
    • Affine relationships among variables of a program
    • Karr M. Affine relationships among variables of a program. Acta Informatica 6 (1976) 133-151
    • (1976) Acta Informatica , vol.6 , pp. 133-151
    • Karr, M.1
  • 56
    • 29644444223 scopus 로고    scopus 로고
    • A unifying framework for several cutting plane methods for semidefinite programming
    • Krishnan K., and Mitchell J. A unifying framework for several cutting plane methods for semidefinite programming. Optimization Methods and Software 21 1 (2006) 57-74
    • (2006) Optimization Methods and Software , vol.21 , Issue.1 , pp. 57-74
    • Krishnan, K.1    Mitchell, J.2
  • 58
    • 0000255990 scopus 로고
    • On Fourier's algorithm for linear arithmetic constraints
    • Lassez J.-L., and Maher M.J. On Fourier's algorithm for linear arithmetic constraints. Journal of Automated Reasoning 9 3 (1992) 373-379
    • (1992) Journal of Automated Reasoning , vol.9 , Issue.3 , pp. 373-379
    • Lassez, J.-L.1    Maher, M.J.2
  • 59
    • 23844443715 scopus 로고
    • A note on Chernikova's algorithm
    • IRISA, Campus de Beaulieu, Rennes, France
    • Le Verge H. A note on Chernikova's algorithm. Publication interne 635 (1992), IRISA, Campus de Beaulieu, Rennes, France
    • (1992) Publication interne 635
    • Le Verge, H.1
  • 60
    • 70349624533 scopus 로고    scopus 로고
    • V. Loechner, PolyLib: A library for manipulating parameterized polyhedra. Available at http://icps.u-strasbg.fr/~loechner/polylib/, declares itself to be a continuation of [79], Mar. 1999
    • V. Loechner, PolyLib: A library for manipulating parameterized polyhedra. Available at http://icps.u-strasbg.fr/~loechner/polylib/, declares itself to be a continuation of [79], Mar. 1999
  • 61
    • 14544285940 scopus 로고    scopus 로고
    • cTI: A constraint-based termination inference tool for ISO-Prolog
    • Mesnard F., and Bagnara R. cTI: A constraint-based termination inference tool for ISO-Prolog. Theory and Practice of Logic Programming 5 1&2 (2005) 243-257
    • (2005) Theory and Practice of Logic Programming , vol.5 , Issue.1-2 , pp. 243-257
    • Mesnard, F.1    Bagnara, R.2
  • 62
    • 70349614868 scopus 로고    scopus 로고
    • A. Miné, Weakly relational numerical abstract domains, Ph.D. Thesis, École Polytechnique, Paris, France, Mar. 2005
    • A. Miné, Weakly relational numerical abstract domains, Ph.D. Thesis, École Polytechnique, Paris, France, Mar. 2005
  • 63
    • 0002043078 scopus 로고
    • The double description method
    • Contributions to the Theory of Games-Volume II, No. 28. Kuhn H.W., and Tucker A.W. (Eds), Princeton University Press, Princeton, New Jersey
    • Motzkin T.S., Raiffa H., Thompson G.L., and Thrall R.~M. The double description method. In: Kuhn H.W., and Tucker A.W. (Eds). Contributions to the Theory of Games-Volume II, No. 28. Annals of Mathematics Studies (1953), Princeton University Press, Princeton, New Jersey 51-73
    • (1953) Annals of Mathematics Studies , pp. 51-73
    • Motzkin, T.S.1    Raiffa, H.2    Thompson, G.L.3    Thrall, R.M.4
  • 64
    • 0033362934 scopus 로고    scopus 로고
    • The modulo interval: A simple and practical representation for program analysis
    • Proceedings of the 1999 International Conference on Parallel Architectures and Compilation Techniques, Newport Beach, California, USA
    • Nakanishi T., Joe K., Polychronopoulos C.D., and Fukuda A. The modulo interval: A simple and practical representation for program analysis. Proceedings of the 1999 International Conference on Parallel Architectures and Compilation Techniques. IEEE Computer Society (1999), Newport Beach, California, USA
    • (1999) IEEE Computer Society
    • Nakanishi, T.1    Joe, K.2    Polychronopoulos, C.D.3    Fukuda, A.4
  • 65
    • 70349613637 scopus 로고    scopus 로고
    • A library for Z-polyhedral operations
    • IRISA, Campus de Beaulieu, Rennes, France
    • Nookala S.P.K., and Risset T. A library for Z-polyhedral operations. Publication Interne 1330 (2000), IRISA, Campus de Beaulieu, Rennes, France
    • (2000) Publication Interne 1330
    • Nookala, S.P.K.1    Risset, T.2
  • 66
    • 0003931061 scopus 로고
    • A structural approach to operational semantics
    • FN-19, Computer Science Department, University of Aarhus, Denmark
    • G. Plotkin, A structural approach to operational semantics, Tech. Rep. DAIMI FN-19, Computer Science Department, University of Aarhus, Denmark, 1981
    • (1981) Tech. Rep. DAIMI
    • Plotkin, G.1
  • 67
    • 70349621056 scopus 로고    scopus 로고
    • On manipulating Z-polyhedra, Tech. Rep. 1016, IRISA, Campus Universitaire de Bealieu, Rennes, France
    • Jul
    • P. Quinton, S. Rajopadhye, T. Risset, On manipulating Z-polyhedra, Tech. Rep. 1016, IRISA, Campus Universitaire de Bealieu, Rennes, France, Jul. 1996
    • (1996)
    • Quinton, P.1    Rajopadhye, S.2    Risset, T.3
  • 68
    • 33745678037 scopus 로고    scopus 로고
    • Efficient strongly relational polyhedral analysis
    • Verification, Model Checking and Abstract Interpretation: Proceedings of the 7th International Conference. Emerson E.A., and Namjoshi K.S. (Eds). VMCAI 2006, Springer-Verlag, Berlin, Charleston, SC, USA
    • Sankaranarayanan S., Colón M., Sipma H.~B., and Manna Z. Efficient strongly relational polyhedral analysis. In: Emerson E.A., and Namjoshi K.S. (Eds). Verification, Model Checking and Abstract Interpretation: Proceedings of the 7th International Conference. VMCAI 2006. Lecture Notes in Computer Science vol. 3855 (2006), Springer-Verlag, Berlin, Charleston, SC, USA
    • (2006) Lecture Notes in Computer Science , vol.3855
    • Sankaranarayanan, S.1    Colón, M.2    Sipma, H.B.3    Manna, Z.4
  • 69
    • 24144461197 scopus 로고    scopus 로고
    • Scalable analysis of linear systems using mathematical programming
    • Verification, Model Checking and Abstract Interpretation: Proceedings of the 6th International Conference. Cousot R. (Ed). VMCAI 2005, Springer-Verlag, Berlin, Paris, France
    • Sankaranarayanan S., Sipma H.~B., and Manna Z. Scalable analysis of linear systems using mathematical programming. In: Cousot R. (Ed). Verification, Model Checking and Abstract Interpretation: Proceedings of the 6th International Conference. VMCAI 2005. Lecture Notes in Computer Science vol. 3385 (2005), Springer-Verlag, Berlin, Paris, France
    • (2005) Lecture Notes in Computer Science , vol.3385
    • Sankaranarayanan, S.1    Sipma, H.B.2    Manna, Z.3
  • 70
    • 84955618459 scopus 로고
    • Natural-semantics-based abstract interpretation (preliminary version)
    • Static Analysis: Proceedings of the 2nd International Symposium. Mycroft A. (Ed), Springer-Verlag, Berlin, Glasgow, UK
    • Schmidt D.A. Natural-semantics-based abstract interpretation (preliminary version). In: Mycroft A. (Ed). Static Analysis: Proceedings of the 2nd International Symposium. Lecture Notes in Computer Science vol. 983 (1995), Springer-Verlag, Berlin, Glasgow, UK
    • (1995) Lecture Notes in Computer Science , vol.983
    • Schmidt, D.A.1
  • 72
    • 84957022978 scopus 로고    scopus 로고
    • Automatic removal of array memory leaks in Java
    • Proceedings of the 9th International Conference on Compiler Construction. Watt D.A. (Ed). CC 2000, Springer-Verlag, Berlin, Berlin, Germany
    • Shaham R., Kolodner E.~K., and Sagiv S. Automatic removal of array memory leaks in Java. In: Watt D.A. (Ed). Proceedings of the 9th International Conference on Compiler Construction. CC 2000. Lecture Notes in Computer Science vol. 1781 (2000), Springer-Verlag, Berlin, Berlin, Germany
    • (2000) Lecture Notes in Computer Science , vol.1781
    • Shaham, R.1    Kolodner, E.K.2    Sagiv, S.3
  • 73
    • 35248817838 scopus 로고    scopus 로고
    • Two variables per linear inequality as an abstract domain
    • Logic Based Program Synthesis and Tranformation, 12th International Workshop. Leuschel M. (Ed), Springer-Verlag, Berlin, Madrid, Spain
    • Simon A., King A., and Howe J.M. Two variables per linear inequality as an abstract domain. In: Leuschel M. (Ed). Logic Based Program Synthesis and Tranformation, 12th International Workshop. Lecture Notes in Computer Science vol. 2664 (2002), Springer-Verlag, Berlin, Madrid, Spain
    • (2002) Lecture Notes in Computer Science , vol.2664
    • Simon, A.1    King, A.2    Howe, J.M.3
  • 75
    • 30344472404 scopus 로고    scopus 로고
    • SPHIN: A model checker for reconfigurable hybrid systems based on SPIN
    • Proceedings of the 5th International Workshop on Automated Verification of Critical Systems. Lazic R., and Nagarajan R. (Eds), University of Warwick, UK
    • Song H., Compton K.J., and Rounds W.C. SPHIN: A model checker for reconfigurable hybrid systems based on SPIN. In: Lazic R., and Nagarajan R. (Eds). Proceedings of the 5th International Workshop on Automated Verification of Critical Systems. Electronic Notes in Theoretical Computer Science vol. 145 (2006), University of Warwick, UK
    • (2006) Electronic Notes in Theoretical Computer Science , vol.145
    • Song, H.1    Compton, K.J.2    Rounds, W.C.3
  • 77
    • 38049174648 scopus 로고    scopus 로고
    • Verifying generalized soundness for workflow nets
    • Perspectives of System Informatics: Proceedings of the Sixth International Andrei Ershov Memorial Conference. Virbitskaite I., and Voronkov A. (Eds), Springer-Verlag, Berlin, Akademgorodok, Novosibirsk, Russia
    • van Hee K., Oanea O., Sidorova N., and Voorhoeve M. Verifying generalized soundness for workflow nets. In: Virbitskaite I., and Voronkov A. (Eds). Perspectives of System Informatics: Proceedings of the Sixth International Andrei Ershov Memorial Conference. Lecture Notes in Computer Science vol. 4378 (2006), Springer-Verlag, Berlin, Akademgorodok, Novosibirsk, Russia
    • (2006) Lecture Notes in Computer Science , vol.4378
    • van Hee, K.1    Oanea, O.2    Sidorova, N.3    Voorhoeve, M.4
  • 79
    • 0004005802 scopus 로고
    • Master's Thesis, Oregon State University, Corvallis, Oregon, also published as IRISA Publication interne, Rennes, France, Dec
    • D.K. Wilde, A library for doing polyhedral operations, Master's Thesis, Oregon State University, Corvallis, Oregon, also published as IRISA Publication interne 785, Rennes, France, 1993, Dec. 1993
    • (1993) A library for doing polyhedral operations , pp. 785
    • Wilde, D.K.1


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