메뉴 건너뛰기




Volumn 16, Issue 2, 2000, Pages 159-189

Verification of safety properties using integer programming: Beyond the state equation

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EQUATIONS OF STATE; LINEAR ALGEBRA; LINEAR PROGRAMMING; MATRIX ALGEBRA; PETRI NETS; SYSTEMS ANALYSIS;

EID: 0033904195     PISSN: 09259856     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008743212620     Document Type: Article
Times cited : (49)

References (43)
  • 1
    • 0038029548 scopus 로고
    • Recherche des Semi-flots, des Verrous et des Trappes dans les Réseaux de Petri
    • H. Alaiwan and J.F. Toudic, "Recherche des Semi-flots, des Verrous et des Trappes dans les Réseaux de Petri," Technique et Science Informatique, Vol. 4, No. 1, pp. 103-112, 1985.
    • (1985) Technique et Science Informatique , vol.4 , Issue.1 , pp. 103-112
    • Alaiwan, H.1    Toudic, J.F.2
  • 2
    • 0028413632 scopus 로고
    • Model checking and boolean graphs
    • H.R. Andersen, "Model checking and boolean graphs," Theoretical Computer Science, Vol. 126, pp. 3-30, 1994.
    • (1994) Theoretical Computer Science , vol.126 , pp. 3-30
    • Andersen, H.R.1
  • 4
    • 85029417777 scopus 로고
    • Integer programming in the analysis of concurrent systems
    • K.G. Larsen and A. Skou (Eds.), Lecture Notes in Computer Science
    • G.S. Avrunin, J.C. Corbett, and U.A. Buy, "Integer programming in the analysis of concurrent systems," in K.G. Larsen and A. Skou (Eds.), CAV '91, Lecture Notes in Computer Science, Vol. 575, pp. 92-102, 1991.
    • (1991) CAV '91 , vol.575 , pp. 92-102
    • Avrunin, G.S.1    Corbett, J.C.2    Buy, U.A.3
  • 7
    • 85029666426 scopus 로고
    • 2 - A Basic Petri Net Programming Notation
    • Springer-Verlag, Lecture Notes in Computer Science, Also: Hildesheimer Informatikbericht 27/92, University of Hildesheim, Germany, 1992
    • 2 - A Basic Petri Net Programming Notation, in Proceedings of PARLE '93, Springer-Verlag, 1993. Lecture Notes in Computer Science, Vol. 694, pp. 379-390. Also: Hildesheimer Informatikbericht 27/92, University of Hildesheim, Germany, 1992.
    • (1993) Proceedings of PARLE '93 , vol.694 , pp. 379-390
    • Best, E.1    Hopkins, R.P.2
  • 12
    • 0029196522 scopus 로고
    • Using integer programming to verify general safety and liveness properties
    • J.C. Corbett and G.S. Avrunin, "Using integer programming to verify general safety and liveness properties," Formal Methods in System Design, Vol. 61, No. 1, pp. 97-123, 1995.
    • (1995) Formal Methods in System Design , vol.61 , Issue.1 , pp. 97-123
    • Corbett, J.C.1    Avrunin, G.S.2
  • 13
    • 0031096959 scopus 로고    scopus 로고
    • Petrify: A tool for manipulating concurrent specifications and synthesis of asynchronous controllers
    • Technical report version available at
    • J. Cortadella, M. Kishinevsky, A. Kondratyev, L. Lavagno, and A. Yakovlev, "Petrify: a tool for manipulating concurrent specifications and synthesis of asynchronous controllers," IEICE Transactions on Information and Systems, E80-D(3), pp. 315-325, 1997. Technical report version available at http://www.lsi.upc.es/ jordic/ petrify/refs/.
    • (1997) IEICE Transactions on Information and Systems , vol.E80-D , Issue.3 , pp. 315-325
    • Cortadella, J.1    Kishinevsky, M.2    Kondratyev, A.3    Lavagno, L.4    Yakovlev, A.5
  • 18
    • 0021509216 scopus 로고
    • Linear-time algorithms for testing the satisfiability of propositional horn formulae
    • W.F. Dowling and J.H. Gallier, "linear-time algorithms for testing the satisfiability of propositional horn formulae," journal of Logic Programming, Vol. 1, pp. 267-284, 1984.
    • (1984) Journal of Logic Programming , vol.1 , pp. 267-284
    • Dowling, W.F.1    Gallier, J.H.2
  • 19
    • 0010910287 scopus 로고
    • A new technique for finding a generating family of siphons, traps and ST-components. Application to colored Petri nets
    • G. Rozenberg (Ed.), Springer Verlag, Lecture Notes in Computer Science
    • J. Ezpeleta, J.M. Couvreur, and M. Silva, "A new technique for finding a generating family of siphons, traps and ST-components. Application to colored Petri nets," in G. Rozenberg (Ed.), Advances in Petri Nets, Springer Verlag, 1993. Lecture Notes in Computer Science, Vol. 674, pp. 126-147.
    • (1993) Advances in Petri Nets , vol.674 , pp. 126-147
    • Ezpeleta, J.1    Couvreur, J.M.2    Silva, M.3
  • 22
    • 0021521702 scopus 로고
    • A cutting plane algorithm for the linear ordering problem
    • M. Grötschel, M. Jünger, and G. Reinelt, "A cutting plane algorithm for the linear ordering problem," Operations Research, Vol. 32, pp. 1195-1220, 1984.
    • (1984) Operations Research , vol.32 , pp. 1195-1220
    • Grötschel, M.1    Jünger, M.2    Reinelt, G.3
  • 23
    • 84949001782 scopus 로고
    • About synchronous programming and abstract interpretation
    • B. Le Charlier (Ed.), Springer-Verlag, Lecture Notes in Computer Science
    • N. Halbwachs, "About synchronous programming and abstract interpretation," in B. Le Charlier (Ed.), SAS '94: Static Analysis Symposium, Springer-Verlag, 1994. Lecture Notes in Computer Science, Vol. 864, pp. 179-192.
    • (1994) SAS '94: Static Analysis Symposium , vol.864 , pp. 179-192
    • Halbwachs, N.1
  • 24
    • 0343544127 scopus 로고    scopus 로고
    • Petri net based qualitative analysis - A case study
    • Technical Report BTU Cottbus, I-08/1995, 1996. A short version appeared in: Petri Net Based Design and Analysis of Reactive Systems, Edinburgh
    • M. Heiner and P. Deussen, "Petri net based qualitative analysis - a case study," Technical Report BTU Cottbus, I-08/1995, 1996. A short version appeared in: Petri Net Based Design and Analysis of Reactive Systems, in the Proc. of WODES'96, Workshop on Discrete Event Systems, Edinburgh, 1996.
    • (1996) Proc. of WODES'96, Workshop on Discrete Event Systems
    • Heiner, M.1    Deussen, P.2
  • 26
    • 0002947491 scopus 로고
    • Master Thesis. University of Hildesheim
    • 2," Master Thesis. University of Hildesheim, 1994.
    • (1994) 2
    • Jenner, L.1
  • 27
    • 21844495715 scopus 로고
    • A gentle introduction to specification engineering using a case study in telecommunications
    • RD. Mosses, M. Nielsen, and M.I. Schwartzbach (Eds.), Springer-Verlag, Lecture Notes in Computer Science
    • S. Kleuker, "A gentle introduction to specification engineering using a case study in telecommunications," in RD. Mosses, M. Nielsen, and M.I. Schwartzbach (Eds.), TAPSOFT '95, Springer-Verlag, 1995. Lecture Notes in Computer Science, Vol. 915, pp.636-650.
    • (1995) TAPSOFT '95 , vol.915 , pp. 636-650
    • Kleuker, S.1
  • 28
    • 0003130675 scopus 로고
    • Linear algebraic calculation of deadlocks and traps
    • H.J. Genrich, K. Voss, and G. Rozenberg (Eds.) Springer-Verlag
    • K. Lautenbach, "Linear algebraic calculation of deadlocks and traps," in H.J. Genrich, K. Voss, and G. Rozenberg (Eds.) Concurrency and Nets. Springer-Verlag, pp. 315-336, 1987.
    • (1987) Concurrency and Nets , pp. 315-336
    • Lautenbach, K.1
  • 30
    • 84947901716 scopus 로고    scopus 로고
    • H.R. Nielson (Ed.), Springer-Verlag, Lecture Notes in Computer Science
    • S. Melzer and J. Esparza, "Checking system properties via integer programming," in H.R. Nielson (Ed.), Springer-Verlag, 1996. Lecture Notes in Computer Science, Vol. 1058, pp. 250-264.
    • (1996) Checking System Properties Via Integer Programming , vol.1058 , pp. 250-264
    • Melzer, S.1    Esparza, J.2
  • 31
    • 84947434482 scopus 로고    scopus 로고
    • Deadlock Checking using Net Unfoldings
    • O. Grumberg (Ed.), Springer-Verlag, Lecture Notes in Computer Science
    • S. Melzer and S. Römer, Deadlock Checking using Net Unfoldings. in O. Grumberg (Ed.), CAV '97, Springer-Verlag, 1997. Lecture Notes in Computer Science, Vol. 1254, pp. 352-363.
    • (1997) CAV '97 , vol.1254 , pp. 352-363
    • Melzer, S.1    Römer, S.2
  • 32
    • 85027625952 scopus 로고
    • Linear Algebra in Net Theory
    • W. Brauer (Ed.), Springer-Verlag, Lecture Notes in Computer Science
    • G. Memmi and G. Roucairol, Linear Algebra in Net Theory, in W. Brauer (Ed.), Net Theory and Applications, Springer-Verlag, 1980. Lecture Notes in Computer Science, Vol. 84, pp. 213-223.
    • (1980) Net Theory and Applications , vol.84 , pp. 213-223
    • Memmi, G.1    Roucairol, G.2
  • 33
    • 0024070968 scopus 로고
    • LTUR: A simplified linear-time unit resolution algorithm for Horn formulae and computer implementation
    • M. Minoux, "LTUR: a simplified linear-time unit resolution algorithm for Horn formulae and computer implementation," Information Processing Letters, Vol. 29, pp. 1-12, 1988.
    • (1988) Information Processing Letters , vol.29 , pp. 1-12
    • Minoux, M.1
  • 34
    • 0013314913 scopus 로고
    • Deadlocks and traps in Petri nets as horn-satisfiability solutions and some related polynomially solvable problems
    • M. Minoux and K. Barkaoui, "Deadlocks and traps in Petri nets as horn-satisfiability solutions and some related polynomially solvable problems," Discrete Applied Mathematics, Vol. 29, pp. 195-210, 1990.
    • (1990) Discrete Applied Mathematics , vol.29 , pp. 195-210
    • Minoux, M.1    Barkaoui, K.2
  • 35
    • 0024645936 scopus 로고
    • Petri nets: Properties, analysis and applications
    • T. Murata, "Petri nets: properties, analysis and applications," Proceedings of the IEEE, Vol. 77, No. 4, pp. 541-580, 1989.
    • (1989) Proceedings of the IEEE , vol.77 , Issue.4 , pp. 541-580
    • Murata, T.1
  • 36
    • 84994842734 scopus 로고
    • Petri net analysis using boolean manipulation
    • Robert Valette (Ed.), Springer-Verlag, Lecture Notes in Computer Science
    • E. Pastor, O. Roig, J. Cortadella, and R.M. Badia, "Petri net analysis using boolean manipulation," in Robert Valette (Ed.), Application and Theory of Petri Nets 1994, Springer-Verlag, 1994. Lecture Notes in Computer Science, Vol. 815, pp. 16-435.
    • (1994) Application and Theory of Petri Nets 1994 , vol.815 , pp. 16-435
    • Pastor, E.1    Roig, O.2    Cortadella, J.3    Badia, R.M.4
  • 42
    • 0001176166 scopus 로고
    • A stubborn attack on state explosion
    • A. Valmari, "A stubborn attack on state explosion," Formal Methods in System Design, Vol. 1, pp. 297-322, 1992.
    • (1992) Formal Methods in System Design , vol.1 , pp. 297-322
    • Valmari, A.1
  • 43
    • 0003939661 scopus 로고
    • Technical Report 13, B Series, Department of Computer Science, Helsinki University of Technology
    • K. Varpaaniemi, J. Halme, K. Hiekkanen, and T. Pyssysalo, "PROD reference manual," Technical Report 13, B Series, Department of Computer Science, Helsinki University of Technology, 1995.
    • (1995) PROD Reference Manual
    • Varpaaniemi, K.1    Halme, J.2    Hiekkanen, K.3    Pyssysalo, T.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.