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Volumn 2, Issue 1-2, 2006, Pages 128-139

Using inclusion abstraction to construct Atomic State Class Graphs for Time Petri Nets

Author keywords

Atomic State Class Graph (ASCG); CTL* properties; model checking; state class spaces; Strong State Class Graph (SSCG); Time Petri Nets (TPNs)

Indexed keywords


EID: 38149085464     PISSN: 17411068     EISSN: 17411076     Source Type: Journal    
DOI: 10.1504/ijes.2006.010171     Document Type: Article
Times cited : (7)

References (35)
  • 1
    • 85031771187 scopus 로고
    • Automata, languages, and programming
    • Paterson, M.S. (Ed.) Springer-Verlag, ICALP 90
    • Alur, R. and Dill, D. (1990) ‘Automata, languages, and programming’, Paterson, M.S. (Ed.): Lecture Notes in Computer Science 443, Springer-Verlag, ICALP 90, pp.322–335.
    • (1990) Lecture Notes in Computer Science 443 , pp. 322-335
    • Alur, R.1    Dill, D.2
  • 2
    • 18944362188 scopus 로고
    • Advances in Petri Nets, Grzegorz Rosenberg editor, LNCS 424, Springer-verlag, Berlin, Germany
    • Andre, C. (1989) Synchronized Elementary Net Systems, Advances in Petri Nets, Grzegorz Rosenberg editor, LNCS 424, Springer-verlag, Berlin, Germany, pp.51–76.
    • (1989) Synchronized Elementary Net Systems , pp. 51-76
    • Andre, C.1
  • 3
    • 33646405808 scopus 로고    scopus 로고
    • La methode des classes d’etats pour Vanalyse des reseaux temporels – raise en oeuvre, extension a la multi-sensibilisation
    • Toulouse, France, October
    • Berthomieu, B. (2001) ‘La methode des classes d’etats pour Vanalyse des reseaux temporels – raise en oeuvre, extension a la multi-sensibilisation’, Proc. Modelisation des Systemes Reactifs, Toulouse, France, October, pp.275–290.
    • (2001) Proc. Modelisation des Systemes Reactifs , pp. 275-290
    • Berthomieu, B.1
  • 5
    • 18944397671 scopus 로고    scopus 로고
    • State class constructions for branching analysis of time petri nets
    • Garavel, H., Hatcliff, J. (Eds.) Warsaw, Poland, April 711 Lecture Notes in Computer Science, February, Springer-Verlag
    • Berthomieu, B. and Vernadat, F. (2003) ‘State class constructions for branching analysis of time petri nets’, Garavel, H., Hatcliff, J. (Eds.): Tools and Algorithms for the Construction and Analysis of Systems (TACAS 2003), 9th International Conference, Part of ETAPS 2003, Warsaw, Poland, April 711, Vol. 2619, Lecture Notes in Computer Science, February, Springer-Verlag, pp.442–457.
    • (2003) Tools and Algorithms for the Construction and Analysis of Systems (TACAS 2003), 9th International Conference, Part of ETAPS 2003 , vol.2619 , pp. 442-457
    • Berthomieu, B.1    Vernadat, F.2
  • 7
    • 49649108124 scopus 로고    scopus 로고
    • Analyse de reseaux de Petri temporels. Calculs des classes en O(n2) et destemps de chemin en O(m x n)
    • September
    • Boucheneb, H. and Mullins, J. (2003) ‘Analyse de reseaux de Petri temporels. Calculs des classes en O(n2) et destemps de chemin en O(m x n)’, Technique et Science Informatiques, Vol. 22, September, No. 4, pp.435–459.
    • (2003) Technique et Science Informatiques , vol.22 , Issue.4 , pp. 435-459
    • Boucheneb, H.1    Mullins, J.2
  • 8
    • 11744303180 scopus 로고
    • Compositional validation of time-critical systems using communicating Time Petri Nets
    • December
    • Bucci, G. and Vicario, E. (1995) ‘Compositional validation of time-critical systems using communicating Time Petri Nets’, IEEE Transactions on Software Engineering, Vol. 21, December, No. 12, pp.969–992.
    • (1995) IEEE Transactions on Software Engineering , vol.21 , Issue.12 , pp. 969-992
    • Bucci, G.1    Vicario, E.2
  • 9
    • 84947253941 scopus 로고    scopus 로고
    • Condensed state spaces for timed Petri Nets
    • Goos, G., Hartmanis, J. and van Leuwen, J. (Eds.) Lecture Notes in Computer Science 2075, Springer, June
    • Christensen, S., Kritensen, L.M. and Mailand, T. (2001) ‘Condensed state spaces for timed Petri Nets’, Goos, G., Hartmanis, J. and van Leuwen, J. (Eds.): 22nd International Conference on Application And Theory Of Petri Nets, Lecture Notes in Computer Science 2075, Springer, June, pp.101–120
    • (2001) 22nd International Conference on Application And Theory Of Petri Nets , pp. 101-120
    • Christensen, S.1    Kritensen, L.M.2    Mailand, T.3
  • 11
    • 84983168495 scopus 로고
    • Time stream Petri Nets a model for timed multimedia information
    • Valette, R. (Ed) Zaragosse (Espagne), 22–24 Juin, Lecture Notes in Computer Sciences 815, Springer Verlag, ISBN 3–540-58152–9
    • Diaz, M. and Senac, P. (1994) ‘Time stream Petri Nets a model for timed multimedia information’, Valette, R. (Ed): 15th International Conference on Application and Theory of Petri Nets, Zaragosse (Espagne), 22–24 Juin, Lecture Notes in Computer Sciences 815, Springer Verlag, ISBN 3–540-58152–9, pp.219–238.
    • (1994) 15th International Conference on Application and Theory of Petri Nets , pp. 219-238
    • Diaz, M.1    Senac, P.2
  • 14
    • 0017001923 scopus 로고
    • Recoverability of communication protocols
    • Merlin, P. and Farber, D.J. (1976) ‘Recoverability of communication protocols’, IEEE Trans, on Communications, Vol. COM-24, pp.1036–1042.
    • (1976) IEEE Trans, on Communications , vol.COM-24 , pp. 1036-1042
    • Merlin, P.1    Farber, D.J.2
  • 15
    • 84947224884 scopus 로고    scopus 로고
    • Abstraction and partial order reductions for checking branching properties of Time Petri Nets
    • LNCS 2075, Springer-Verlag
    • Penczek, W. and Polrola, A. (2001) ‘Abstraction and partial order reductions for checking branching properties of Time Petri Nets’, In Proc. of the Int. Conf. on Applications and Theory of Petri Nets (ICATPN’01), LNCS 2075, Springer-Verlag, pp.323–342.
    • (2001) Proc. of the Int. Conf. on Applications and Theory of Petri Nets (ICATPN’01) , pp. 323-342
    • Penczek, W.1    Polrola, A.2
  • 17
    • 0004176987 scopus 로고
    • PhD Thesis, Standford University.Using inclusion abstraction to construct Atomic State Class Graphs for Time Petri Nets
    • Rokicki, T.G. (1993) Representing and Modeling Digital Circuits, PhD Thesis, Standford University.Using inclusion abstraction to construct Atomic State Class Graphs for Time Petri Nets
    • (1993) Representing and Modeling Digital Circuits
    • Rokicki, T.G.1
  • 20
    • 0035418270 scopus 로고    scopus 로고
    • Static analysis and dynamic steering of time-dependent systems
    • August
    • Vicaro, E. (2001) ‘Static analysis and dynamic steering of time-dependent systems’, IEEE Transactions on Software Engineering, Vol. 2, No. 8, August, pp.728–748.
    • (2001) IEEE Transactions on Software Engineering , vol.2 , Issue.8 , pp. 728-748
    • Vicaro, E.1
  • 21
    • 0032021119 scopus 로고    scopus 로고
    • CTL model checking of time Petri Nets using geometric regions
    • Yoneda, T. and Ryuba, H. (1998) ‘CTL model checking of time Petri Nets using geometric regions’, IEICE Trans., Vol. E81-D, No. 3, pp.297–396.
    • (1998) IEICE Trans. , vol.E81-D , Issue.3 , pp. 297-396
    • Yoneda, T.1    Ryuba, H.2
  • 23
    • 84949688391 scopus 로고    scopus 로고
    • Linear-time Temporal Logic
    • Linear-time Temporal Logic.
  • 24
    • 84949688392 scopus 로고    scopus 로고
    • Computation Tree Logic
    • Computation Tree Logic.
  • 25
    • 84949688393 scopus 로고    scopus 로고
    • The number of its reachable markings is finite
    • The number of its reachable markings is finite.
  • 26
    • 85087537805 scopus 로고    scopus 로고
    • 0 are multi-sets represented by their formal sums
    • 0 are multi-sets represented by their formal sums.
  • 27
    • 84949688395 scopus 로고    scopus 로고
    • A cover of Σ is a collection of non-empty sets whose union contains Σ
    • A cover of Σ is a collection of non-empty sets whose union contains Σ.
  • 28
    • 84949688396 scopus 로고    scopus 로고
    • Min(t ∣F) and Max(t ∣F) are respectively the minimal and maximal value of t in the domain represented by F
    • Min(t ∣F) and Max(t ∣F) are respectively the minimal and maximal value of t in the domain represented by F.
  • 29
    • 84949688397 scopus 로고    scopus 로고
    • The normalisation of a state class completes it with all states reachable by time progression
    • The normalisation of a state class completes it with all states reachable by time progression.
  • 30
    • 84949688398 scopus 로고    scopus 로고
    • The firing of these transitions can be indefinitely delayed since their maximal firing delays are infinite
    • The firing of these transitions can be indefinitely delayed since their maximal firing delays are infinite.
  • 31
    • 84949688399 scopus 로고    scopus 로고
    • Obvious steps are omitted
    • Obvious steps are omitted.
  • 32
    • 84949688400 scopus 로고    scopus 로고
    • Bisimilar classes must also share the same marking
    • Bisimilar classes must also share the same marking.
  • 33
    • 84949688401 scopus 로고    scopus 로고
    • Transitions with the same name are synchronised
    • Transitions with the same name are synchronised.
  • 34
    • 85087536940 scopus 로고    scopus 로고
    • 2
    • 2.
  • 35
    • 84949688403 scopus 로고    scopus 로고
    • The number of its reachable markings is finite
    • The number of its reachable markings is finite.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.