메뉴 건너뛰기




Volumn 170, Issue 2, 2001, Pages 207-236

Functorial models for Petri nets

Author keywords

Collective individual token philosophy; Concurrent transition systems; Configuration structures; Monoidal categories; Partial membership equational logic; Pre nets; PT Petri nets

Indexed keywords

ALGEBRA; CONCURRENT ENGINEERING; PETRI NETS; SEMANTICS;

EID: 0035526654     PISSN: 08905401     EISSN: None     Source Type: Journal    
DOI: 10.1006/inco.2001.3050     Document Type: Article
Times cited : (31)

References (36)
  • 1
    • 84887481983 scopus 로고    scopus 로고
    • General morphisms of Petri nets
    • "Proceedings of ICALP'99, 26th International Colloquim on Automata. Languages and Programming" (J. Wiedermann, P. van Erode Boas, and M. Nielsen. Eds.), Springer-Verlag, Berlin
    • Bednarczyk, M. A., and Borzyszkowski, A. M. (1999), General morphisms of Petri nets, in "Proceedings of ICALP'99, 26th International Colloquim on Automata. Languages and Programming" (J. Wiedermann, P. van Erode Boas, and M. Nielsen. Eds.), Lecture Notes in Computer Science. Vol. 1644, pp. 190-199, Springer-Verlag, Berlin.
    • (1999) Lecture Notes in Computer Science , vol.1644 , pp. 190-199
    • Bednarczyk, M.A.1    Borzyszkowski, A.M.2
  • 2
    • 0016507066 scopus 로고
    • The basic algebraic structures in categories of derivations
    • Benson, D. B. ( 1975 ). The basic algebraic structures in categories of derivations, Inform. and Control 28, 1-29.
    • (1975) Inform. and Control , vol.28 , pp. 1-29
    • Benson, D.B.1
  • 3
    • 0023452605 scopus 로고
    • Sequential and concurrent behaviour in Petri net theory
    • Best, E., and Devillers, R. (1987), Sequential and concurrent behaviour in Petri net theory, Theoret. Comput. Sci. 55, 87-136.
    • (1987) Theoret. Comput. Sci. , vol.55 , pp. 87-136
    • Best, E.1    Devillers, R.2
  • 4
  • 7
    • 84947914358 scopus 로고    scopus 로고
    • A comparison of Petri net semantics under the collective token philosophy
    • "Proceedings of ASIAN'98, 4th Asian Computing Science Conference" (J. Hsiang and A. Ohori, Eds.), Springer Verlag, Berlin
    • Brunt, R., Meseguer. J., Montanari, U., and Sassone, V. (1998), A comparison of Petri net semantics under the collective token philosophy, in "Proceedings of ASIAN'98, 4th Asian Computing Science Conference" (J. Hsiang and A. Ohori, Eds.), Lecture Notes in Computer Science, Vol. 1358, pp. 225-244, Springer Verlag, Berlin.
    • (1998) Lecture Notes in Computer Science , vol.1358 , pp. 225-244
    • Brunt, R.1    Meseguer, J.2    Montanari, U.3    Sassone, V.4
  • 8
    • 18944375963 scopus 로고    scopus 로고
    • Functorial semantics for Petri nets under the individual token philosophy
    • "Proceedings of CTCS'99, 8th Conference on Category Theory and Computer Science" (M. Hofmann, G. Rosolini, and D. Pavlovic, Eds.), Elsevier, Amsterdam/New York
    • Bruni, R., Meseguer, J., Montanari, U., and Sassone, V. (1999), Functorial semantics for Petri nets under the individual token philosophy, in "Proceedings of CTCS'99, 8th Conference on Category Theory and Computer Science" (M. Hofmann, G. Rosolini, and D. Pavlovic, Eds.), Electronic Notes in Theoretic Computer Science, Vol. 29, Elsevier, Amsterdam/New York.
    • (1999) Electronic Notes in Theoretic Computer Science , vol.29
    • Bruni, R.1    Meseguer, J.2    Montanari, U.3    Sassone, V.4
  • 11
    • 0030523615 scopus 로고    scopus 로고
    • Axiomatizing the algebra of net computations and processes
    • Degano, P., Meseguer, J., and Montanari, U. (1996), Axiomatizing the algebra of net computations and processes, Acta Inform. 33, 641-667.
    • (1996) Acta Inform. , vol.33 , pp. 641-667
    • Degano, P.1    Meseguer, J.2    Montanari, U.3
  • 12
    • 0011028560 scopus 로고
    • Lokal präsentierbare Kategorien
    • Springer-Verlag, Berlin
    • Gabriel, P., and Ulmer, F. (1971), "Lokal präsentierbare Kategorien," Lecture Notes in Mathematics, Vol. 221, Springer-Verlag, Berlin.
    • (1971) Lecture Notes in Mathematics , vol.221
    • Gabriel, P.1    Ulmer, F.2
  • 14
    • 0020746487 scopus 로고
    • The non-sequential behaviour of Petri nets
    • Goltz, U., and Reisig, W. (1983), The non-sequential behaviour of Petri nets, Inform. and Comput. 57, 125-147.
    • (1983) Inform. and Comput. , vol.57 , pp. 125-147
    • Goltz, U.1    Reisig, W.2
  • 16
    • 0000290331 scopus 로고
    • Eine algebraisierung des syntheseproblemen von schaltkreisen. I and II
    • Hotz, G. (1965), Eine algebraisierung des syntheseproblemen von schaltkreisen. I and II, Elektronische Informationverar-beitung und Kybernetik 1, 185-205: 209-231.
    • (1965) Elektronische Informationverar-Beitung und Kybernetik , vol.1 , pp. 185-205
    • Hotz, G.1
  • 17
    • 0002999021 scopus 로고
    • Some algebraic problems in the context of functorial semanties of algebraic theories
    • "Proceedings of the Midwest Category Seminar 11," Springer-Verlag, Berlin
    • Lawvere, F. W. (1968), Some algebraic problems in the context of functorial semanties of algebraic theories, in "Proceedings of the Midwest Category Seminar 11," Lecture Notes in Mathematics, Vol. 61, pp. 41-61, Springer-Verlag, Berlin.
    • (1968) Lecture Notes in Mathematics , vol.61 , pp. 41-61
    • Lawvere, F.W.1
  • 18
    • 84947920422 scopus 로고
    • A logic for distributed transition systems
    • "Linear Time. Branching Time, and Partial Order in Logics and Models for Concurrency" (J. W. de Bakker, W. P. de Roever, and G. Rozenberg, Eds.), Springer-Verlag. Berlin
    • Lodaya, K., Ramanujam, R., and Thiagarajan, P. S. (1989), A logic for distributed transition systems, in "Linear Time, Branching Time, and Partial Order in Logics and Models for Concurrency" (J. W. de Bakker, W. P. de Roever, and G. Rozenberg, Eds.), Lecture Notes in Computer Science, Vol. 354, pp. 508-522, Springer-Verlag, Berlin.
    • (1989) Lecture Notes in Computer Science , vol.354 , pp. 508-522
    • Lodaya, K.1    Ramanujam, R.2    Thiagarajan, P.S.3
  • 20
    • 84957873927 scopus 로고    scopus 로고
    • Membership algebra as a logical framework for equational specification
    • "Proceedings of WADT'97, 12th Workshop on Recent Trends in Algebraic Development Techniques" (F. Parisi-Presicce, Ed.), Springer-Verlag, Berlin
    • Meseguer, J. (1998), Membership algebra as a logical framework for equational specification, in "Proceedings of WADT'97, 12th Workshop on Recent Trends in Algebraic Development Techniques" (F. Parisi-Presicce, Ed.), Lecture Notes in Computer Science, Vol. 1376, pp. 18-61, Springer-Verlag, Berlin.
    • (1998) Lecture Notes in Computer Science , vol.1376 , pp. 18-61
    • Meseguer, J.1
  • 22
    • 84957880351 scopus 로고    scopus 로고
    • Mapping tile logic into rewriting logic
    • "Proceedings of WADT'97, 12th Workshop on Recent Trends in Algebraic Development Techniques" (F. Parisi-Presicce, Ed.), Springer-Verlag, Berlin
    • Meseguer, J., and Montanari, U. (1998), Mapping tile logic into rewriting logic, in "Proceedings of WADT'97, 12th Workshop on Recent Trends in Algebraic Development Techniques" (F. Parisi-Presicce, Ed.), Lecture Notes in Computer Science, Vol. 1376, pp. 62-91, Springer-Verlag, Berlin.
    • (1998) Lecture Notes in Computer Science , vol.1376 , pp. 62-91
    • Meseguer, J.1    Montanari, U.2
  • 23
    • 0030574512 scopus 로고    scopus 로고
    • Process versus unfolding semantics for place/transition Petri nets
    • Meseguer, J., Montanari, U., and Sassone, V. (1996), Process versus unfolding semantics for place/transition Petri nets, Theoret. Computer Science 153, 171-210.
    • (1996) Theoret. Computer Science , vol.153 , pp. 171-210
    • Meseguer, J.1    Montanari, U.2    Sassone, V.3
  • 24
    • 0009957327 scopus 로고    scopus 로고
    • Representation theorems for Petri nets
    • "Foundations of Computer Science: Potential Theory-Cognition, to Wilfried Brauer on the Occasion of His Sixtieth Birthday" (Ch. Freksa, M. Jantzen, and R. Valk, Eds.), Springer-Verlag, Berlin
    • Meseguer, J., Montanari, U., and Sassone, V. (1997), Representation theorems for Petri nets, in "Foundations of Computer Science: Potential Theory-Cognition, to Wilfried Brauer on the Occasion of His Sixtieth Birthday" (Ch. Freksa, M. Jantzen, and R. Valk, Eds.), Lecture Notes in Computer Science, Vol. 1337, pp. 239-249, Springer-Verlag, Berlin.
    • (1997) Lecture Notes in Computer Science , vol.1337 , pp. 239-249
    • Meseguer, J.1    Montanari, U.2    Sassone, V.3
  • 25
    • 0005290139 scopus 로고    scopus 로고
    • Equivalences among various logical frameworks of partial algebras
    • "Proceedings of CSL'95, 9th International Workshop on Computer Science Logic" (H. Kleine Büning, Ed.), Springer-Verlag, Berlin
    • Mossakowski, T. (1996), Equivalences among various logical frameworks of partial algebras, in "Proceedings of CSL'95, 9th International Workshop on Computer Science Logic" (H. Kleine Büning, Ed.), Lecture Notes in Computer Science, Vol. 1092. pp. 403-433, Springer-Verlag, Berlin.
    • (1996) Lecture Notes in Computer Science , vol.1092 , pp. 403-433
    • Mossakowski, T.1
  • 26
    • 0000873334 scopus 로고
    • Petri nets and step transition systems
    • Mukund, M. (1992), Petri nets and step transition systems, Internat J. Found. Comput. Sci. 3, 443-478.
    • (1992) Internat J. Found. Comput. Sci. , vol.3 , pp. 443-478
    • Mukund, M.1
  • 27
    • 49149133619 scopus 로고
    • Petri nets. Event structures and domains, part I
    • Nielsen, M., Plotkin, G., and Winskel, G. (1981), Petri Nets. Event Structures and Domains, Part I, Theoret. Comput. Sci. 13, 85-108.
    • (1981) Theoret. Comput. Sci. , vol.13 , pp. 85-108
    • Nielsen, M.1    Plotkin, G.2    Winskel, G.3
  • 29
    • 0004068620 scopus 로고
    • Ph.D. thesis, Institut für Instrumentelle Mathematik, Bonn
    • Petri, C. A. (1962), "Kommunikation mit Automaten," Ph.D. thesis, Institut für Instrumentelle Mathematik, Bonn.
    • (1962) Kommunikation mit Automaten
    • Petri, C.A.1
  • 30
    • 0003658204 scopus 로고
    • Algebra Berichte 20, Department of Mathematics, University of Munich
    • Pfender, M. (1974), "Universal Algebra in s-Monoidal Categories," Algebra Berichte 20, Department of Mathematics, University of Munich.
    • (1974) Universal Algebra in s-Monoidal Categories
    • Pfender, M.1
  • 31
    • 85034737111 scopus 로고
    • Algebra categorically
    • "Category Theory and Computer Programming" (D. Pitt, S. Abramsky, A. Poigné, and D. Rydeheard, Eds.), Springer-Verlag, Berlin
    • Poigné A. (1985), Algebra categorically, in "Category Theory and Computer Programming" (D. Pitt, S. Abramsky, A. Poigné, and D. Rydeheard, Eds.), Lecture Notes in Computer Science, Vol. 240, pp. 76-102, Springer-Verlag, Berlin.
    • (1985) Lecture Notes in Computer Science , vol.240 , pp. 76-102
    • Poigné, A.1
  • 33
    • 0030400432 scopus 로고    scopus 로고
    • An axiomatization of the algebra of Petri net concatenable processes
    • Sassone, V. (1996), An axiomatization of the algebra of Petri net concatenable processes, Theoret. Comput. Science 170, 277-296.
    • (1996) Theoret. Comput. Science , vol.170 , pp. 277-296
    • Sassone, V.1
  • 34
    • 84974615662 scopus 로고    scopus 로고
    • An axiomatization of the category of Petri net computations
    • Sassone, V. (1998), An axiomatization of the category of Petri net computations, Math. Struct. Comput. Sci. 8, 117-151.
    • (1998) Math. Struct. Comput. Sci. , vol.8 , pp. 117-151
    • Sassone, V.1
  • 35
    • 45949126084 scopus 로고
    • Petri nets, algebras, morphisms and compositionality
    • Winskel, G. (1987), Petri nets, algebras, morphisms and compositionality, Inform. and Comput. 72, 197-238.
    • (1987) Inform. and Comput. , vol.72 , pp. 197-238
    • Winskel, G.1
  • 36
    • 85029715012 scopus 로고
    • An introduction to event structures
    • "Linear Time, Branching Time and Partial Order in Logics and Models for Concurrency" (J. W. de Bakker, W.-P. de Roever, and G. Rozenberg, Eds.), Springer-Verlag, Berlin
    • Winskel, G. (1988), An introduction to event structures, in "Linear Time, Branching Time and Partial Order in Logics and Models for Concurrency" (J. W. de Bakker, W.-P. de Roever, and G. Rozenberg, Eds.), Lecture Notes in Computer Science. Vol. 534, pp. 364-397, Springer-Verlag, Berlin.
    • (1988) Lecture Notes in Computer Science , vol.534 , pp. 364-397
    • Winskel, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.