메뉴 건너뛰기




Volumn 7, Issue 1, 2005, Pages

Karp-Miller trees for a branching extension of VASS

Author keywords

Branching vector addition systems; Coverability; Equational tree automata; Karp Miller trees; Multiplicative exponential linear logic

Indexed keywords

ASSOCIATIVE PROCESSING; AUTOMATA THEORY; COMPUTABILITY AND DECIDABILITY; FINITE DIFFERENCE METHOD; VECTORS;

EID: 27744557281     PISSN: 13658050     EISSN: 13658050     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (44)

References (24)
  • 4
    • 20144373910 scopus 로고    scopus 로고
    • Abstraction and resolution modulo AC: How to verify Diffie-Hellman-like protocols automatically
    • [GLRV05] August
    • [GLRV05] Jean Goubault-Larrecq, Muriel Roger, and Kumar Neeraj Verma. Abstraction and resolution modulo AC: How to verify Diffie-Hellman-like protocols automatically. Journal of Logic and Algebraic Programming, 64(2):219-251, August 2005.
    • (2005) Journal of Logic and Algebraic Programming , vol.64 , Issue.2 , pp. 219-251
    • Goubault-Larrecq, J.1    Roger, M.2    Verma, K.N.3
  • 5
    • 18944382537 scopus 로고    scopus 로고
    • Alternating two-way AC-tree automata
    • [GLV02] LSV, ENS Cachan, Cachan, France, September
    • [GLV02] Jean Goubault-Larrecq and Kumar Neeraj Verma. Alternating two-way AC-tree automata. Research Report LSV-02-11, LSV, ENS Cachan, Cachan, France, September 2002.
    • (2002) Research Report , vol.LSV-02-11
    • Goubault-Larrecq, J.1    Verma, K.N.2
  • 6
    • 84972499908 scopus 로고
    • Semigroups, Presburger formulas and languages
    • [GS66]
    • [GS66] Seymour Ginsburg and Edwin H. Spanier. Semigroups, Presburger formulas and languages. Pacific Journal of Mathematic, 16(2):285-296, 1966.
    • (1966) Pacific Journal of Mathematic , vol.16 , Issue.2 , pp. 285-296
    • Ginsburg, S.1    Spanier, E.H.2
  • 7
    • 0000769632 scopus 로고
    • On the reachability problem for 5-dimensional vector addition systems
    • [HP79]
    • [HP79] J. Hopcroft and J. J. Pansiot. On the reachability problem for 5-dimensional vector addition systems. Theoretical Computer Science, 8:135-159, 1979.
    • (1979) Theoretical Computer Science , vol.8 , pp. 135-159
    • Hopcroft, J.1    Pansiot, J.J.2
  • 8
    • 38149148467 scopus 로고
    • Linear logic as a logic of computations
    • [Kan94]
    • [Kan94] Max I. Kanovich. Linear logic as a logic of computations. Annals of Pure and Applied Logic, 67:183-212, 1994.
    • (1994) Annals of Pure and Applied Logic , vol.67 , pp. 183-212
    • Kanovich, M.I.1
  • 9
    • 4544361808 scopus 로고
    • Petri nets, Horn programs, linear logic and vector games
    • [Kan95]
    • [Kan95] Max I. Kanovich. Petri nets, Horn programs, linear logic and vector games. Annals of Pure and Applied Logic, 75:107-135, 1995.
    • (1995) Annals of Pure and Applied Logic , vol.75 , pp. 107-135
    • Kanovich, M.I.1
  • 12
    • 85051533358 scopus 로고
    • Decidability of reachability in vector addition systems
    • [Kos82] ACM
    • [Kos82] S. R. Kosaraju. Decidability of reachability in vector addition systems. In Proc. 14th Symp. Theory of Computing, pages 267-281. ACM, 1982.
    • (1982) Proc. 14th Symp. Theory of Computing , pp. 267-281
    • Kosaraju, S.R.1
  • 13
    • 0026881006 scopus 로고
    • A structure to decide reachability in Petri nets
    • [Lam92]
    • [Lam92] Jean-Luc Lambert. A structure to decide reachability in Petri nets. Theoretical Computer Science, 99:79-104, 1992.
    • (1992) Theoretical Computer Science , vol.99 , pp. 79-104
    • Lambert, J.-L.1
  • 14
    • 35248882451 scopus 로고    scopus 로고
    • Counting and equality constraints for multitree automata
    • [Lug03] Andrew D. Gordon, editor, 6th International Conference on Foundations of Software Science and Computational Structures (FoSSaCS'03), Warsaw, Poland. Springer-Verlag
    • [Lug03] Denis Lugiez. Counting and equality constraints for multitree automata. In Andrew D. Gordon, editor, 6th International Conference on Foundations of Software Science and Computational Structures (FoSSaCS'03), volume 2620 of LNCS, pages 328-342, Warsaw, Poland, 2003. Springer-Verlag.
    • (2003) LNCS , vol.2620 , pp. 328-342
    • Lugiez, D.1
  • 15
    • 0021474508 scopus 로고
    • An algorithm for the general Petri net reachability problem
    • [May84]
    • [May84] E. W. Mayr. An algorithm for the general Petri net reachability problem. SIAM Journal of Computing, 13:441-460, 1984.
    • (1984) SIAM Journal of Computing , vol.13 , pp. 441-460
    • Mayr, E.W.1
  • 16
    • 27744501364 scopus 로고    scopus 로고
    • Reachability is decidable for ground AC rewrite systems
    • [MR98] Aalborg, Denmark
    • [MR98] Richard Mayr and Michaël Rusinowitch. Reachability is decidable for ground AC rewrite systems. In Proceedings of the 3rd INFINITY Workshop, Aalborg, Denmark, 1998.
    • (1998) Proceedings of the 3rd INFINITY Workshop
    • Mayr, R.1    Rusinowitch, M.2
  • 17
    • 84961576652 scopus 로고
    • The reachability problem for VAS
    • [Mü184] Springer-Verlag LNCS 188
    • [Mü184] H. Müller. The reachability problem for VAS. In Advances in Petri nets. Springer-Verlag LNCS 188, 1984.
    • (1984) Advances in Petri Nets
    • Müller, H.1
  • 18
    • 84944240660 scopus 로고    scopus 로고
    • Beyond regularity: Equational tree automata for associative and commutative theories
    • [Ohs01] Laurent Fribourg, editor, 10th Annual Conference of the European Association for Computer Science Logic (CSL'01), Paris, France, September. Springer-Verlag
    • [Ohs01] Hitoshi Ohsaki. Beyond regularity: Equational tree automata for associative and commutative theories. In Laurent Fribourg, editor, 10th Annual Conference of the European Association for Computer Science Logic (CSL'01), volume 2142 of LNCS, pages 539-553, Paris, France, September 2001. Springer-Verlag.
    • (2001) LNCS , vol.2142 , pp. 539-553
    • Ohsaki, H.1
  • 19
    • 0000457926 scopus 로고
    • On context-free languages
    • [Par66] October
    • [Par66] Rohit J. Parikh. On context-free languages. Journal of the ACM, 13(4):570-581, October 1966.
    • (1966) Journal of the ACM , vol.13 , Issue.4 , pp. 570-581
    • Parikh, R.J.1
  • 22
    • 9444253566 scopus 로고    scopus 로고
    • On closure under complementation of equational tree automata for theories extending AC
    • [Ver03b] Moshe Vardi and Andrei Voronkov, editors, 10th International Conference on Logic for Programming Artificial Intelligence and Reasoning (LPAR'03), Almaty, Kazakhstan, September. Springer-Verlag
    • [Ver03b] Kumar Neeraj Verma. On closure under complementation of equational tree automata for theories extending AC. In Moshe Vardi and Andrei Voronkov, editors, 10th International Conference on Logic for Programming Artificial Intelligence and Reasoning (LPAR'03), volume 2850 of LNAI, pages 183-197, Almaty, Kazakhstan, September 2003. Springer-Verlag.
    • (2003) LNAI , vol.2850 , pp. 183-197
    • Verma, K.N.1
  • 23
    • 84947774804 scopus 로고    scopus 로고
    • Two-way equational tree automata for AC-like theories: Decidability and closure properties
    • [Ver03c] Robert Nieuwenhuis, editor, 14th International Conference on Rewriting Techniques and Applications (RTA'03), Valencia, Spain, June. Springer-Verlag
    • [Ver03c] Kumar Neeraj Verma. Two-way equational tree automata for AC-like theories: Decidability and closure properties. In Robert Nieuwenhuis, editor, 14th International Conference on Rewriting Techniques and Applications (RTA'03), volume 2706 of LNCS, pages 180-196, Valencia, Spain, June 2003. Springer-Verlag.
    • (2003) LNCS , vol.2706 , pp. 180-196
    • Verma, K.N.1
  • 24
    • 26944484574 scopus 로고    scopus 로고
    • Karp-Miller trees for a branching extension of VASS
    • [VGL04] LSV, ENS Cachan, France, January
    • [VGL04] Kumar Neeraj Verma and Jean Goubault-Larrecq. Karp-Miller trees for a branching extension of VASS. Research Report LSV-04-3, LSV, ENS Cachan, France, January 2004. Available at http://www.lsv.ens-cachan.fr/Publis/ RAPPORTS_LSV/PS/rr-lsv-2004-3.rr.ps.
    • (2004) Research Report , vol.LSV-04-3
    • Verma, K.N.1    Goubault-Larrecq, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.