메뉴 건너뛰기




Volumn 110, Issue 17, 2010, Pages 740-745

The reachability problem for branching vector addition systems requires doubly-exponential space

Author keywords

Program correctness; Theory of computation

Indexed keywords

DECISION PROBLEMS; FINITE SET; PROGRAM CORRECTNESS; REACHABILITY PROBLEM; THEORY OF COMPUTATION; VECTOR ADDITION SYSTEMS;

EID: 77954080079     PISSN: 00200190     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ipl.2010.06.008     Document Type: Article
Times cited : (7)

References (16)
  • 2
    • 0041151950 scopus 로고
    • Decidability issues for Petri nets - A survey
    • J. Esparza, and M. Nielsen Decidability issues for Petri nets - a survey Bull. EATCS 52 1994 244 262
    • (1994) Bull. EATCS , vol.52 , pp. 244-262
    • Esparza, J.1    Nielsen, M.2
  • 3
    • 0003945252 scopus 로고    scopus 로고
    • The reachability problem requires exponential space
    • Dep. Comput. Sci., Yale Univ. (January 1976)
    • R.J. Lipton, The reachability problem requires exponential space, Tech. Rep. 62, Dep. Comput. Sci., Yale Univ. (January 1976)
    • Tech. Rep. , vol.62
    • Lipton, R.J.1
  • 5
    • 0021474508 scopus 로고
    • An algorithm for the general Petri net reachability problem
    • E.W. Mayr An algorithm for the general Petri net reachability problem SIAM J. Comput. 13 3 1984 441 460
    • (1984) SIAM J. Comput. , vol.13 , Issue.3 , pp. 441-460
    • Mayr, E.W.1
  • 6
    • 85051533358 scopus 로고
    • Decidability of reachability in vector addition systems
    • R. Kosaraju, Decidability of reachability in vector addition systems, in: STOC, 1982, pp. 267-281
    • (1982) STOC , pp. 267-281
    • Kosaraju, R.1
  • 7
    • 0026881006 scopus 로고
    • A structure to decide reachability in Petri nets
    • J.-L. Lambert A structure to decide reachability in Petri nets Theoretical Comput. Sci. 99 1 1992 79 104
    • (1992) Theoretical Comput. Sci. , vol.99 , Issue.1 , pp. 79-104
    • Lambert, J.-L.1
  • 8
    • 70350610958 scopus 로고    scopus 로고
    • The general vector addition system reachability problem by Presburger inductive invariants
    • J. Leroux, The general vector addition system reachability problem by Presburger inductive invariants, in: LICS, IEEE Comput. Soc., 2009, pp. 4-13
    • (2009) LICS, IEEE Comput. Soc. , pp. 4-13
    • Leroux, J.1
  • 9
    • 85149109166 scopus 로고
    • Multiset-valued linear index grammars: Imposing dominance constraints on derivations
    • Morgan Kaufmann
    • O. Rambow Multiset-valued linear index grammars: imposing dominance constraints on derivations ACL 1994 Morgan Kaufmann 263 270
    • (1994) ACL , pp. 263-270
    • Rambow, O.1
  • 13
    • 69149106672 scopus 로고    scopus 로고
    • Two-variable logic on data trees and XML reasoning
    • M. Bojańczyk, A. Muscholl, T. Schwentick, L. Segoufin, Two-variable logic on data trees and XML reasoning, J. ACM 56 (3)
    • J. ACM , vol.56 , pp. 3
    • M. Bojańczyk1
  • 14
    • 77955323583 scopus 로고    scopus 로고
    • The covering and boundedness problems for branching vector addition systems
    • Schloss Dagstuhl
    • S. Demri, M. Jurdziński, O. Lachish, and R. Lazić The covering and boundedness problems for branching vector addition systems FSTTCS LIPIcs vol. 4 2009 Schloss Dagstuhl 181 192
    • (2009) LIPIcs , vol.4 , pp. 181-192
    • Demri, S.1    Jurdziński, M.2    Lachish, O.3    Lazić, R.4
  • 15
    • 0010225535 scopus 로고    scopus 로고
    • Decidability and complexity of Petri net problems - An introduction
    • Springer
    • J. Esparza Decidability and complexity of Petri net problems - an introduction Lectures on Petri Nets I: Basic Models Lect. Notes Comput. Sci. vol. 1491 1998 Springer 374 428
    • (1998) Lect. Notes Comput. Sci. , vol.1491 , pp. 374-428
    • Esparza, J.1
  • 16
    • 0000660737 scopus 로고
    • The covering and boundedness problems for vector addition systems
    • C. Rackoff The covering and boundedness problems for vector addition systems Theor. Comput. Sci. 6 2 1978 223 231
    • (1978) Theor. Comput. Sci. , vol.6 , Issue.2 , pp. 223-231
    • Rackoff, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.