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Volumn 91, Issue 2, 2009, Pages 275-303

Flat parametric counter automata

Author keywords

Counter machines; Diophantine systems; Reachability problems

Indexed keywords

DIGITAL ARITHMETIC; FORMAL LOGIC;

EID: 67651236917     PISSN: 01692968     EISSN: None     Source Type: Journal    
DOI: 10.3233/FI-2009-0044     Document Type: Article
Times cited : (30)

References (22)
  • 1
    • 0010360877 scopus 로고    scopus 로고
    • TreX: A Tool for Reachability Analysis of Complex Systems
    • Springer
    • Annichini, A., Bouajjani, A., M.Sighireanu: TreX: A Tool for Reachability Analysis of Complex Systems, Proc.CAV, 2102, Springer, 2001.
    • (2001) Proc.CAV , vol.2102
    • Annichini, A.1    Bouajjani, A.2    Sighireanu, M.3
  • 2
    • 33746349202 scopus 로고    scopus 로고
    • FAST: Fast Accelereation of Symbolic Transition systems
    • Springer
    • Bardin, S., Finkel, A., Leroux, J., Petrucci, L.: FAST: Fast Accelereation of Symbolic Transition systems, Proc. TACAS, 2725, Springer, 2004.
    • (2004) Proc. TACAS , vol.2725
    • Bardin, S.1    Finkel, A.2    Leroux, J.3    Petrucci, L.4
  • 3
    • 0242692667 scopus 로고    scopus 로고
    • On Iterating Linear Transformations over Recognizable Sets of Integers
    • Boigelot, B.: On Iterating Linear Transformations over Recognizable Sets of Integers, TCS, 309(2), 2003, 413-468.
    • (2003) TCS , vol.309 , Issue.2 , pp. 413-468
    • Boigelot, B.1
  • 4
    • 0000954072 scopus 로고
    • An unsolvable problem of elementary number theory
    • Church, A.: An unsolvable problem of elementary number theory, American Journal of Mathematics, 58, 1936, 345 - 363.
    • (1936) American Journal of Mathematics , vol.58 , pp. 345-363
    • Church, A.1
  • 5
    • 84863901157 scopus 로고    scopus 로고
    • Multiple Counters Automata, Safety Analysis and Presburger Arithmetic
    • Springer
    • Comon, H., Jurski, Y.: Multiple Counters Automata, Safety Analysis and Presburger Arithmetic, Proc. CAV, 1427, Springer, 1998.
    • (1998) Proc. CAV , vol.1427
    • Comon, H.1    Jurski, Y.2
  • 6
    • 0032642997 scopus 로고    scopus 로고
    • Efficient Algorithms for Optimum Cycle Mean and Optimum Cost to Time Ratio Problems
    • Dasdan, A., Irani, S., Gupta, R. K.: Efficient Algorithms for Optimum Cycle Mean and Optimum Cost to Time Ratio Problems, Design Automation Conference, 1999.
    • (1999) Design Automation Conference
    • Dasdan, A.1    Irani, S.2    Gupta, R.K.3
  • 7
    • 18744397402 scopus 로고    scopus 로고
    • How to compose Presburger-accelerations: Applications to broadcast protocols
    • Springer
    • Finkel, A., Leroux, J.: How to compose Presburger-accelerations: Applications to broadcast protocols, Proc. FST&TCS, 2556, Springer, 2002.
    • (2002) Proc. FST&TCS , vol.2556
    • Finkel, A.1    Leroux, J.2
  • 8
    • 84972499908 scopus 로고
    • Semigroups, Presburger Formulas and Languages
    • Ginsburg, S., Spanier, E. H.: Semigroups, Presburger Formulas and Languages, Pacific Journal of Mathematics, 16(2), 1966, 285-296.
    • (1966) Pacific Journal of Mathematics , vol.16 , Issue.2 , pp. 285-296
    • Ginsburg, S.1    Spanier, E.H.2
  • 9
    • 34347193348 scopus 로고
    • Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I
    • Gödel, K.: Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I, Monatshefte für Mathematik und Physik, 38, 1931, 173 - 198.
    • (1931) Monatshefte für Mathematik und Physik , vol.38 , pp. 173-198
    • Gödel, K.1
  • 11
    • 67651203632 scopus 로고
    • Mathematische Probleme. Vortrag
    • Paris, Nachrichten von der Königliche Gesellschaft der Wissenschaften zu Göttingen
    • Hilbert, D.: Mathematische Probleme. Vortrag, gehalten auf dem internationalen Mathematiker-Kongress zu Paris, Nachrichten von der Königliche Gesellschaft der Wissenschaften zu Göttingen, 1900.
    • (1900) gehalten auf dem internationalen Mathematiker-Kongress zu
    • Hilbert, D.1
  • 12
    • 84976713661 scopus 로고
    • Reversal-Bounded Multicounter Machines and Their Decision Problems
    • January
    • Ibarra, O. H.: Reversal-Bounded Multicounter Machines and Their Decision Problems, Journal of the Association for Computing Machinery, 25(1), January 1978, 116 - 133.
    • (1978) Journal of the Association for Computing Machinery , vol.25 , Issue.1 , pp. 116-133
    • Ibarra, O.H.1
  • 13
    • 32644447080 scopus 로고    scopus 로고
    • On the Solvability of a Class of Diophantine Equations and Applications
    • Ibarra, O. H., Dang, Z.: On the Solvability of a Class of Diophantine Equations and Applications, Theoretical Computer Science, 352, 2006, 342 - 346.
    • (2006) Theoretical Computer Science , vol.352 , pp. 342-346
    • Ibarra, O.H.1    Dang, Z.2
  • 14
    • 0029244263 scopus 로고
    • New Decidability Results Concerning Two-way Counter Machines
    • February
    • Ibarra, O. H., Jiang, T., Tran, N., Wang, H.: New Decidability Results Concerning Two-way Counter Machines, SIAM J. Comput., 24(1), February 1995, 123-137.
    • (1995) SIAM J. Comput , vol.24 , Issue.1 , pp. 123-137
    • Ibarra, O.H.1    Jiang, T.2    Tran, N.3    Wang, H.4
  • 15
    • 35048835694 scopus 로고    scopus 로고
    • On flatness for 2-dimensional vector addition systems with states
    • Springer
    • Leroux, J., Sutre, G.: On flatness for 2-dimensional vector addition systems with states, Proc. CONCUR, 3170, Springer, 2004.
    • (2004) Proc. CONCUR , vol.3170
    • Leroux, J.1    Sutre, G.2
  • 17
    • 67651246169 scopus 로고    scopus 로고
    • Personal communication
    • Matiyasevich, Y.: Personal communication, 2005.
    • (2005)
    • Matiyasevich, Y.1
  • 19
    • 33746376245 scopus 로고
    • Solutions minimales des systemes diophantiens lineaires: Bornes et algorithmes
    • Technical Report 1292, INRIA Sophia Antipolis
    • Pottier, L.: Solutions minimales des systemes diophantiens lineaires: bornes et algorithmes, Technical Report 1292, INRIA Sophia Antipolis, 1990.
    • (1990)
    • Pottier, L.1
  • 21
    • 0002811761 scopus 로고
    • Extensions of some theorems of Gödel and Church
    • Rosser, B.: Extensions of some theorems of Gödel and Church, The Journal of Symbolic Logic, 1, 1936, 87 - 91.
    • (1936) The Journal of Symbolic Logic , vol.1 , pp. 87-91
    • Rosser, B.1
  • 22
    • 84863906620 scopus 로고    scopus 로고
    • Verifying Systems with Infinite but Regular State Spaces
    • Springer
    • Wolper, P., Boigelot, B.: Verifying Systems with Infinite but Regular State Spaces, Proc. CAV, 1427, Springer, 1998.
    • (1998) Proc. CAV , vol.1427
    • Wolper, P.1    Boigelot, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.