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Volumn 2005, Issue , 2005, Pages 531-540

Safraless decision procedures

Author keywords

[No Author keywords available]

Indexed keywords

PARITY TREE AUTOMATA; SYMBOLIC IMPLEMENTATION; TREE MODELS;

EID: 33748585198     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SFCS.2005.66     Document Type: Conference Paper
Times cited : (223)

References (51)
  • 1
    • 70350098746 scopus 로고
    • Weak second-order arithmetic and fi nite automata
    • J. Büchi. Weak second-order arithmetic and fi nite automata. Zeit. Math. Logik und Grundl. Math., 6:66-92, 1960.
    • (1960) Zeit. Math. Logik und Grundl. Math. , vol.6 , pp. 66-92
    • Büchi, J.1
  • 3
    • 35048895993 scopus 로고    scopus 로고
    • A measured collapse of the modal μ-calculus alternation hierarchy
    • LNCS 2996
    • D. Bustan, O. Kupferman, and M. Vardi. A measured collapse of the modal μ-calculus alternation hierarchy. In Proc. 21st STACS, LNCS 2996, pages 522-533, 2004.
    • (2004) Proc. 21st STACS , pp. 522-533
    • Bustan, D.1    Kupferman, O.2    Vardi, M.3
  • 4
    • 0016048965 scopus 로고
    • Theories of automata on ω-tapes: A simplifi ed approach
    • Y. Choueka. Theories of automata on ω-tapes: A simplifi ed approach. JCSS, 8:117-141, 1974.
    • (1974) JCSS , vol.8 , pp. 117-141
    • Choueka, Y.1
  • 5
    • 84863894209 scopus 로고    scopus 로고
    • Mona 1.x: New techniques for WS1S and WS2S
    • LNCS 1427
    • J. Elgaard, N. Klarlund, and A. Möller. Mona 1.x: new techniques for WS1S and WS2S. In Proc. 10th CAV, LNCS 1427, pages 516-520, 1998.
    • (1998) Proc. 10th CAV , pp. 516-520
    • Elgaard, J.1    Klarlund, N.2    Möller, A.3
  • 6
    • 84944056157 scopus 로고
    • Decision problems of fi nite-automata design and related arithmetics
    • C. Elgot. Decision problems of fi nite-automata design and related arithmetics. Trans. Amer. Math. Soc., 98:21-51, 1961.
    • (1961) Trans. Amer. Math. Soc. , vol.98 , pp. 21-51
    • Elgot, C.1
  • 7
    • 85035132498 scopus 로고
    • Automata, tableaux, and temporal logics
    • LNCS 193
    • E. Emerson. Automata, tableaux, and temporal logics. In Proc. WLOP, LNCS 193, pages 79-87, 1985.
    • (1985) Proc. WLOP , pp. 79-87
    • Emerson, E.1
  • 8
    • 0024141507 scopus 로고
    • The complexity of tree automata and logics of programs
    • E. Emerson and C. Jutla. The complexity of tree automata and logics of programs. In 29th FOCS, pages 328-337, 1988.
    • (1988) 29th FOCS , pp. 328-337
    • Emerson, E.1    Jutla, C.2
  • 9
    • 0026368952 scopus 로고
    • Tree automata, μ-calculus and determinacy
    • E. Emerson and C. Jutla. Tree automata, μ-calculus and determinacy. In Proc. 32nd FOCS, pages 368-377, 1991.
    • (1991) Proc. 32nd FOCS , pp. 368-377
    • Emerson, E.1    Jutla, C.2
  • 10
    • 84934309599 scopus 로고    scopus 로고
    • Symbolic refi nement checking with nondeterministic BDDs
    • LNCS 2031
    • B. Finkbeiner. Symbolic refi nement checking with nondeterministic BDDs. In Proc. 7th TACAS, LNCS 2031, 2001.
    • (2001) Proc. 7th TACAS
    • Finkbeiner, B.1
  • 11
    • 35048814200 scopus 로고    scopus 로고
    • Büchi complementation made tighter
    • LNCS 3299
    • E. Friedgut, O. Kupferman, and M. Vardi. Büchi complementation made tighter. In Proc. 2nd ATVA, LNCS 3299, pages 64-78, 2004.
    • (2004) Proc. 2nd ATVA , pp. 64-78
    • Friedgut, E.1    Kupferman, O.2    Vardi, M.3
  • 12
    • 35248850820 scopus 로고    scopus 로고
    • Constructing Büchi automata from linear temporal logic using simulation relations for alternating bchi automata
    • LNCS 2759
    • C. Fritz. Constructing Büchi automata from linear temporal logic using simulation relations for alternating bchi automata. In Proc. 8th Intl. Conference on Implementation and Application of Automata, LNCS 2759, pages 35-48, 2003.
    • (2003) Proc. 8th Intl. Conference on Implementation and Application of Automata , pp. 35-48
    • Fritz, C.1
  • 13
    • 84877785292 scopus 로고    scopus 로고
    • State space reductions for alternating Büchi automata: Quotienting by simulation equivalences
    • LNCS 2556
    • C. Fritz and T. Wilke. State space reductions for alternating Büchi automata: Quotienting by simulation equivalences. In Proc. 22th FST&TCS, LNCS 2556, pages 157-169, 2002.
    • (2002) Proc. 22th FST&TCS , pp. 157-169
    • Fritz, C.1    Wilke, T.2
  • 14
    • 33748604675 scopus 로고
    • Applications of trees to intermediate logics i
    • D. Gabbay. Applications of trees to intermediate logics i. J. Symbolic Logic, 37:135-138, 1972.
    • (1972) J. Symbolic Logic , vol.37 , pp. 135-138
    • Gabbay, D.1
  • 15
    • 0005452623 scopus 로고
    • Concept languages with number restrictions and fi xpoints, and its relationship with μ-calculus
    • John Wiley and Sons
    • G. D. Giacomo and M. Lenzerini. Concept languages with number restrictions and fi xpoints, and its relationship with μ-calculus. In Proc. 11th ECAI-94, pages 411-415. John Wiley and Sons, 1994.
    • (1994) Proc. 11th ECAI-94 , pp. 411-415
    • Giacomo, G.D.1    Lenzerini, M.2
  • 16
    • 0142214508 scopus 로고    scopus 로고
    • On complementing nondeterministic Büchi automata
    • LNCS 2860
    • S. Gurumurthy, O. Kupferman, F. Somenzi, and M. Vardi. On complementing nondeterministic Büchi automata. In 12th CHARME, LNCS 2860, pages 96-110, 2003.
    • (2003) 12th CHARME , pp. 96-110
    • Gurumurthy, S.1    Kupferman, O.2    Somenzi, F.3    Vardi, M.4
  • 17
    • 24644435078 scopus 로고    scopus 로고
    • A new algorithm for strategy synthesis in 111 games
    • LNCS 3440
    • A. Harding, M. Ryan, and P. Schobbens. A new algorithm for strategy synthesis in 111 games. In Proc. 11th TACAS, LNCS 3440, pages 477-492, 2005.
    • (2005) Proc. 11th TACAS , pp. 477-492
    • Harding, A.1    Ryan, M.2    Schobbens, P.3
  • 18
    • 84944078394 scopus 로고    scopus 로고
    • Small progress measures for solving parity games
    • LNCS 1770
    • M. Jurdzinski. Small progress measures for solving parity games. In 17th STACS, LNCS 1770, pages 290-301, 2000.
    • (2000) 17th STACS , pp. 290-301
    • Jurdzinski, M.1
  • 19
    • 49049126479 scopus 로고
    • Results on the prepositional/μ-calculus
    • D. Kozen. Results on the prepositional/μ-calculus. Theoretical Computer Science, 27:333-354, 1983.
    • (1983) Theoretical Computer Science , vol.27 , pp. 333-354
    • Kozen, D.1
  • 20
    • 85034599450 scopus 로고
    • A decision procedure for the propositional μ-calculus
    • LNCS 164
    • D. Kozen and R. Parikh. A decision procedure for the propositional μ-calculus. In Logics of Programs, LNCS 164, pages 313-325, 1984.
    • (1984) Logics of Programs , pp. 313-325
    • Kozen, D.1    Parikh, R.2
  • 21
    • 0031643579 scopus 로고    scopus 로고
    • Weak alternating automata and tree automata emptiness
    • O. Kupferman and M. Vardi. Weak alternating automata and tree automata emptiness. In Proc. 30th STOC, pages 224-233, 1998.
    • (1998) Proc. 30th STOC , pp. 224-233
    • Kupferman, O.1    Vardi, M.2
  • 22
    • 0001667648 scopus 로고    scopus 로고
    • An automatatheoretic approach to branching-time model checking
    • March
    • O. Kupferman, M. Vardi, and P. Wolper. An automatatheoretic approach to branching-time model checking. Journal of the ACM, 47(2):312-360, March 2000.
    • (2000) Journal of the ACM , vol.47 , Issue.2 , pp. 312-360
    • Kupferman, O.1    Vardi, M.2    Wolper, P.3
  • 23
    • 70350683418 scopus 로고    scopus 로고
    • Weak alternating automata are not that weak
    • O. Kupferman and M. Vardi. Weak alternating automata are not that weak. ACM TOCL, 2(3):408-429, 2001.
    • (2001) ACM TOCL , vol.2 , Issue.3 , pp. 408-429
    • Kupferman, O.1    Vardi, M.2
  • 24
    • 24644516273 scopus 로고    scopus 로고
    • Complementation constructions for nondeterministic automata on infi nite words
    • LNCS 3440
    • O. Kupferman and M. Vardi. Complementation constructions for nondeterministic automata on infi nite words. In Proc. 11th TACAS, LNCS 3440, pages 206-221, 2005.
    • (2005) Proc. 11th TACAS , pp. 206-221
    • Kupferman, O.1    Vardi, M.2
  • 25
    • 24644456442 scopus 로고    scopus 로고
    • Weak alternating automata in Isabelle/HOL
    • LNCS 1869
    • S. Merz. Weak alternating automata in Isabelle/HOL. In Proc. 13th TPHOL, LNCS 1869, pages 423-440, 2000.
    • (2000) Proc. 13th TPHOL , pp. 423-440
    • Merz, S.1
  • 26
    • 0000553440 scopus 로고
    • Weak monadic second order theory of successor is not elementary recursive
    • LNM 453
    • A. R. Meyer. Weak monadic second order theory of successor is not elementary recursive. In Proc. Logic Colloquium, LNM 453, pages 132-154, 1975.
    • (1975) Proc. Logic Colloquium , pp. 132-154
    • Meyer, A.R.1
  • 28
    • 84913355219 scopus 로고
    • Regular expressions for infi nite trees and a standard form of automata
    • LNCS 208
    • A. Mostowski. Regular expressions for infi nite trees and a standard form of automata. In Computation Theory, LNCS 208, pages 157-168, 1984.
    • (1984) Computation Theory , pp. 157-168
    • Mostowski, A.1
  • 29
    • 84947756513 scopus 로고
    • Alternating automata, the weak monadic theory of the tree and its complexity
    • LNCS 226
    • D. Muller, A. Saoudi, and P. Schupp. Alternating automata, the weak monadic theory of the tree and its complexity. In Proc. 13th ICALP, LNCS 226, 1986.
    • (1986) Proc. 13th ICALP
    • Muller, D.1    Saoudi, A.2    Schupp, P.3
  • 30
    • 0024140989 scopus 로고
    • Weak alternating automata give a simple explanation of why most temporal and dynamic logics are decidable in exponential time
    • Edinburgh, July
    • D. Muller, A. Saoudi, and P. E. Schupp. Weak alternating automata give a simple explanation of why most temporal and dynamic logics are decidable in exponential time. In Proc. 3rd LICS, pages 422-427, Edinburgh, July 1988.
    • (1988) Proc. 3rd LICS , pp. 422-427
    • Muller, D.1    Saoudi, A.2    Schupp, P.E.3
  • 31
    • 0343715288 scopus 로고
    • Alternating automata on infi nite trees
    • LNCS 192
    • D. Muller and P. Schupp. Alternating automata on infi nite trees. In Automata on Infi nite Words, LNCS 192, pages 100-107, 1985.
    • (1985) Automata on Infi Nite Words , pp. 100-107
    • Muller, D.1    Schupp, P.2
  • 32
    • 0029288002 scopus 로고
    • Simulating alternating tree automata by nondeterministic automata: New results and new proofs of theorems of Rabin, McNaughton and Safra
    • D. Muller and P. Schupp. Simulating alternating tree automata by nondeterministic automata: New results and new proofs of theorems of Rabin, McNaughton and Safra. TCS, 141:69-107, 1995.
    • (1995) TCS , vol.141 , pp. 69-107
    • Muller, D.1    Schupp, P.2
  • 33
    • 0024864157 scopus 로고
    • On the synthesis of a reactive module
    • A. Pnueli and R. Rosner. On the synthesis of a reactive module. In Proc. 16th POPL, pages 179-190, 1989.
    • (1989) Proc. 16th POPL , pp. 179-190
    • Pnueli, A.1    Rosner, R.2
  • 34
    • 84968501436 scopus 로고
    • Decidability of second order theories and automata on infi nite trees
    • M. Rabin. Decidability of second order theories and automata on infi nite trees. Trans. of the AMS, 141:1-35, 1969.
    • (1969) Trans. of the AMS , vol.141 , pp. 1-35
    • Rabin, M.1
  • 36
  • 37
    • 0024140259 scopus 로고
    • On the complexity of ω-automata
    • White Plains, October
    • S. Safra. On the complexity of ω-automata. In Proc. 29th FOCS, pages 319-327, White Plains, October 1988.
    • (1988) Proc. 29th FOCS , pp. 319-327
    • Safra, S.1
  • 38
    • 4243079085 scopus 로고
    • An elementary decision procedure for the μ-calculus
    • LNCS 172, July
    • R. Street and E. Emerson. An elementary decision procedure for the μ-calculus. In Proc. 11th ICALP, LNCS 172, pages 465-472, July 1984.
    • (1984) Proc. 11th ICALP , pp. 465-472
    • Street, R.1    Emerson, E.2
  • 39
    • 0000690591 scopus 로고
    • Propositional dynamic logic of looping and converse
    • R. Streett. Propositional dynamic logic of looping and converse. Information and Control, 54:121-141, 1982.
    • (1982) Information and Control , vol.54 , pp. 121-141
    • Streett, R.1
  • 40
    • 0142245456 scopus 로고    scopus 로고
    • 'More deterministic" vs. Smaller" büchi automata for efficient ltl model checking
    • LNCS 2860
    • R. Sebastiani and S. Tonetta. 'more deterministic" vs. Smaller" büchi automata for efficient ltl model checking. In 12th CHARME, LNCS 2860, pages 126-140, 2003.
    • (2003) 12th CHARME , pp. 126-140
    • Sebastiani, R.1    Tonetta, S.2
  • 41
    • 84948140041 scopus 로고
    • Language containment using non-deterministic omega-automata
    • LNCS 987
    • S. Tasiran, R. Hojati, and R. Brayton. Language containment using non-deterministic omega-automata. In Proc. 8th CHARME, LNCS 987, pages 261-277, 1995.
    • (1995) Proc. 8th CHARME , pp. 261-277
    • Tasiran, S.1    Hojati, R.2    Brayton, R.3
  • 43
    • 0002614970 scopus 로고
    • Generalized fi nite automata theory with an application to a decision problem of second-order logic
    • J. Thatcher and J. Wright. Generalized fi nite automata theory with an application to a decision problem of second-order logic. Mathematical System Theory, 2:57-81, 1968.
    • (1968) Mathematical System Theory , vol.2 , pp. 57-81
    • Thatcher, J.1    Wright, J.2
  • 44
    • 0039016140 scopus 로고
    • Finite automata and monadic second order logic
    • Russian
    • B. Trakhtenbrot. Finite automata and monadic second order logic. Siberian Math. J, 3:101-131, 1962. Russian;
    • (1962) Siberian Math. J , vol.3 , pp. 101-131
    • Trakhtenbrot, B.1
  • 45
    • 0346934337 scopus 로고
    • English translation
    • English translation in: AMS Transl. 59 (1966), 23-55.
    • (1966) AMS Transl. , vol.59 , pp. 23-55
  • 47
    • 0001652558 scopus 로고    scopus 로고
    • What makes modal logic so robustly decidable?
    • American Mathematical Society
    • M. Vardi. What makes modal logic so robustly decidable? In Descriptive Complexity and Finite Models, pages 149-183. American Mathematical Society, 1997.
    • (1997) Descriptive Complexity and Finite Models , pp. 149-183
    • Vardi, M.1
  • 48
    • 84878592842 scopus 로고    scopus 로고
    • Reasoning about the past with two-way automata
    • LNCS 1443
    • M. Vardi. Reasoning about the past with two-way automata. In Proc. 25th ICALP, LNCS 1443, pages 628-641, 1998.
    • (1998) Proc. 25th ICALP , pp. 628-641
    • Vardi, M.1
  • 49
    • 0022704337 scopus 로고
    • Automata-theoretic techniques for modal logics of programs
    • April
    • M. Vardi and P. Wolper. Automata-theoretic techniques for modal logics of programs. Journal of Computer and System Science, 32(2): 182-221, April 1986.
    • (1986) Journal of Computer and System Science , vol.32 , Issue.2 , pp. 182-221
    • Vardi, M.1    Wolper, P.2
  • 50
    • 0001909357 scopus 로고
    • Reasoning about infi nite computations
    • November
    • M. Vardi and P. Wolper. Reasoning about infi nite computations. I& C, 115(1):1-37, November 1994.
    • (1994) I& C , vol.115 , Issue.1 , pp. 1-37
    • Vardi, M.1    Wolper, P.2


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