메뉴 건너뛰기




Volumn 2619, Issue , 2003, Pages 49-64

On the universal and existential fragments of the μ-calculus

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CALCULATIONS; FORMAL LOGIC; POLYNOMIAL APPROXIMATION; TEMPORAL LOGIC;

EID: 35248821143     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-36577-x_5     Document Type: Article
Times cited : (6)

References (33)
  • 1
    • 84955604920 scopus 로고
    • Temporal logic with fixed points
    • Temporal Logic in Specification, Springer-Verlag
    • B. Banieqbal and H. Barringer. Temporal logic with fixed points. Temporal Logic in Specification, LNCS 398, pages 62-74. Springer-Verlag, 1987.
    • (1987) LNCS , vol.398 , pp. 62-74
    • Banieqbal, B.1    Barringer, H.2
  • 3
    • 85037030721 scopus 로고
    • Design and synthesis of synchronization skeletons using branching-time temporal logic
    • Logic of Programs, Springer-Verlag
    • E. Clarke and E. Emerson. Design and synthesis of synchronization skeletons using branching-time temporal logic. In Logic of Programs, LNCS 131, pages 52-71. Springer-Verlag, 1981.
    • (1981) LNCS , vol.131 , pp. 52-71
    • Clarke, E.1    Emerson, E.2
  • 4
    • 0022706656 scopus 로고
    • Automatic verification of finite-state concurrent systems using temporal-logic specifications
    • E. Clarke, E. Emerson, and A. Sistla. Automatic verification of finite-state concurrent systems using temporal-logic specifications. ACM Trans. on Programming Languages and Systems, 8(2):244-263, 1986.
    • (1986) ACM Trans. on Programming Languages and Systems , vol.8 , Issue.2 , pp. 244-263
    • Clarke, E.1    Emerson, E.2    Sistla, A.3
  • 6
    • 0027579401 scopus 로고
    • A linear-time model-checking algorithm for the alternation-free modal μ-calculus
    • R. Cleaveland and B. Steffen. A linear-time model-checking algorithm for the alternation-free modal μ-calculus. Formal Methods in System Design, 2:121-147, 1993.
    • (1993) Formal Methods in System Design , vol.2 , pp. 121-147
    • Cleaveland, R.1    Steffen, B.2
  • 7
    • 0028420232 scopus 로고
    • CTL* and ECTL* as fragments of the modal μ-calculus
    • M. Dam. CTL* and ECTL* as fragments of the modal μ-calculus. Theoretical Computer Science, 126:77-96, 1994.
    • (1994) Theoretical Computer Science , vol.126 , pp. 77-96
    • Dam, M.1
  • 8
    • 0022514018 scopus 로고
    • Sometimes and not never revisited: On branching versus linear time
    • E. Emerson and J. Halpern. Sometimes and not never revisited: On branching versus linear time. Journal of the ACM, 33(1):151-178, 1986.
    • (1986) Journal of the ACM , vol.33 , Issue.1 , pp. 151-178
    • Emerson, E.1    Halpern, J.2
  • 9
    • 0024141507 scopus 로고
    • The complexity of tree automata and logics of programs
    • IEEE Press
    • E. Emerson and C. Jutla. The complexity of tree automata and logics of programs. In Proc. Foundations of Computer Science, pages 328-337. IEEE Press, 1988.
    • (1988) Proc. Foundations of Computer Science , pp. 328-337
    • Emerson, E.1    Jutla, C.2
  • 10
  • 11
    • 84957813927 scopus 로고
    • On model-checking for fragments of μ-calculus
    • Computer Aided Verification, Springer-Verlag
    • E. Emerson, C. Jutla, and A. Sistla. On model-checking for fragments of μ-calculus. In Computer Aided Verification, LNCS 697, pages 385-396. Springer-Verlag, 1993.
    • (1993) LNCS , vol.697 , pp. 385-396
    • Emerson, E.1    Jutla, C.2    Sistla, A.3
  • 12
    • 0022956502 scopus 로고
    • Efficient model checking in fragments of the propositional μ-calculus
    • E. Emerson and C.-L. Lei. Efficient model checking in fragments of the propositional μ-calculus. In Proc. Logic in Computer Science, pages 267-278. 1986.
    • (1986) Proc. Logic in Computer Science , pp. 267-278
    • Emerson, E.1    Lei, C.-L.2
  • 16
    • 0021974161 scopus 로고
    • Algebraic laws for nondeterminism and concurrency
    • M. Hennessy and R. Milner. Algebraic laws for nondeterminism and concurrency. Journal of the ACM, 32:137-161, 1985.
    • (1985) Journal of the ACM , vol.32 , pp. 137-161
    • Hennessy, M.1    Milner, R.2
  • 17
    • 0002376906 scopus 로고
    • Number of quantifiers is better than number of tape cells
    • N. Immerman. Number of quantifiers is better than number of tape cells. Journal of Computer and System Sciences, 22(3):384-406, 1981.
    • (1981) Journal of Computer and System Sciences , vol.22 , Issue.3 , pp. 384-406
    • Immerman, N.1
  • 18
    • 84948963145 scopus 로고    scopus 로고
    • On the expressive completeness of the prepositional μ-calculus with respect to the monadic second-order logic
    • Concurrency Theory, Springer-Verlag
    • D. Janin and I. Walukiewicz. On the expressive completeness of the prepositional μ-calculus with respect to the monadic second-order logic. In Concurrency Theory, LNCS 1119, pages 263-277. Springer-Verlag, 1996.
    • (1996) LNCS , vol.1119 , pp. 263-277
    • Janin, D.1    Walukiewicz, I.2
  • 19
    • 0032203664 scopus 로고    scopus 로고
    • Deciding the winner in parity games is in UP ∩ co-UP
    • M. Jurdzinski. Deciding the winner in parity games is in UP ∩ co-UP. Information Processing Letters, 68(3):119-124, 1998.
    • (1998) Information Processing Letters , vol.68 , Issue.3 , pp. 119-124
    • Jurdzinski, M.1
  • 20
    • 84944078394 scopus 로고    scopus 로고
    • Small progress measures for solving parity games
    • Theoretical Aspects of Computer Science, Springer-Verlag
    • M. Jurdzinski. Small progress measures for solving parity games. In Theoretical Aspects of Computer Science, LNCS 1770, pages 290-301. Springer-Verlag, 2000.
    • (2000) LNCS , vol.1770 , pp. 290-301
    • Jurdzinski, M.1
  • 21
    • 49049126479 scopus 로고
    • Results on the propositional μ-calculus
    • D. Kozen. Results on the propositional μ-calculus. Theoretical Computer Science, 27:333-354, 1983.
    • (1983) Theoretical Computer Science , vol.27 , pp. 333-354
    • Kozen, D.1
  • 22
    • 0040859656 scopus 로고
    • A finite model theorem for the propositional μ-calculus
    • D. Kozen. A finite model theorem for the propositional μ-calculus. Studia Logica, 47(3):333-354, 1988.
    • (1988) Studia Logica , vol.47 , Issue.3 , pp. 333-354
    • Kozen, D.1
  • 24
    • 0001667648 scopus 로고    scopus 로고
    • An automata-theoretic approach to branching-time model checking
    • O. Kupferman, M. Vardi, and P. Wolper. An automata-theoretic approach to branching-time model checking. Journal of the ACM, 47(2):312-360, 2000.
    • (2000) Journal of the ACM , vol.47 , Issue.2 , pp. 312-360
    • Kupferman, O.1    Vardi, M.2    Wolper, P.3
  • 26
    • 84969334683 scopus 로고
    • An improved algorithm for the evaluation of fixpoint expressions
    • Computer Aided Verification, Springer-Verlag
    • D. Long, A. Brown, E. Clarke, S. Jha, and W. Marrero. An improved algorithm for the evaluation of fixpoint expressions. In Computer Aided Verification, LNCS 818, pages 338-350. Springer-Verlag, 1994.
    • (1994) LNCS , vol.818 , pp. 338-350
    • Long, D.1    Brown, A.2    Clarke, E.3    Jha, S.4    Marrero, W.5
  • 28
    • 0038357007 scopus 로고
    • In transition from global to modular temporal reasoning about programs
    • Logics and Models of Concurrent Systems, Springer-Verlag
    • A. Pnueli. In transition from global to modular temporal reasoning about programs. In Logics and Models of Concurrent Systems, volume F-13 of NATO Advanced Summer Institutes, pages 123-144. Springer-Verlag, 1985.
    • (1985) NATO Advanced Summer Institutes , vol.F-13 , pp. 123-144
    • Pnueli, A.1
  • 31
    • 0030232397 scopus 로고    scopus 로고
    • Fast and simple nested fixpoints
    • H. Seidl. Fast and simple nested fixpoints. Information Processing Letters, 59(6):303-308, 1996.
    • (1996) Information Processing Letters , vol.59 , Issue.6 , pp. 303-308
    • Seidl, H.1
  • 33
    • 0021980240 scopus 로고
    • Improved upper and lower bounds for modal logics of programs
    • ACM Press
    • M. Vardi and L. Stockmeyer. Improved upper and lower bounds for modal logics of programs. In Proc. Theory of Computing, pages 240-251. ACM Press, 1985.
    • (1985) Proc. Theory of Computing , pp. 240-251
    • Vardi, M.1    Stockmeyer, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.