메뉴 건너뛰기




Volumn 7, Issue 1, 1998, Pages 54-97

Monadic logical definability of nondeterministic linear time

Author keywords

Computational complexity; Descriptive complexity; Finite model theory; Linear time; Monadic second order logic; Nondeterminism; NP complete problem; Random access machine; Unary functions

Indexed keywords


EID: 0032365314     PISSN: 10163328     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001594     Document Type: Article
Times cited : (10)

References (31)
  • 1
    • 70350098746 scopus 로고
    • Weak second order arithmetic and finite automata
    • J.R. BÜCHI, Weak second order arithmetic and finite automata, Z. Math. Logik Grundlagen Math. 6 (1960), pp. 66-92.
    • (1960) Z. Math. Logik Grundlagen Math. , vol.6 , pp. 66-92
    • Büchi, J.R.1
  • 2
    • 0000090439 scopus 로고    scopus 로고
    • The expression of graph properties and graph transformations in monadic second-order logic
    • G. Rozenberg, editor, World Scientific Publisher
    • B. COURCELLE, The expression of graph properties and graph transformations in monadic second-order logic, In G. Rozenberg, editor, Handbook of graph grammars, vol. 1: Foundations. World Scientific Publisher, 1996.
    • (1996) Handbook of Graph Grammars, Vol. 1: Foundations , vol.1
    • Courcelle, B.1
  • 3
    • 0002188798 scopus 로고
    • Generalized first-order spectra and polynomial-time recognizable sets
    • Complexity of Computations, R.Karp, ed.
    • R. FAGIN, Generalized first-order spectra and polynomial-time recognizable sets, in Complexity of Computations, R.Karp, ed., SIAM-AMS Proc. 7, 1974, pp. 43-73.
    • (1974) SIAM-AMS Proc. , vol.7 , pp. 43-73
    • Fagin, R.1
  • 4
    • 0021420807 scopus 로고
    • The spectra of first-order sentence and computational complexity
    • E. GRANDJEAN, The spectra of first-order sentence and computational complexity, SIAM J.Comput., 13 (1984), pp. 356-373.
    • (1984) SIAM J.comput. , vol.13 , pp. 356-373
    • Grandjean, E.1
  • 5
    • 0039818178 scopus 로고
    • Universal quantifiers and time complexity of random access machines
    • E. GRANDJEAN, Universal quantifiers and time complexity of random access machines, Math. Systems Theory, 18 (1985), pp. 171-187.
    • (1985) Math. Systems Theory , vol.18 , pp. 171-187
    • Grandjean, E.1
  • 6
    • 0024054714 scopus 로고
    • A natural NP-complete problem with a nontrivial lower bound
    • E. GRANDJEAN, A natural NP-complete problem with a nontrivial lower bound, SIAM J.Comput.,17 (1988), pp. 786-809.
    • (1988) SIAM J.Comput. , vol.17 , pp. 786-809
    • Grandjean, E.1
  • 7
    • 0025444873 scopus 로고
    • A nontrivial lower bound for an NP problem on automata
    • E. GRANDJEAN, A nontrivial lower bound for an NP problem on automata, SIAM J. Comput., 19 (1990), pp. 438-451.
    • (1990) SIAM J. Comput. , vol.19 , pp. 438-451
    • Grandjean, E.1
  • 8
    • 0025414854 scopus 로고
    • First-order spectra with one variable
    • E. GRANDJEAN, First-order spectra with one variable, J. of Comput. and System Sci., 40 (1990), pp. 136-153.
    • (1990) J. of Comput. and System Sci. , vol.40 , pp. 136-153
    • Grandjean, E.1
  • 9
    • 0011209707 scopus 로고
    • Invariance properties of RAMs and linear time
    • E. GRANDJEAN, Invariance properties of RAMs and linear time, Computational Complexity, 4 (1994), pp. 62-106.
    • (1994) Computational Complexity , vol.4 , pp. 62-106
    • Grandjean, E.1
  • 10
    • 0028452829 scopus 로고
    • Linear time algorithms and NP-complete problems
    • E. GRANDJEAN, Linear time algorithms and NP-complete problems, SIAM J. Comput., 23 (1994), pp. 573-597.
    • (1994) SIAM J. Comput. , vol.23 , pp. 573-597
    • Grandjean, E.1
  • 11
    • 21344472069 scopus 로고    scopus 로고
    • Sorting, linear time and the satisfiability problem
    • E. GRANDJEAN, Sorting, linear time and the satisfiability problem, Annals of Math. and Artificial Intelligence, 16 (1996), pp. 183-236.
    • (1996) Annals of Math. and Artificial Intelligence , vol.16 , pp. 183-236
    • Grandjean, E.1
  • 13
    • 21844493498 scopus 로고
    • Monadic logical definability of NP-complete problems
    • E. GRANDJEAN, F. OLIVE, Monadic Logical Definability of NP-Complete Problems, CSL'94 Proc. LNCS 933 (1995), pp. 190-204.
    • (1995) CSL'94 Proc. LNCS , vol.933 , pp. 190-204
    • Grandjean, E.1    Olive, F.2
  • 14
    • 0000100134 scopus 로고
    • Toward logic tailored for computational complexity
    • Computation and Proof Theory, (M. M. Richter et al., eds.). Springer-Verlag, New York/Berlin
    • Y. GUREVICH, Toward logic tailored for computational complexity, Computation and Proof Theory, (M. M. Richter et al., eds.).Springer-Verlag Lecture Notes in Math. Vol.1104, pp. 175-216, Springer-Verlag, New York/Berlin, 1984.
    • (1984) Springer-Verlag Lecture Notes in Math. , vol.1104 , pp. 175-216
    • Gurevich, Y.1
  • 15
    • 0002041360 scopus 로고
    • Logic and the challenge of computer science
    • (E. Boerger Ed.), Computer science, Rockville, MD
    • Y. GUREVICH, Logic and the challenge of computer science, Current Trends in Theorical Computer Science, (E. Boerger Ed.), pp. 1-55, Computer science, Rockville, MD, 1986.
    • (1986) Current Trends in Theorical Computer Science , pp. 1-55
    • Gurevich, Y.1
  • 16
    • 85030629189 scopus 로고
    • Nearly linear time
    • Springer-Verlag
    • Y. GUREVICH, S. SHELAH, Nearly linear time, Lect. Notes Comput.Sci. 363 (1989), Springer-Verlag, pp. 108-118.
    • (1989) Lect. Notes Comput.Sci. , vol.363 , pp. 108-118
    • Gurevich, Y.1    Shelah, S.2
  • 17
    • 0020943152 scopus 로고
    • Languages which capture complexity classes
    • N. IMMERMAN, Languages which capture complexity classes, 15th ACM Symp. on Theory of Computing, 1983, pp. 347-354; SIAM J. Comput., 16, No.4 (1987), 760-778.
    • (1983) 15th ACM Symp. on Theory of Computing , pp. 347-354
    • Immerman, N.1
  • 18
    • 0023400985 scopus 로고
    • N. IMMERMAN, Languages which capture complexity classes, 15th ACM Symp. on Theory of Computing, 1983, pp. 347-354; SIAM J. Comput., 16, No.4 (1987), 760-778.
    • (1987) SIAM J. Comput. , vol.16 , Issue.4 , pp. 760-778
  • 19
    • 85051541380 scopus 로고
    • Relational queries computable in polynomial time
    • N. IMMERMAN, Relational queries computable in polynomial time, 14th ACM STOC Symp., 1982, pp. 147-152. Also appeared in revised form in Information and Control, 68 (1986), pp. 86-104.
    • (1982) 14th ACM STOC Symp. , pp. 147-152
    • Immerman, N.1
  • 20
    • 85051541380 scopus 로고
    • N. IMMERMAN, Relational queries computable in polynomial time, 14th ACM STOC Symp., 1982, pp. 147-152. Also appeared in revised form in Information and Control, 68 (1986), pp. 86-104.
    • (1986) Information and Control , vol.68 , pp. 86-104
  • 21
    • 0001991238 scopus 로고
    • Descriptive and computational complexity
    • J. Hartmanis ed., Computational Complexity Theory
    • N. IMMERMAN, Descriptive and computational complexity, in J. Hartmanis ed., Computational Complexity Theory, Proc. of AMS Symposia in Appl. Math. 38 (1989), pp. 75-91.
    • (1989) Proc. of AMS Symposia in Appl. Math. , vol.38 , pp. 75-91
    • Immerman, N.1
  • 22
    • 0003037529 scopus 로고
    • Reducibility among combinatorial problems
    • Complexity of Computers Computations, Plenum Press, New York
    • R.M. KARP, Reducibility among combinatorial problems, IBM Symp. 1972, Complexity of Computers Computations, Plenum Press, New York, 1972.
    • (1972) IBM Symp. 1972
    • Karp, R.M.1
  • 23
    • 0040410771 scopus 로고
    • Technical report UCSC-CRL-90-48, Computer and Information Sciences, University of California, Santa-Cruz
    • P.G. KOLAITIS, M.N. THAKUR, Logical definability of NP-optimization problems, Technical report UCSC-CRL-90-48, Computer and Information Sciences, University of California, Santa-Cruz, 1990.
    • (1990) Logical Definability of NP-optimization Problems
    • Kolaitis, P.G.1    Thakur, M.N.2
  • 24
    • 0000832468 scopus 로고
    • Complexity classes and theories of finite models
    • J.F. LYNCH, Complexity classes and theories of finite models, Math. Systems Theory, 15 (1982), pp. 127-144.
    • (1982) Math. Systems Theory , vol.15 , pp. 127-144
    • Lynch, J.F.1
  • 25
    • 0011248783 scopus 로고
    • The quantifier structure of sentences that characterize nondeterministic time complexity
    • J.F. LYNCH, The quantifier structure of sentences that characterize nondeterministic time complexity, in Comput. Complexity, 2 (1992), pp. 40-66.
    • (1992) Comput. Complexity , vol.2 , pp. 40-66
    • Lynch, J.F.1
  • 27
    • 0026366408 scopus 로고
    • Optimization, approximation and complexity
    • C. PAPADIMITRIOU, M. YANNAKAKIS, Optimization, Approximation and Complexity, in J.Comput.System Sci., 43 (1991), pp. 425-440.
    • (1991) J.Comput.System Sci. , vol.43 , pp. 425-440
    • Papadimitriou, C.1    Yannakakis, M.2
  • 29
    • 84976654190 scopus 로고
    • Satisfiability is quasilinear complete in NQL
    • C.P. SCHNORR, Satisfiability is quasilinear complete in NQL, J. ACM, 25 (1978), pp. 136-145.
    • (1978) J. ACM , vol.25 , pp. 136-145
    • Schnorr, C.P.1
  • 30
    • 0020246633 scopus 로고
    • Classifying regular events in symbolic logic
    • W. THOMAS, Classifying regular events in symbolic logic, J. Comput. System Sci. 25 (1982), pp. 360-376.
    • (1982) J. Comput. System Sci. , vol.25 , pp. 360-376
    • Thomas, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.