메뉴 건너뛰기




Volumn 44, Issue 1, 1998, Pages 109-122

Capturing relativized complexity classes without order

Author keywords

Descriptive complexity theory; Finite model theory; Finite structures; Fixpoint logic; Generalized quantifiers; Relativized logspace

Indexed keywords


EID: 0032221655     PISSN: 09425616     EISSN: None     Source Type: Journal    
DOI: 10.1002/malq.19980440108     Document Type: Article
Times cited : (6)

References (27)
  • 1
    • 0026204067 scopus 로고
    • Datalog extensions for database queries and updates
    • ABITEBOUL, S., and V. VIANU, Datalog extensions for database queries and updates. J. Computer System Sci. 43 (1991), 62-124.
    • (1991) J. Computer System Sci. , vol.43 , pp. 62-124
    • Abiteboul, S.1    Vianu, V.2
  • 2
    • 0001376122 scopus 로고
    • On Moschovakis closure ordinals
    • BARWISE, J., On Moschovakis closure ordinals. J. Symbolic Logic 42 (1977), 292-296.
    • (1977) J. Symbolic Logic , vol.42 , pp. 292-296
    • Barwise, J.1
  • 3
    • 0021520840 scopus 로고
    • Equivalence relations, invariants, and normal forms
    • BLASS, A., and Y. GUREVICH, Equivalence relations, invariants, and normal forms. SIAM J. Computing 13 (1984), 682-689.
    • (1984) SIAM J. Computing , vol.13 , pp. 682-689
    • Blass, A.1    Gurevich, Y.2
  • 4
    • 0000349516 scopus 로고
    • Generalized quantifiers and logical reducibilities
    • DAWAR, A., Generalized quantifiers and logical reducibilities. J. Logic and Comput. 5 (1995), 213-226.
    • (1995) J. Logic and Comput. , vol.5 , pp. 213-226
    • Dawar, A.1
  • 5
    • 0000465981 scopus 로고
    • The expressive power of finitely many generalized quantifiers
    • DAWAR and L. HELLA, The expressive power of finitely many generalized quantifiers. Inform. and Comput. 123 (1995), 172-184.
    • (1995) Inform. and Comput. , vol.123 , pp. 172-184
    • Dawar1    Hella, L.2
  • 7
    • 0002188798 scopus 로고
    • Generalized first-order spectra and polynomial-time recognizable sets
    • Complexity of Computation (R. M. KARP, ed.)
    • FAGIN, R., Generalized first-order spectra and polynomial-time recognizable sets. In: Complexity of Computation (R. M. KARP, ed.), SIAM-AMS Proceedings 7 (1974), 43-73.
    • (1974) SIAM-AMS Proceedings , vol.7 , pp. 43-73
    • Fagin, R.1
  • 8
    • 0029190785 scopus 로고
    • Relativized logspace and generalized quantifiers over ordered finite structures
    • (to appear). Proc. Tenth Annual Symposium on Logic in Computer Science LICS'95San Diego, CA, June 1995, IEEE Computer Society Press
    • GOTTLOB, G., Relativized logspace and generalized quantifiers over ordered finite structures. J. Symbolic Logic (to appear). Short version in: Proc. Tenth Annual Symposium on Logic in Computer Science LICS'95 (San Diego, CA, June 1995), IEEE Computer Society Press 1995, pp. 65-78.
    • (1995) J. Symbolic Logic , pp. 65-78
    • Gottlob, G.1
  • 9
    • 0009392343 scopus 로고
    • Second order logic and the weak exponential hierarchies
    • Proc. Intern. Symp. on Mathematical Foundations of Computer Science, MFCS'95, Prague (CR); Springer-Verlag, Berlin-Heidelberg-New York
    • GOTTLOB, G., N. LEONE, and H. VEITH, Second order logic and the weak exponential hierarchies. In: Proc. Intern. Symp. on Mathematical Foundations of Computer Science, MFCS'95, Prague (CR); Lecture Notes in Computer Science 969, Springer-Verlag, Berlin-Heidelberg-New York 1995, pp. 66-81.
    • (1995) Lecture Notes in Computer Science , vol.969 , pp. 66-81
    • Gottlob, G.1    Leone, N.2    Veith, H.3
  • 10
    • 0000100134 scopus 로고
    • Toward logic tailored for computational complexity
    • Computation and Proof Theory (M. RICHTER et al., eds.), Springer-Verlag, Berlin-Heidelberg-New York
    • GUREVICH, Y., Toward logic tailored for computational complexity. In: Computation and Proof Theory (M. RICHTER et al., eds.), Lecture Notes in Mathematics 1104, Springer-Verlag, Berlin-Heidelberg-New York 1984, pp. 175-216.
    • (1984) Lecture Notes in Mathematics , vol.1104 , pp. 175-216
    • Gurevich, Y.1
  • 11
    • 38249042304 scopus 로고
    • Fixed-point extensions of first-order logic
    • GUREVICH, Y., and S. SHELAH, Fixed-point extensions of first-order logic. Annals Pure Appl. Logic 32 (1986), 265-280.
    • (1986) Annals Pure Appl. Logic , vol.32 , pp. 265-280
    • Gurevich, Y.1    Shelah, S.2
  • 12
    • 0000542612 scopus 로고
    • The strong exponential hierarchy collapses
    • HEMACHANDRA, L. A., The strong exponential hierarchy collapses. J. Computer System Sci. 39 (1989), 299-322.
    • (1989) J. Computer System Sci. , vol.39 , pp. 299-322
    • Hemachandra, L.A.1
  • 13
    • 0028468052 scopus 로고
    • Census techniques collapse sparse classes
    • HEMASPAANDRA, E., Census techniques collapse sparse classes. Information Processing Letters 51 (1994), 79-84.
    • (1994) Information Processing Letters , vol.51 , pp. 79-84
    • Hemaspaandra, E.1
  • 14
    • 0022500426 scopus 로고
    • Relational queries computable in polynomial time
    • IMMERMAN, N., Relational queries computable in polynomial time. Information and Control 68, (1986), 86-104.
    • (1986) Information and Control , vol.68 , pp. 86-104
    • Immerman, N.1
  • 15
    • 0024091298 scopus 로고
    • Nondeterministic space is closed under complementation
    • IMMERMAN, N., Nondeterministic space is closed under complementation. SIAM J. Comput. 17 (1988), 935-939.
    • (1988) SIAM J. Comput. , vol.17 , pp. 935-939
    • Immerman, N.1
  • 16
    • 0024134606 scopus 로고
    • The polynomial hierarchy collapses if the Boolean hierarchy collapses
    • KADIN, J., The polynomial hierarchy collapses if the Boolean Hierarchy collapses. SIAM J. Comput. 17 (1988), 1263-1282.
    • (1988) SIAM J. Comput. , vol.17 , pp. 1263-1282
    • Kadin, J.1
  • 18
    • 0003108854 scopus 로고
    • Relativization of questions about log-space reducibility
    • LADNER, R., and N. LYNCH, Relativization of questions about log-space reducibility. Math. Systems Theory 10 (1976), 19-32.
    • (1976) Math. Systems Theory , vol.10 , pp. 19-32
    • Ladner, R.1    Lynch, N.2
  • 19
    • 84969372882 scopus 로고
    • Oracles and quantifiers
    • Computer Science Logic (CSL'93), Springer-Verlag, Berlin-Heidelberg-New York
    • MAKOWSKY, J. A., and Y. B. PNUELI, Oracles and quantifiers. In: Computer Science Logic (CSL'93), Lecture Notes in Computer Science 832, Springer-Verlag, Berlin-Heidelberg-New York 1994, pp. 198-222.
    • (1994) Lecture Notes in Computer Science , vol.832 , pp. 198-222
    • Makowsky, J.A.1    Pnueli, Y.B.2
  • 21
    • 0030149265 scopus 로고    scopus 로고
    • Separating classes in the exponential-time hierarchy from classes in PH
    • MOCAS, S., Separating classes in the exponential-time hierarchy from classes in PH. Theoretical Computer Science 185 (1996), 221-231.
    • (1996) Theoretical Computer Science , vol.185 , pp. 221-231
    • Mocas, S.1
  • 22
    • 0027294138 scopus 로고
    • Logical characterization of bounded query classes I: Logspace oracle machines
    • STEWART, I. A., Logical characterization of bounded query classes I: Logspace oracle machines. Fundamenta Informaticae 18 (1993), 65-92.
    • (1993) Fundamenta Informaticae , vol.18 , pp. 65-92
    • Stewart, I.A.1
  • 23
    • 0027268753 scopus 로고
    • Logical characterization of bounded query classes II: Polynomial-time oracle machines
    • STEWART, I. A., Logical characterization of bounded query classes II: Polynomial-time oracle machines. Fundamenta Informaticae 18 (1993), 93-105.
    • (1993) Fundamenta Informaticae , vol.18 , pp. 93-105
    • Stewart, I.A.1
  • 24
    • 0024112189 scopus 로고
    • The method of forced enumeration for nondeterministic automata
    • SZELEPCSÈNYI, R., The method of forced enumeration for nondeterministic automata. Acta Informatica 26 (1988), 279-284.
    • (1988) Acta Informatica , vol.26 , pp. 279-284
    • Szelepcsènyi, R.1
  • 26
    • 0000205276 scopus 로고
    • Some consequences of non-uniform conditions on uniform classes
    • YAP, C., Some Consequences of non-uniform conditions on uniform classes. Theoretical Computer Science 26 (1983), 287-300.
    • (1983) Theoretical Computer Science , vol.26 , pp. 287-300
    • Yap, C.1
  • 27
    • 0025507099 scopus 로고
    • Bounded query classes
    • WAGNER, K., Bounded query classes. SIAM J. Comput. 19 (1990), 833-846.
    • (1990) SIAM J. Comput. , vol.19 , pp. 833-846
    • Wagner, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.