메뉴 건너뛰기




Volumn 4207 LNCS, Issue , 2006, Pages 135-149

Logical omniscience via proof complexity

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; KNOWLEDGE BASED SYSTEMS; LOGIC PROGRAMMING; MATHEMATICAL OPERATORS; MODAL ANALYSIS; POLYNOMIALS;

EID: 33750325570     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11874683_9     Document Type: Conference Paper
Times cited : (20)

References (49)
  • 2
  • 3
    • 0035607160 scopus 로고    scopus 로고
    • Explicit provability and constructive semantics
    • S. Artemov. Explicit provability and constructive semantics. Bulletin of Symbolic Logic, 7(1): 1-36, 2001.
    • (2001) Bulletin of Symbolic Logic , vol.7 , Issue.1 , pp. 1-36
    • Artemov, S.1
  • 4
    • 33745371051 scopus 로고    scopus 로고
    • Justified Common Knowledge
    • S. Artemov. Justified Common Knowledge. Theoretical Computer Science, 357(1-3):4-22, 2006.
    • (2006) Theoretical Computer Science , vol.357 , Issue.1-3 , pp. 4-22
    • Artemov, S.1
  • 7
    • 29144513937 scopus 로고    scopus 로고
    • Introducing justification into epistemic logic
    • S. Artemov and E. Nogina. Introducing justification into epistemic logic. Journal of Logic and Computation, 15(6): 1059-1073, 2005.
    • (2005) Journal of Logic and Computation , vol.15 , Issue.6 , pp. 1059-1073
    • Artemov, S.1    Nogina, E.2
  • 10
    • 0040866265 scopus 로고
    • The coherence theory of empirical knowledge
    • L. Bonjour. The coherence theory of empirical knowledge. Philosophical Studies, 30:281-312, 1976.
    • (1976) Philosophical Studies , vol.30 , pp. 281-312
    • Bonjour, L.1
  • 11
    • 29144510342 scopus 로고
    • M.F. Goodman and R.A. Snyder (eds). Prentice Hall
    • Reprinted in Contemporary Readings in Epistemology, M.F. Goodman and R.A. Snyder (eds). Prentice Hall, pp. 70-89, 1993.
    • (1993) Contemporary Readings in Epistemology , pp. 70-89
  • 14
    • 0043050060 scopus 로고
    • Memory, Reason, and Time: The Step-logic approach
    • R. Cummins and J. Pollock, editors. MIT Press
    • J. Elgot-Drapkin, M. Miller, and D. Perils. Memory, Reason, and Time: The Step-logic approach. In R. Cummins and J. Pollock, editors. Philosophy and AI: Essays at the Interface, pages 79-103. MIT Press, 1991.
    • (1991) Philosophy and AI: Essays at the Interface , pp. 79-103
    • Elgot-Drapkin, J.1    Miller, M.2    Perils, D.3
  • 16
    • 0023842375 scopus 로고
    • Belief, awareness, and limited reasoning
    • R. Fagin and J. Halpern. Belief, awareness, and limited reasoning. Artificial Intelligence, 34(1):39-76, 1988.
    • (1988) Artificial Intelligence , vol.34 , Issue.1 , pp. 39-76
    • Fagin, R.1    Halpern, J.2
  • 17
    • 0029544006 scopus 로고
    • A nonstandard approach to the logical omniscience problem
    • R. Fagin, J. Halpern, and M. Vardi. A nonstandard approach to the logical omniscience problem. Artificial Intelligence, 79(2):203-240, 1995.
    • (1995) Artificial Intelligence , vol.79 , Issue.2 , pp. 203-240
    • Fagin, R.1    Halpern, J.2    Vardi, M.3
  • 18
    • 4344577593 scopus 로고    scopus 로고
    • Technical Report TR-2003012, CUNY Ph.D. Program in Computer Science
    • M. Fitting. A semantics for the logic of proofs. Technical Report TR-2003012, CUNY Ph.D. Program in Computer Science, 2003.
    • (2003) A Semantics for the Logic of Proofs
    • Fitting, M.1
  • 19
    • 29144466230 scopus 로고    scopus 로고
    • Technical Report TR-2004016, CUNY Ph.D. Program in Computer Science
    • M. Fitting. Semantics and tableaus for LPS4. Technical Report TR-2004016, CUNY Ph.D. Program in Computer Science, 2004.
    • (2004) Semantics and Tableaus for LPS4
    • Fitting, M.1
  • 20
    • 8644260892 scopus 로고    scopus 로고
    • The logic of proofs, semantically
    • M. Fitting. The logic of proofs, semantically. Annals of Pure and Applied Logic, 132(1): 1-25, 2005.
    • (2005) Annals of Pure and Applied Logic , vol.132 , Issue.1 , pp. 1-25
    • Fitting, M.1
  • 21
    • 84960595364 scopus 로고
    • Is Justified True Belief Knowledge?
    • E. Gettier. Is Justified True Belief Knowledge? Analysis, 23:121-123, 1963.
    • (1963) Analysis , vol.23 , pp. 121-123
    • Gettier, E.1
  • 22
    • 0040612905 scopus 로고
    • A causal theory of knowing
    • A. Goldman. A causal theory of knowing. The Journal of Philosophy, 64:335-372, 1967.
    • (1967) The Journal of Philosophy , vol.64 , pp. 335-372
    • Goldman, A.1
  • 24
    • 0026853865 scopus 로고
    • A guide to completeness and complexity for modal logics of knowledge and beliefs
    • J. Halpern and Y. Moses. A guide to completeness and complexity for modal logics of knowledge and beliefs. Journal of Artificial Intelligence, 54:319-379, 1992.
    • (1992) Journal of Artificial Intelligence , vol.54 , pp. 319-379
    • Halpern, J.1    Moses, Y.2
  • 27
    • 0000038844 scopus 로고
    • Impossible possible worlds vindicated
    • J. Hintikka. Impossible possible worlds vindicated. Journal of Philosophical Logic, 4:475-484, 1975.
    • (1975) Journal of Philosophical Logic , vol.4 , pp. 475-484
    • Hintikka, J.1
  • 28
    • 33750360084 scopus 로고
    • Research Notes in Artificial Intelligence. Morgan Kaufmann
    • K. Konolige. A Deductive Model of Belief. Research Notes in Artificial Intelligence. Morgan Kaufmann, 1986.
    • (1986) A Deductive Model of Belief
    • Konolige, K.1
  • 29
    • 33745381221 scopus 로고    scopus 로고
    • On the complexity of the reflected logic of proofs
    • N. Krupski. On the complexity of the reflected logic of proofs. Theoretical Computer Science, 357:136-142, 2006.
    • (2006) Theoretical Computer Science , vol.357 , pp. 136-142
    • Krupski, N.1
  • 31
    • 0000595575 scopus 로고
    • The computational complexity of provability in systems of modal propositional logic
    • R. Ladner. The computational complexity of provability in systems of modal propositional logic. SI AM Journal on Computing, 6(3):467-480, 1977.
    • (1977) SI AM Journal on Computing , vol.6 , Issue.3 , pp. 467-480
    • Ladner, R.1
  • 32
    • 33746128999 scopus 로고
    • Knowledge: Undefeated justified true belief
    • K. Lehrer and T. Paxson. Knowledge: undefeated justified true belief. The Journal of Philosophy, 66:1-22, 1969.
    • (1969) The Journal of Philosophy , vol.66 , pp. 1-22
    • Lehrer, K.1    Paxson, T.2
  • 33
    • 28844437227 scopus 로고    scopus 로고
    • Knowledge, belief and subjective probability
    • V. Hendricks, K. Jörgensen, and S. Pedersen, editors, Kluwer
    • W. Lenzen. Knowledge, belief and subjective probability. In V. Hendricks, K. Jörgensen, and S. Pedersen, editors, Knowledge Contributors. Kluwer, 2003.
    • (2003) Knowledge Contributors
    • Lenzen, W.1
  • 36
    • 84947916318 scopus 로고    scopus 로고
    • Models for the logic of proofs
    • S. Adian and A. Nerode, editors, Logical Foundations of Computer Science '97, Yaroslavl', Springer
    • A. Mkrtychev. Models for the logic of proofs. In S. Adian and A. Nerode, editors, Logical Foundations of Computer Science '97, Yaroslavl', volume 1234 of Lecture Notes in Computer Science, pages 266-275. Springer, 1997.
    • (1997) Lecture Notes in Computer Science , vol.1234 , pp. 266-275
    • Mkrtychev, A.1
  • 37
    • 84979128113 scopus 로고
    • Universal grammar
    • R. Montague. Universal Grammar. Theoria, 36:373-398, 1970.
    • (1970) Theoria , vol.36 , pp. 373-398
    • Montague, R.1
  • 42
    • 84957650617 scopus 로고
    • Logical omniscience
    • D. Leivant, editor, Logical and Computational Complexity. Selected Papers. Logic and Computational Complexity, International Workshop (LCC-1994), Indianapolis, IN, USA, October 13-16, 1994, Springer
    • R. Parikh. Logical omniscience. In D. Leivant, editor, Logical and Computational Complexity. Selected Papers. Logic and Computational Complexity, International Workshop (LCC-1994), Indianapolis, IN, USA, October 13-16, 1994, volume 960 of Lecture Notes in Computer Science, pages 22-29. Springer, 1995.
    • (1995) Lecture Notes in Computer Science , vol.960 , pp. 22-29
    • Parikh, R.1
  • 44
    • 0002648050 scopus 로고    scopus 로고
    • The Lengths of Proofs
    • S. Buss, editor, Elsevier
    • P. Pudlak. The Lengths of Proofs. In S. Buss, editor, Handbook of Proof Theory, pages 547-637. Elsevier, 1998.
    • (1998) Handbook of Proof Theory , pp. 547-637
    • Pudlak, P.1
  • 45
    • 5544271182 scopus 로고
    • Impossible worlds semantics and logical omniscience
    • V. Rantala. Impossible worlds semantics and logical omniscience. Acta Philosophica Fennica. 35:18-24, 1982.
    • (1982) Acta Philosophica Fennica , vol.35 , pp. 18-24
    • Rantala, V.1
  • 46
    • 0041508101 scopus 로고
    • Advice in modal logic
    • K. Lambert, editor, Reidel
    • D. Scott. Advice in modal logic. In K. Lambert, editor, Philosophical Problems in Logic, pages 143-173. Reidel, 1970.
    • (1970) Philosophical Problems in Logic , pp. 143-173
    • Scott, D.1
  • 47
    • 0242519675 scopus 로고
    • Representing the knowledge of turing machine
    • H. Shin and T. Williamson. Representing the knowledge of turing machine. Theory and Decision, 37(1):125-146, 1994.
    • (1994) Theory and Decision , vol.37 , Issue.1 , pp. 125-146
    • Shin, H.1    Williamson, T.2
  • 49
    • 3142549512 scopus 로고
    • A general possible worlds framework for reasoning about knowledge
    • H. Wansing. A general possible worlds framework for reasoning about knowledge. Studia Logica, 49(4)-.523-539, 1990.
    • (1990) Studia Logica , vol.49 , Issue.4 , pp. 523-539
    • Wansing, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.