메뉴 건너뛰기




Volumn 17, Issue 2, 2007, Pages 217-231

Physical computation: How general are gandy's principles for mechanisms?

Author keywords

Accelerating turing machine; Asynchronous computation; Church's thesis; Davies; Determinism; Gandy; Hogarth; Hypercomputation; Physical computation; Pitowsky; Supertask; Thesis M

Indexed keywords

COMPUTATIONAL METHODS; DIGITAL COMPUTERS; FUNCTION EVALUATION; TURING MACHINES;

EID: 34547841325     PISSN: 09246495     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11023-007-9058-2     Document Type: Article
Times cited : (28)

References (42)
  • 1
    • 0012221122 scopus 로고
    • Effective computation over the real numbers
    • Northridge, Calif, Institute of Electrical and Electronics Engineers
    • Abramson, F.G. (1971). Effective computation over the real numbers. Twelfth annual symposium on switching and automata theory. Northridge, Calif.: Institute of Electrical and Electronics Engineers.
    • (1971) Twelfth annual symposium on switching and automata theory
    • Abramson, F.G.1
  • 3
    • 0031286975 scopus 로고    scopus 로고
    • The broad conception of computation
    • Copeland, B. J. (1997). The broad conception of computation. American Behavioral Scientist, 40, 690-716.
    • (1997) American Behavioral Scientist , vol.40 , pp. 690-716
    • Copeland, B.J.1
  • 4
    • 0000661597 scopus 로고    scopus 로고
    • Turing-machines
    • (1998a). Super Turing-machines. Complexity, 4, 30-32.
    • Complexity , vol.4 , pp. 30-32
    • Super1
  • 5
    • 34547853185 scopus 로고    scopus 로고
    • Turing machines can compute unconfutable functions
    • C. Calude, J. Casti & M. Dinneen Eds, London: Springer-Verlag
    • (1998b). Even Turing machines can compute unconfutable functions. In C. Calude, J. Casti & M. Dinneen (Eds.), Unconventional models of computation. London: Springer-Verlag.
    • Unconventional models of computation
    • Even1
  • 6
    • 0002691913 scopus 로고    scopus 로고
    • Narrow versus wide mechanism
    • (2000). Narrow versus wide mechanism. Journal of Philosophy, 96, 5-32.
    • Journal of Philosophy, 96 , pp. 5-32
  • 7
    • 0036577027 scopus 로고    scopus 로고
    • Accelerating Turing machines
    • (2002a). Accelerating Turing machines. Minds and Machines, 12, 281-301.
    • Minds and Machines , vol.12 , pp. 281-301
  • 8
    • 34547846010 scopus 로고    scopus 로고
    • . Hypercomputation. In B. J. Copeland (Ed.) 2002-3.
    • (2002b). Hypercomputation. In B. J. Copeland (Ed.) 2002-3.
  • 10
    • 0013151006 scopus 로고    scopus 로고
    • Ed, Oxford: Oxford University Press
    • (Ed.). (2004). The essential Turing. Oxford: Oxford University Press.
    • (2004) The essential Turing
  • 12
    • 0033116551 scopus 로고    scopus 로고
    • Alan Turing's forgotten ideas in computer science
    • April
    • Copeland, B. J., & Proudfoot, D. (1999). Alan Turing's forgotten ideas in computer science. Scientific American, 280, 76-81 (April).
    • (1999) Scientific American , vol.280 , pp. 76-81
    • Copeland, B.J.1    Proudfoot, D.2
  • 14
    • 34249915760 scopus 로고
    • Foundations of Physics Letters, 4
    • da Costa, N. C. A., & Doria, F. A. (1991). Classical physics and Penrose's thesis. Foundations of Physics Letters, 4, 363-374.
    • (1991) , pp. 363-374
    • da Costa, N.C.A.1    Doria, F.A.2
  • 17
    • 0001060760 scopus 로고
    • Forever is a day: Supertasks in Pitowsky and Malament-Hogarth spacetimes
    • Barman, J., & Norton, J. D. (1993). Forever is a day: Supertasks in Pitowsky and Malament-Hogarth spacetimes. Philosophy of Science, 60, 22-42.
    • (1993) Philosophy of Science , vol.60 , pp. 22-42
    • Barman, J.1    Norton, J.D.2
  • 19
    • 0001772314 scopus 로고
    • Church's thesis and principles for mechanisms
    • J. Barwise, H. J. Keisler & K. Kunen Eds, Amsterdam: North-Holland
    • Gandy, R. (1980). Church's thesis and principles for mechanisms. In J. Barwise, H. J. Keisler & K. Kunen (Eds.), The Kleene symposium. Amsterdam: North-Holland.
    • (1980) The Kleene symposium
    • Gandy, R.1
  • 20
    • 33745832686 scopus 로고    scopus 로고
    • Quantum hypercomputability?
    • Hagar, A., & Korolev, A. (2006). Quantum hypercomputability? Minds and Machines, 16, 87-93.
    • (2006) Minds and Machines , vol.16 , pp. 87-93
    • Hagar, A.1    Korolev, A.2
  • 22
    • 0001512202 scopus 로고
    • Does general relativity allow an observer to view an eternity in a finite time?
    • Hogarth, M. L. (1992). Does general relativity allow an observer to view an eternity in a finite time? Foundations of Physics Letters, 5, 173-181.
    • (1992) Foundations of Physics Letters , vol.5 , pp. 173-181
    • Hogarth, M.L.1
  • 23
    • 34547846009 scopus 로고    scopus 로고
    • . Non-Turing computers and non-Turing computability. PSA, 1, 126-138.
    • (1994). Non-Turing computers and non-Turing computability. PSA, 1, 126-138.
  • 24
    • 24944536216 scopus 로고    scopus 로고
    • Deciding arithmetic using SAD computers
    • (2004). Deciding arithmetic using SAD computers. British Journal for the Philosophy of Science, 55, 681-691.
    • British Journal for the Philosophy of Science , vol.55 , pp. 681-691
  • 25
    • 0036577781 scopus 로고    scopus 로고
    • Minds and Machines, 12
    • Israel, D. (2002). Reflections on Gödel's and Gandy's reflections on Turing's thesis. Minds and Machines, 12, 181-201.
    • (2002) , pp. 181-201
    • Israel, D.1
  • 26
    • 0036868306 scopus 로고    scopus 로고
    • Quantum hypercomputation
    • Kieu, T. D. (2002). Quantum hypercomputation. Minds and Machines, 12, 541-561.
    • (2002) Minds and Machines , vol.12 , pp. 541-561
    • Kieu, T.D.1
  • 27
    • 0003005474 scopus 로고
    • A notion of mechanistic theory
    • Kreisel, G. (1974). A notion of mechanistic theory. Synthese, 29, 11-26.
    • (1974) Synthese , vol.29 , pp. 11-26
    • Kreisel, G.1
  • 28
    • 0012218899 scopus 로고    scopus 로고
    • Review of Pour-El and Richards
    • (1982). Review of Pour-El and Richards. Journal of Symbolic Logic, 47, 900-902.
    • Journal of Symbolic Logic , vol.47 , pp. 900-902
  • 30
    • 0004015419 scopus 로고
    • Iyyun, 39
    • Pitowsky, I. (1990). The physical. Church, thesis and physical computational complexity, Iyyun, 39, 81-99.
    • (1990) , pp. 81-99
    • Pitowsky, I.1
  • 31
    • 0003049828 scopus 로고
    • A computable ordinary differential equation which possesses no computable solution
    • Pour-El, M. B., & Richards, J. I. (1979). A computable ordinary differential equation which possesses no computable solution. Annals of Mathematical Logic, 17, 61-90.
    • (1979) Annals of Mathematical Logic , vol.17 , pp. 61-90
    • Pour-El, M.B.1    Richards, J.I.2
  • 34
    • 0036577395 scopus 로고    scopus 로고
    • Effective computation by humans and machines
    • Shagrir, O. (2002). Effective computation by humans and machines. Minds and Machines, 12, 221-240.
    • (2002) Minds and Machines , vol.12 , pp. 221-240
    • Shagrir, O.1
  • 35
    • 0037312546 scopus 로고    scopus 로고
    • Minds and Machines, 13
    • Shagrir, O., & Pitowsky, I. (2003). Physical hypercomputation and the Church-Turing thesis. Minds and Machines, 13, 87-101.
    • (2003) , pp. 87-101
    • Shagrir, O.1    Pitowsky, I.2
  • 36
    • 34547845021 scopus 로고    scopus 로고
    • Sieg, W. (2002). Calculations by man & machine: Mathematical, presentation. Proceedings of the Cracow international congress of logic, methodology and philosophy of science. Synthese Series, Kluwer Academic Publishers.
    • Sieg, W. (2002). Calculations by man & machine: Mathematical, presentation. Proceedings of the Cracow international congress of logic, methodology and philosophy of science. Synthese Series, Kluwer Academic Publishers.
  • 37
    • 49949116848 scopus 로고    scopus 로고
    • Monist, 82
    • Sieg, W., & Byrnes, J. (1999). An abstract model for parallel computations: Gandy's thesis. Monist, 82, 150-164.
    • (1999) , pp. 150-164
    • Sieg, W.1    Byrnes, J.2
  • 39
    • 84960561455 scopus 로고    scopus 로고
    • Turing, A. M. (1936). On computable numbers, with, an application to the Entscheidungsproblem. Proceedings of the London Mathematical Society (Series 2, 42, pp. 230-265). In Copeland B. J. (Ed.). The essential Turing, 2004).
    • Turing, A. M. (1936). On computable numbers, with, an application to the Entscheidungsproblem. Proceedings of the London Mathematical Society (Series 2, Vol. 42, pp. 230-265). In Copeland B. J. (Ed.). The essential Turing, 2004).
  • 40
    • 79952434483 scopus 로고    scopus 로고
    • Proposed electronic calculator
    • Copeland B. J, Ed
    • (1945). Proposed electronic calculator. In Copeland B. J. (Ed.) Alan Turing's Automatic Computing Engine, 2005.
    • (2005) Alan Turing's Automatic Computing Engine
  • 41
    • 84882498069 scopus 로고    scopus 로고
    • Intelligent machinery
    • (1948). Intelligent machinery. In The essential Turing.
    • The essential Turing


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.