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Volumn 74, Issue 4, 2006, Pages 409-433

Recursive analysis characterized as a class of real recursive functions

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; INTEGER PROGRAMMING; INTEGRAL EQUATIONS; LINEAR ALGEBRA;

EID: 33845538782     PISSN: 01692968     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (16)

References (36)
  • 2
    • 0032296245 scopus 로고    scopus 로고
    • Achilles and the tortoise climbing up the arithmetical hierarchy
    • December
    • Asarin, E., Maler, O.: Achilles and the Tortoise Climbing Up the Arithmetical Hierarchy, Journal of Computer and System Sciences, 57(3), December 1998, 389-398.
    • (1998) Journal of Computer and System Sciences , vol.57 , Issue.3 , pp. 389-398
    • Asarin, E.1    Maler, O.2
  • 4
    • 33645602913 scopus 로고    scopus 로고
    • An analog characterization of elementarily computable functions over the real numbers
    • (J. Díaz, J. Karhumäki, A. Lepisto, D. T. Sannella, Eds.), Springer, Turku, Finland
    • Bournez, O., Hainry, E.: An Analog Characterization of Elementarily Computable Functions Over the Real Numbers, 31th International Colloquium on Automata Languages and Programming (ICALP'04) (J. Díaz, J. Karhumäki, A. Lepisto, D. T. Sannella, Eds.), 3142, Springer, Turku, Finland, 2004.
    • (2004) 31th International Colloquium on Automata Languages and Programming (ICALP'04) , pp. 3142
    • Bournez, O.1    Hainry, E.2
  • 5
    • 33845522082 scopus 로고    scopus 로고
    • Real recursive functions and real extentions of recursive functions
    • (M. Margenstern, Ed.), Springer-Verlag, Saint-Petersburg, Russia
    • Bournez, O., Hainry, E.: Real Recursive Functions and Real Extentions of Recursive Functions, Machines, Computations and Universality (MCU'2004) (M. Margenstern, Ed.), 3354, Springer-Verlag, Saint-Petersburg, Russia, 2004.
    • (2004) Machines, Computations and Universality (MCU'2004) , pp. 3354
    • Bournez, O.1    Hainry, E.2
  • 6
    • 33644529710 scopus 로고    scopus 로고
    • Elementarily computable functions over the real numbers and ℝ-sub-recursive functions
    • December
    • Bournez, O., Hainry, E.: Elementarily Computable Functions Over the Real Numbers and ℝ-Sub-Recursive Functions, Theoretical Computer Science, 348(2-3), December 2005, 130-147.
    • (2005) Theoretical Computer Science , vol.348 , Issue.2-3 , pp. 130-147
    • Bournez, O.1    Hainry, E.2
  • 7
    • 0030258757 scopus 로고    scopus 로고
    • U.S. technological enthusiasm and British technological skepticism in the age of the analog brain
    • October-December ISSN 1058-6180.
    • Bowles, M. D.: U.S. technological enthusiasm and British technological skepticism in the age of the analog brain, IEEE Annals of the History of Computing, 18(4), October-December 1996, 5-15, ISSN 1058-6180.
    • (1996) IEEE Annals of the History of Computing , vol.18 , Issue.4 , pp. 5-15
    • Bowles, M.D.1
  • 8
    • 11944257741 scopus 로고    scopus 로고
    • Computability over topological structures
    • (S. B. Cooper, S. S. Goncharov, Eds.), Kluwer Academic Publishers, New York
    • Brattka, V.: Computability over Topological Structures, in: Computability and Models (S. B. Cooper, S. S. Goncharov, Eds.), Kluwer Academic Publishers, New York, 2003, 93-136.
    • (2003) Computability and Models , pp. 93-136
    • Brattka, V.1
  • 11
    • 0036889222 scopus 로고    scopus 로고
    • An analog characterization of the Grzegorczyk hierarchy
    • Campagnolo, M., Moore, C., Costa, J. F.: An analog characterization of the Grzegorczyk hierarchy, Journal of Complexity, 18(4), 2002, 977-1000.
    • (2002) Journal of Complexity , vol.18 , Issue.4 , pp. 977-1000
    • Campagnolo, M.1    Moore, C.2    Costa, J.F.3
  • 13
    • 0011287535 scopus 로고    scopus 로고
    • Computational models and function algebras
    • (E. R. Griffor, Ed.), North-Holland, Amsterdam, ISBN 0-444-89882-4
    • Clote, P.: Computational Models and Function Algebras, in: Handbook of Computability Theory (E. R. Griffor, Ed.), North-Holland, Amsterdam, 1998, ISBN 0-444-89882-4, 589-681.
    • (1998) Handbook of Computability Theory , pp. 589-681
    • Clote, P.1
  • 15
    • 0141615048 scopus 로고    scopus 로고
    • Analog computers and recursive functions over the reals
    • Graça, D. S., Costa, J. F.: Analog computers and recursive functions over the reals, Journal of Complexity, 19(5), 2003, 644-664.
    • (2003) Journal of Complexity , vol.19 , Issue.5 , pp. 644-664
    • Graça, D.S.1    Costa, J.F.2
  • 17
    • 0001512202 scopus 로고
    • Does general relativity allow an observer to view an eternity in a finite time?
    • Hogarth, M. L.: Does General Relativity Allow an Observer to View an Eternity in a Finite Time?, Foundations of Physics Letters, 5, 1992, 173-181.
    • (1992) Foundations of Physics Letters , vol.5 , pp. 173-181
    • Hogarth, M.L.1
  • 18
    • 0003111227 scopus 로고
    • Egyszerü példa eldönthetetlen aritmetikai problémára
    • Kalmár, L.: Egyszerü példa eldönthetetlen aritmetikai problémára, Mate és fizikai lapok, 50, 1943, 1-23.
    • (1943) Mate És Fizikai Lapok , vol.50 , pp. 1-23
    • Kalmár, L.1
  • 19
    • 0001528080 scopus 로고
    • Extension de la notion de fonction recursive aux fonctions d'une ou plusieurs variables rélles III
    • Lacombe, D.: Extension de la notion de fonction recursive aux fonctions d'une ou plusieurs variables rélles III, Comptes Rendus de l'Académie des Sciences Paris, 241, 1955, 151-153.
    • (1955) Comptes Rendus de L'Académie des Sciences Paris , vol.241 , pp. 151-153
    • Lacombe, D.1
  • 21
    • 0030570631 scopus 로고    scopus 로고
    • Recursion theory on the reals and continuous-time computation
    • 5 August
    • Moore, C.: Recursion theory on the reals and continuous-time computation, Theoretical Computer Science, 162(1), 5 August 1996, 23-44.
    • (1996) Theoretical Computer Science , vol.162 , Issue.1 , pp. 23-44
    • Moore, C.1
  • 22
    • 0038457366 scopus 로고    scopus 로고
    • Infinite limits and R-recursive functions
    • Mycka, J.: Infinite limits and R-recursive functions, Acta Cybernetica, 16, 2003, 83-91.
    • (2003) Acta Cybernetica , vol.16 , pp. 83-91
    • Mycka, J.1
  • 23
    • 0037901174 scopus 로고    scopus 로고
    • μ-Recursion and infinite limits
    • Mycka, J.: μ-Recursion and infinite limits, Theoretical Computer Science, 302, 2003, 123-133.
    • (2003) Theoretical Computer Science , vol.302 , pp. 123-133
    • Mycka, J.1
  • 25
    • 10244239347 scopus 로고    scopus 로고
    • Real recursive functions and their hierarchy
    • Mycka, J., Costa, J. F.: Real recursive functions and their hierarchy, Journal of Complexity, 20(6), 2004, 835-857.
    • (2004) Journal of Complexity , vol.20 , Issue.6 , pp. 835-857
    • Mycka, J.1    Costa, J.F.2
  • 26
    • 33845546571 scopus 로고    scopus 로고
    • Undecidability over continuous-time
    • Submitted to the Oxford University Press
    • Mycka, J., Costa, J. F.: Undecidability over continuous-time, 2005, Submitted to the Logic Journal of the IGPL, Oxford University Press.
    • (2005) Logic Journal of the IGPL
    • Mycka, J.1    Costa, J.F.2
  • 28
    • 55249126756 scopus 로고    scopus 로고
    • Classical recursion theory, volume II
    • North-Holland
    • Odifreddi, P.: Classical Recursion Theory, Volume II, vol. 143 of Studies in Logic and the Foundations of Mathematics, North-Holland, 1999.
    • (1999) Studies in Logic and the Foundations of Mathematics , vol.143
  • 33
    • 85163157556 scopus 로고
    • Mathematical theory of the differential analyser
    • Shannon, C. E.: Mathematical Theory of the Differential Analyser, Journal of Mathematics and Physics MIT, 20, 1941, 337-354.
    • (1941) Journal of Mathematics and Physics MIT , vol.20 , pp. 337-354
    • Shannon, C.E.1
  • 34
    • 0001205769 scopus 로고
    • On an instrument for calculating the integral of the product of two given functions
    • Thomson (Lord Kelvin), W.: On an instrument for calculating the integral of the product of two given functions, Proceedings of the Royal Society of London, 24, 1876.
    • (1876) Proceedings of the Royal Society of London , vol.24
    • Thomson, W.1
  • 35
    • 84960561455 scopus 로고
    • On computable numbers, with an application to the " Entscheidungsproblem
    • Turing, A.: On computable numbers, with an application to the "Entscheidungsproblem", Proceedings of the London Mathematical Society, 42(2), 1936, 230-265.
    • (1936) Proceedings of the London Mathematical Society , vol.42 , Issue.2 , pp. 230-265
    • Turing, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.