메뉴 건너뛰기




Volumn 13, Issue , 1998, Pages 124-157

Proof theory and computational analysis

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHEBYSHEV APPROXIMATION; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; FUNCTION EVALUATION; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; POLYNOMIALS;

EID: 0003575974     PISSN: 15710661     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1571-0661(05)80219-1     Document Type: Conference Paper
Times cited : (18)

References (24)
  • 3
    • 0000007867 scopus 로고
    • Which set existence axioms are needed to prove the separable Hahn - Banach theorem? Ann. Pure Appl
    • Brown D.K., Simpson S.G. Which set existence axioms are needed to prove the separable Hahn - Banach theorem? Ann. Pure Appl. Logic. 31:1986;123-144
    • (1986) Logic , vol.31 , pp. 123-144
    • Brown, D.K.1    Simpson, S.G.2
  • 4
    • 77956948564 scopus 로고
    • Theories of finite type related to mathematical practice
    • J. Barwise. Amsterdam: North - Holland
    • Feferman S. Theories of finite type related to mathematical practice. Barwise J. Handbook of Mathematical Logic. 1977;913-972 North - Holland, Amsterdam
    • (1977) Handbook of Mathematical Logic , pp. 913-972
    • Feferman, S.1
  • 5
    • 21844514558 scopus 로고
    • A feasible theory for analysis
    • Ferreira F. A feasible theory for analysis. J. Smybolic Logic. 59:1994;1001-1011
    • (1994) J. Smybolic Logic , vol.59 , pp. 1001-1011
    • Ferreira, F.1
  • 7
    • 84977256167 scopus 로고
    • Über eine bisher noch nicht benützte Erweiterung des finiten Standpunktes
    • Gödel K. Über eine bisher noch nicht benützte Erweiterung des finiten Standpunktes. Dialectica. 12:1958;280-287
    • (1958) Dialectica , vol.12 , pp. 280-287
    • Gödel, K.1
  • 9
    • 0000021177 scopus 로고
    • Hereditarily majorizable functionals of finite type
    • Howard W.A. Hereditarily majorizable functionals of finite type. Troelstra. 1973
    • (1973) Troelstra
    • Howard, W.A.1
  • 11
    • 0001763953 scopus 로고
    • Effective bounds from ineffective proofs in analysis: An application of functional interpretation and majorization
    • Kohlenbach U. Effective bounds from ineffective proofs in analysis: an application of functional interpretation and majorization. J. Symbolic Logic. 57:1992;1239-1273
    • (1992) J. Symbolic Logic , vol.57 , pp. 1239-1273
    • Kohlenbach, U.1
  • 12
    • 38249000253 scopus 로고
    • Effective moduli from ineffective uniqueness proofs. An unwinding of de la Vallée Poussin's proof for Chebycheff approximation
    • Kohlenbach U. Effective moduli from ineffective uniqueness proofs. An unwinding of de La Vallée Poussin's proof for Chebycheff approximation. Ann. Pure Appl. Logic. 64:1993;27-94
    • (1993) Ann. Pure Appl. Logic. , vol.64 , pp. 27-94
    • Kohlenbach, U.1
  • 13
    • 84963434645 scopus 로고
    • New effective moduli of uniqueness and uniform a - Priori estimates for constants of strong unicity by logical analysis of known proofs in best approximation theory
    • Kohlenbach U. New effective moduli of uniqueness and uniform a - priori estimates for constants of strong unicity by logical analysis of known proofs in best approximation theory. Numer. Funct. Anal. and Optimiz. 14:1993;581-606
    • (1993) Numer. Funct. Anal. and Optimiz. , vol.14 , pp. 581-606
    • Kohlenbach, U.1
  • 15
    • 18944398929 scopus 로고
    • U. Kohlenbach. Frankfurt: Habilitationsschrift
    • Kohlenbach U. Real growth in standard parts of analysis. 1995;xv +166 Habilitationsschrift, Frankfurt
    • (1995) Real Growth in Standard Parts of Analysis , pp. 166
  • 16
    • 0030300518 scopus 로고    scopus 로고
    • Mathematically strong subsystems of analysis with low rate of growth of provably recursive functionals
    • Kohlenbach U. Mathematically strong subsystems of analysis with low rate of growth of provably recursive functionals. Arch. Math. Logic. 36:1996;31-71
    • (1996) Arch. Math. Logic , vol.36 , pp. 31-71
    • Kohlenbach, U.1
  • 17
    • 85044493270 scopus 로고    scopus 로고
    • Elimination of Skolem functions for monotone formulas in analysis
    • To appear in
    • Kohlenbach, U., Elimination of Skolem functions for monotone formulas in analysis. To appear in: Archive for Mathematical Logic.
    • Archive for Mathematical Logic
    • Kohlenbach, U.1
  • 18
    • 18944373548 scopus 로고    scopus 로고
    • The use of a logical principle of uniform boundedness in analysis
    • To appear in Synthese Library, Kluwer Academic Publisher
    • Kohlenbach, U., The use of a logical principle of uniform boundedness in analysis. To appear in: Proc. 'Logic in Florence 1995.' Synthese Library Kluwer Academic Publisher.
    • Proc. 'Logic in Florence 1995'
    • Kohlenbach, U.1
  • 19
    • 0000190786 scopus 로고    scopus 로고
    • Arithmetizing proofs in analysis
    • To appear in Springer Lecture Notes in Logic
    • Kohlenbach, U., Arithmetizing proofs in analysis. To appear in: Proc. Logic Colloquium 96 (San Sebastian) Springer Lecture Notes in Logic.
    • Proc. Logic Colloquium 96 (San Sebastian)
    • Kohlenbach, U.1
  • 20
    • 85044492369 scopus 로고    scopus 로고
    • On the arithmetical content of restricted forms of comprehension, choice and general uniform boundedness
    • To appear in
    • Kohlenbach, U., On the arithmetical content of restricted forms of comprehension, choice and general uniform boundedness. To appear in: Ann. Pure Applied Logic.
    • Ann. Pure Applied Logic
    • Kohlenbach, U.1
  • 21
    • 0010047960 scopus 로고    scopus 로고
    • On the no-counterexample interpretation
    • To appear in
    • Kohlenbach, U., On the no-counterexample interpretation. To appear in: J. Symbolic Logic.
    • J. Symbolic Logic
    • Kohlenbach, U.1
  • 22
    • 0001695955 scopus 로고
    • Existence and feasibility in arithmetic
    • Parikh R.J. Existence and feasibility in arithmetic. J. Symbolic Logic. 36:1971;494-508
    • (1971) J. Symbolic Logic , vol.36 , pp. 494-508
    • Parikh, R.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.