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Realizability interpretation of proofs in constructive analysis

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Publication:1015381
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DOI10.1007/s00224-007-9027-4zbMath1166.03035OpenAlexW2030292569MaRDI QIDQ1015381

Helmut Schwichtenberg

Publication date: 8 May 2009

Published in: Theory of Computing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00224-007-9027-4


zbMATH Keywords

realizabilityprogram extractionintermediate value theoremcontinuous inverse functionnon-computational quantifier


Mathematics Subject Classification ID

Constructive and recursive analysis (03F60) Mechanization of proofs and logical operations (03B35)


Related Items

Unnamed Item ⋮ Proofs, programs, processes ⋮ Program extraction in exact real arithmetic ⋮ A computer-verified monadic functional implementation of the integral ⋮ From Coinductive Proofs to Exact Real Arithmetic



Cites Work

  • Continuity of monotone functions
  • Term rewriting for normalization by evaluation.
  • Uniform Heyting arithmetic
  • Metamathematical investigation of intuitionistic arithmetic and analysis. With contributions by C. A. Smorynski, J. I. Zucker and W. A. Howard
  • ÜBER EINE BISHER NOCH NICHT BENÜTZTE ERWEITERUNG DES FINITEN STANDPUNKTES
  • Exact calculation of inverse functions
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