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Continuous and monotone machines

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Publication:5089226
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DOI10.4230/LIPIcs.MFCS.2020.56OpenAlexW3082577523MaRDI QIDQ5089226

Holger Thies, Michal Konečný, Florian Steinberg

Publication date: 18 July 2022

Full work available at URL: https://arxiv.org/abs/2005.01624


zbMATH Keywords

formal proofsproof assistantcomputable analysisCoqexact real computation


Mathematics Subject Classification ID

Theory of computing (68Qxx)




Cites Work

  • Partial combinatory algebras of functions
  • The basic feasible functionals in computable analysis
  • Theory of representations
  • The sequentially realizable functionals
  • Completion of choice
  • Joins in the strong Weihrauch degrees
  • Relative computability and uniform continuity of relations
  • Refinements for Free!
  • The Vitali Covering Theorem in the Weihrauch Lattice
  • On the definitions of computable real continuous functions
  • Higher-Order Computability
  • Computability over the partial continuous functionals
  • The inconsistency of a Brouwerian continuity principle with the Curry-Howard interpretation
  • A Constructive Model of Uniform Continuity
  • Mathematical Knowledge Management
  • Automatic Data Refinement
  • Partiality and recursion in interactive theorem provers – an overview
  • On Computable Numbers, with an Application to the Entscheidungsproblem
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