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Dialectica logical principles

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Publication:2151422
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DOI10.1007/978-3-030-93100-1_22OpenAlexW4205741318MaRDI QIDQ2151422

Matteo Spadetto, Davide Trotta, V. C. V. de Paiva

Publication date: 1 July 2022

Full work available at URL: https://arxiv.org/abs/2109.08064


zbMATH Keywords

categorical logicdialectica interpretationMarkov and independence of premise principles


Mathematics Subject Classification ID

Logic in computer science (03B70)


Related Items (2)

Dialectica principles via Gödel doctrines ⋮ A characterization of generalized existential completions




Cites Work

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  • Quotient completion for the foundation of constructive mathematics
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  • Categorical logic and type theory
  • Triposes, exact completions, and Hilbert's \(\varepsilon\)-operator
  • Unifying exact completions
  • Tripos theory in retrospect
  • ÜBER EINE BISHER NOCH NICHT BENÜTZTE ERWEITERUNG DES FINITEN STANDPUNKTES
  • Modular correspondence between dependent type theories and categories including pretopoi and topoi
  • Tripos theory
  • Adjointness in Foundations
  • Cut‐Elimination Theorem for the Logic of Constant Domains
  • A functional functional interpretation
  • The existential completion
  • Dialectica models of type theory




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