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The proof monad

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Publication:974136
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DOI10.1016/j.jlap.2010.03.002zbMath1208.68144OpenAlexW2074233181MaRDI QIDQ974136

Florent Kirchner, César A. Muñoz

Publication date: 27 May 2010

Published in: The Journal of Logic and Algebraic Programming (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jlap.2010.03.002


zbMATH Keywords

category theorydeductive strategiesmonadic structuresproof languages


Mathematics Subject Classification ID

Semantics in the theory of computing (68Q55) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15)


Related Items (1)

The Strategy Challenge in SMT Solving


Uses Software

  • ACL2
  • Coq
  • PVS
  • LCF
  • ALF


Cites Work

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  • Notions of computation and monads
  • Simple consequence relations
  • Categorical logic and type theory
  • Theorem proving modulo
  • Edinburgh LCF. A mechanized logic of computation
  • PVS#: Streamlined Tacticals for PVS
  • Tinycals: Step by Step Tacticals
  • The duality of computation
  • Locally cartesian closed categories and type theory
  • Crafting a Proof Assistant
  • HYPERDOCTRINES, NATURAL DEDUCTION AND THE BECK CONDITION
  • Adjointness in Foundations
  • Deductive systems and categories


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