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Towards a practical library for monadic equational reasoning in Coq

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Publication:6109209
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DOI10.1007/978-3-031-16912-0_6OpenAlexW4296963110MaRDI QIDQ6109209

Ayumu Saito, Reynald Affeldt

Publication date: 30 June 2023

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-16912-0_6



Mathematics Subject Classification ID

Mathematical aspects of software engineering (specification, verification, metrics, requirements, etc.) (68N30)




Cites Work

  • Interactive theorem proving and program development. Coq'Art: the calculus of inductive constructions. Foreword by Gérard Huet and Christine Paulin-Mohring.
  • Program extraction for mutable arrays
  • Declarative pearl: deriving monadic quicksort
  • Handling local state with global state
  • A hierarchy of monadic effects for program verification using equational reasoning
  • Packaging Mathematical Structures
  • Type-Based Termination with Sized Products
  • Modular Monad Transformers
  • Competing Inheritance Paths in Dependent Type Theory: A Case Study in Functional Analysis
  • A trustful monad for axiomatic reasoning with probability and nondeterminism
  • Just do it
  • MRI: Modular reasoning about interference in incremental programming




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