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Machine-checked Proof of the Church-Rosser Theorem for the Lambda Calculus Using the Barendregt Variable Convention in Constructive Type Theory

  • Published:2018-10 Issue: Volume:338 Page:79-95
  • ISSN:1571-0661
  • Container-title:Electronic Notes in Theoretical Computer Science
  • language:en
  • Short-container-title:Electronic Notes in Theoretical Computer Science

Author:

Copello Ernesto,Szasz Nora,Tasistro Álvaro

Funder

Agencia Nacional de Investigación e Innovación

Publisher

Elsevier BV

Subject

General Computer Science,Theoretical Computer Science

Reference10 articles.

1. The λ-calculus Its Syntax and Semantics;Barendregt,1984

2. On the Formalisation of the Metatheory of the Lambda Calculus and Languages with Binders;Copello,2017

3. Alpha-structural induction and recursion for the λ-calculus in constructive type theory;Copello;Electronic Notes in Theoretical Computer Science,2016

4. Intuitionistic type theory;Martin-Löf,1984

5. Towards a Practical Programming Language Based on Dependent Type Theory;Norell,2007

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2. Formalization of Lambda Calculus with Explicit Names as a Nominal Reasoning Framework;Dependable Software Engineering. Theories, Tools, and Applications;2023-12-15

3. Nominal Sets in Agda - A Fresh and Immature Mechanization;Electronic Proceedings in Theoretical Computer Science;2023-03-23

4. Formalization of metatheory of the Lambda Calculus in constructive type theory using the Barendregt variable convention;Mathematical Structures in Computer Science;2021-03

5. Strong Normalization for the Simply-Typed Lambda Calculus in Constructive Type Theory Using Agda;Electronic Notes in Theoretical Computer Science;2020-09
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