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A Case Study in Computer-Assisted Meta-reasoning

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Distributed Computing and Artificial Intelligence, Volume 2: Special Sessions 18th International Conference (DCAI 2021)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 332))

Abstract

We discuss human and mechanized reasoning with regards to the use of proof assistants, in particular Isabelle/HOL. We use the development of novel NAND- and NOR-based micro provers as a case study. Current, widely available automated reasoning technology is suitable for assisting humans with certain types of reasoning, like finding proofs for well-defined theorems. Other types of reasoning, like the discovery of new theorems, are notoriously difficult for mechanized reasoning. Our case study indicates that proof assistants are well suited as development tools for assuredly correct programs in languages like Haskell.

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Authors and Affiliations

  1. Technical University of Denmark, Kongens Lyngby, Denmark

    Asta Halkjær From, Simon Tobias Lund & Jørgen Villadsen

Authors
  1. Asta Halkjær From
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  2. Simon Tobias Lund
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  3. Jørgen Villadsen
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Corresponding author

Correspondence to Jørgen Villadsen .

Editor information

Editors and Affiliations

  1. BISITE, Digital Innovation Hub, University of Salamanca, Salamanca, Spain

    Sara Rodríguez González

  2. Centro ALGORITMI, Universidade do Minho, Braga, Portugal

    José Manuel Machado

  3. BISITE, University of Salamanca, Salamanca, Spain

    Alfonso González-Briones

  4. aleja Tysiąclecia Państwa Polskiego 7, Kielce University of Technology, Kielce, Poland

    Jaroslaw Wikarek

  5. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Roussanka Loukanova

  6. Cerca Trova Ltd, Sofia, Bulgaria

    George Katranas

  7. BISITE, Digital Innovation Hub, University of Salamanca, Salamanca, Salamanca, Spain

    Roberto Casado-Vara

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From, A.H., Lund, S.T., Villadsen, J. (2022). A Case Study in Computer-Assisted Meta-reasoning. In: González, S.R., et al. Distributed Computing and Artificial Intelligence, Volume 2: Special Sessions 18th International Conference. DCAI 2021. Lecture Notes in Networks and Systems, vol 332. Springer, Cham. https://doi.org/10.1007/978-3-030-86887-1_5

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