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Formalizing ordinal partition relations using Isabelle/HOL

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00559684" target="_blank" >RIV/67985840:_____/22:00559684 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1080/10586458.2021.1980464" target="_blank" >https://doi.org/10.1080/10586458.2021.1980464</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1080/10586458.2021.1980464" target="_blank" >10.1080/10586458.2021.1980464</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Formalizing ordinal partition relations using Isabelle/HOL

  • Original language description

    This is an overview of a formalization project in the proof assistant Isabelle/HOL of a number of research results in infinitary combinatorics and set theory (more specifically in ordinal partition relations) by Erdős-Milner, Specker, Larson and Nash-Williams, leading to Larson’s proof of the unpublished result by E.C. Milner asserting that for all (Formula presented.), (Formula presented.). This material has been recently formalised by Paulson and is available on the Archive of Formal Proofs, here we discuss some of the most challenging aspects of the formalization process. This project is also a demonstration of working with Zermelo–Fraenkel set theory in higher-order logic.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GX20-31529X" target="_blank" >GX20-31529X: Abstract convergence schemes and their complexities</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2022

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Experimental Mathematics

  • ISSN

    1058-6458

  • e-ISSN

    1944-950X

  • Volume of the periodical

    31

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    18

  • Pages from-to

    383-400

  • UT code for WoS article

    000706273600001

  • EID of the result in the Scopus database

    2-s2.0-85116784275