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Informal and formal constructive mathematics
Number of Authors: 21997 (English)Report (Refereed)
Abstract [en]

We first prove, informally but constructively, that Z is a ring without zero-divisors. Then, using Per Martin-Löf's type theory, we establish the same result formally. This is done following the informal reasoning closely. The proofs are automatically checked by using the proof-checker ``TWB'' developed by us at SICS. In the proofs we use only the basic set-theoretic axioms in type theory.

Place, publisher, year, edition, pages
Swedish Institute of Computer Science , 1997, 1. , p. 187
Series
SICS Research Report, ISSN 0283-3638 ; R97:02
Keywords [en]
Type theory, Constructive mathematics, Automatic proof checking, Formal and informal basic arithmetic
National Category
Computer and Information Sciences
Identifiers
URN: urn:nbn:se:ri:diva-22155OAI: oai:DiVA.org:ri-22155DiVA, id: diva2:1041698
Available from: 2016-10-31 Created: 2016-10-31 Last updated: 2018-01-14Bibliographically approved

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
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