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Verifying that P is not equal to NP using a theorem prover
Uppsala University, Disciplinary Domain of Humanities and Social Sciences, Faculty of Social Sciences, Department of Informatics and Media, Information Systems.
2013 (English)Report (Other academic)
Abstract [en]

The  problem  of computing whether any formula  in propositional logic is satisfiable is not  in P .  Therefore, P  is not  equal  to  NP .  In the first- order theory B, axiomatizing Turing’s theory of computing, three versions of the proofs  are  presented.  First, an  informal  (conceptual)  proof  about formal  proofs.    Second,  a  more  formal  proof  in  Hilbert’s  proof  theory. Third, a formal  proof in Hilbert’s proof theory, using  a theorem prover.

Place, publisher, year, edition, pages
Uppsala: Department of Informatics and Media , 2013. , 36 p.
Series
Research report / Uppsala University, Department of Information Science, ISSN 1403-7572 ; 2013:2
Keyword [en]
P is not equal to NP, theorem prover
National Category
Information Systems, Social aspects
Research subject
Computer Systems Sciences
Identifiers
URN: urn:nbn:se:uu:diva-207452OAI: oai:DiVA.org:uu-207452DiVA: diva2:648241
Available from: 2013-09-13 Created: 2013-09-13 Last updated: 2013-12-12Bibliographically approved

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Tärnlund rapport IM1302(1070 kB)262 downloads
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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • 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
  • html
  • text
  • asciidoc
  • rtf