Embedding Logics into Product Logic

  title={Embedding Logics into Product Logic},
  author={Matthias Baaz and Petr H{\'a}jek and David Svejda and Jan Kraj{\'i}cek},
  journal={Studia Logica},
We construct a faithful interpretation of Lukasiewicz's logic in the product logic (both propositional and predicate). Using known facts it follows that the product predicate logic is not recursively axiomatizable. We prove a completeness theorem for the product logic extended by a unary connective 4 of Baaz 1]. We show that GG odel's logic is a sublogic of this extended product logic. We also prove NP-completeness of the set of propositional formulas satissable in product logic (resp. in GG… CONTINUE READING
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Arithmetische Klassi kation der Formelnmengen der unendlichwertigen Logik Thesis, ETH Z

  • M. Ragaz
  • urich,
  • 1981
Highly Influential
7 Excerpts

nite-valued G odel Logics with 0-1-Projections and Relativizations. in: (Hajek, ed.) G odel'96 - Logical Foundations of Mathematics, Computer Science and Physics - Kurt G odel's legacy

  • M. Baaz
  • 1996
Highly Influential
7 Excerpts

A preliminary investigation of the in nitely many-valued predicate calculus Thesis

  • J. Rutledge
  • Cornell University,
  • 1959
Highly Influential
4 Excerpts

Bounded arithmetic, propositional logic and complexity theory

  • J. Kraj cek
  • Encyclopedia of Mathematics and Its Applications…
  • 1995

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