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Journal of Logic and Computation Advance Access published online on August 14, 2008
Journal of Logic and Computation, doi:10.1093/logcom/exn052
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© The Author, 2008. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Original Papers

Complexity Issues in Axiomatic Extensions of Lukasiewicz Logic

Petr Cintula and Petr Hájek *

Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod Vodárenskou vezí 2, 182 07 Prague, Czech Republic.E-mail: cintula{at}cs.cas.cz, hajek{at}cs.cas.cz

Received 15 December 2007.


  Abstract

In this article, the computational complexity of all axiomatic extensions of Lukasiewicz propositional logic L and the arithmetical complexity of both the general and standard semantics of their corresponding predicate logics is determined.

Keywords: Lukasiewicz logic; computational complexity; Komori algebras; MV-algebras

*The work of the first author was partly supported by project 1M0545 of the Ministry of Education, Youth and Sports of the Czech Republic and partly by the Institutional Research Plan AV0Z10300504. The work of the second author was partly supported by grant A100300503 of the Grant Agency of the Academy of Sciences of the Czech Republic and partly by the Institutional Research Plan AV0Z10300504.


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