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Journal of Logic and Computation Advance Access originally published online on September 16, 2006
Journal of Logic and Computation 2006 16(5):671-684; doi:10.1093/logcom/exl030
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© The Author, 2006. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Original Articles

On Realization of Formula -modality by Evidence Terms

Natalia Rubtsova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics 119992, Leninskie Gory 1, Moscow, Russia.

E-mail: natalya_rubtsova{at}mail.ru

We introduce a logic of evidence-based knowledge Formula in which the evidence part is based on logic of proofs with negative checker Formula . The later is obtained from the Logic of proofs Formula by adding a new unary operation of negative checker ‘?’ and the corresponding axiom. We define Kripke-style models for Formula and prove the completeness with respect to this semantics. We also define the logic of justified knowledge for Formula .

Keywords: Logic of proofs; Logic of evidence-based knowledge; Epistemic modal logic S5; Logic of proofs with negative checker


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