Automated deduction in multiple-valued logics
Automated deduction in multiple-valued logics
Fuzzy logic and arithmetical hierarchy
Fuzzy Sets and Systems
Tableau method for residuated logic
Fuzzy Sets and Systems
First-order logic and automated theorem proving (2nd ed.)
First-order logic and automated theorem proving (2nd ed.)
Fuzzy logic: mathematical tools for approximate reasoning
Fuzzy logic: mathematical tools for approximate reasoning
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In this paper a sound and complete tableau system for the Rational Pavelka Logic is introduced. The completeness is proved thanks to fuzzy hilbertian system formulated by Hajek. A fuzzy tableau cut rule is introduced but a cut elimination theorem is proved.