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LOGCOM
2010
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13 years 10 months ago
Bases of Admissible Rules of Lukasiewicz Logic
We construct explicit bases of single-conclusion and multiple-conclusion admissible rules of propositional Lukasiewicz logic, and we prove that every formula has an admissibly sat...
Emil Jerábek
LOGCOM
2010
114views more  LOGCOM 2010»
13 years 10 months ago
Admissible Rules of Lukasiewicz Logic
We investigate admissible rules of Lukasiewicz multi-valued propositional logic. We show that admissibility of multiple-conclusion rules in Lukasiewicz logic, as well as validity ...
Emil Jerábek
LOGCOM
2010
104views more  LOGCOM 2010»
13 years 10 months ago
Herbrand's Theorem, Skolemization and Proof Systems for First-Order Lukasiewicz Logic
Abstract. An approximate Herbrand theorem is established for firstorder infinite-valued Lukasiewicz Logic and used to obtain a proof-theoretic proof of Skolemization. These resul...
Matthias Baaz, George Metcalfe