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LOGCOM
2010
135views more  LOGCOM 2010»
13 years 3 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 3 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 3 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