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» Admissible Rules of Lukasiewicz Logic
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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
AML
2006
87views more  AML 2006»
13 years 4 months ago
On the rules of intermediate logics
If the Visser rules are admissible for an intermediate logic, they form a basis for the admissible rules of the logic. How to characterize the admissible rules of intermediate log...
Rosalie Iemhoff
IGPL
2008
85views more  IGPL 2008»
13 years 4 months ago
Independent Bases of Admissible Rules
We show that IPC, K4, GL, and S4, as well as all logics inheriting their admissible rules, have independent bases of admissible rules. Key words: admissible rule, independent basi...
Emil Jerábek