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» Admissible Rules of Lukasiewicz Logic
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LFCS
2009
Springer
13 years 11 months ago
Hypersequent Systems for the Admissible Rules of Modal and Intermediate Logics
The admissible rules of a logic are those rules under which the set of theorems of the logic is closed. In a previous paper by the authors, formal systems for deriving the admissib...
Rosalie Iemhoff, George Metcalfe
AML
2007
95views more  AML 2007»
13 years 5 months ago
Complexity of admissible rules
We investigate the computational complexity of deciding whether a given inference rule is admissible for some modal and superintuitionistic logics. We state a broad condition unde...
Emil Jerábek
AML
2006
120views more  AML 2006»
13 years 5 months ago
On the infinite-valued Lukasiewicz logic that preserves degrees of truth
Lukasiewicz's infinite-valued logic is commonly defined as the set of formulas that take the value 1 under all evaluations in the Lukasiewicz algebra on the unit real interva...
Josep Maria Font, Àngel J. Gil, Antoni Torr...
ENTCS
2010
119views more  ENTCS 2010»
13 years 5 months ago
A Tableau Method for Checking Rule Admissibility in S4
Rules that are admissible can be used in any derivations in any axiomatic system of a logic. In this paper we introduce a method for checking the admissibility of rules in the mod...
Sergey Babenyshev, Vladimir V. Rybakov, Renate A. ...