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» Admissible Rules of Lukasiewicz Logic
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LFCS
2009
Springer
14 years 4 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 10 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 9 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 10 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. ...