منابع مشابه
Admissible Rules of Modal Logics
We construct explicit bases of admissible rules for a representative class of normal modal logics (including the systems K4, GL, S4, Grz, and GL.3), by extending the methods of S. Ghilardi and R. Iemhoff. We also investigate the notion of admissible multiple conclusion rules.
متن کاملDescription of Modal Logics Inheriting Admissible Rules for K4
We give a necessary and sufficient condition for any modal logic with fmp to inherit all inference rules admissible in S4. Using this condition we describe all tabular modal logics inheriting inference rules admissible for S4.
متن کاملPreservation of Admissible Rules when Combining Logics
Admissible rules are shown to be conservatively preserved by the meetcombination of a wide class of logics. A basis is obtained for the resulting logic from bases given for the component logics. Structural completeness and decidability of the set of admissible rules are also shown to be preserved, the latter with no penalty on the time complexity. Examples are provided for the meet-combination ...
متن کاملHypersequent 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 admissible rules of Intuitionistic Logic and a class of modal logics were defined in a proof-theoretic framework where the basic objects of the systems are sequent rules. Here, the framework is extended to cover derivability ...
متن کاملA Note on Globally Admissible Inference Rules for Modal and Superintuitionistic Logics
In this shot note we consider globally admissible inference rules. A rule r is globally admissible in a logic L if r is admissible in all logics with the finite model property which extend L. Here we prove a reduction theorem: we show that, for any modal logic L extending K4, a rule r is globally admissible in L iff r is admissible in all tabular logics extending L. The similar result holds for...
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ژورنال
عنوان ژورنال: Journal of Logic and Computation
سال: 2005
ISSN: 1465-363X,0955-792X
DOI: 10.1093/logcom/exi029