منابع مشابه
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 under which the admissibility problem is coNEXP -hard. We also show that admissibility in several well-known systems (including GL, S4, and IPC ) is in coNE , thus obtaining a sharp complexity estimate for admissibility in...
متن کاملThe complexity of admissible rules of Lukasiewicz logic
We investigate the computational complexity of admissibility of inference rules in infinite-valued Lukasiewicz propositional logic ( L). It was shown in [13] that admissibility in L is checkable in PSPACE. We establish that this result is optimal, i.e., admissible rules of L are PSPACE-complete. In contrast, derivable rules of L are known to be coNP-complete.
متن کاملAdmissible 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 کاملIndependent 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.
متن کاملAdmissible 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 of universal sentences in free MV -algebras, is decidable (in PSPACE ).
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ژورنال
عنوان ژورنال: Archive for Mathematical Logic
سال: 2007
ISSN: 0933-5846,1432-0665
DOI: 10.1007/s00153-006-0028-9