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» On the Complexity of Elementary Modal Logics
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CSL
2006
Springer
15 years 5 months ago
Logical Omniscience Via Proof Complexity
The Hintikka-style modal logic approach to knowledge has a well-known defect of logical omniscience, i.e., an unrealistic feature that an agent knows all logical consequences of he...
Sergei N. Artëmov, Roman Kuznets
FOSSACS
2008
Springer
15 years 3 months ago
Beyond Rank 1: Algebraic Semantics and Finite Models for Coalgebraic Logics
Coalgebras provide a uniform framework for the semantics of a large class of (mostly non-normal) modal logics, including e.g. monotone modal logic, probabilistic and graded modal l...
Dirk Pattinson, Lutz Schröder
POPL
2000
ACM
15 years 6 months ago
(Optimal) Duplication is not Elementary Recursive
In 1998 Asperti and Mairson proved that the cost of reducing a lambda-term using an optimal lambda-reducer (a la L´evy) cannot be bound by any elementary function in the number o...
Andrea Asperti, Paolo Coppola, Simone Martini
CORR
2004
Springer
98views Education» more  CORR 2004»
15 years 1 months ago
A feasible algorithm for typing in Elementary Affine Logic
We give a new type inference algorithm for typing lambda-terms in Elementary Affine Logic (EAL), which is motivated by applications to complexity and optimal reduction. Following p...
Patrick Baillot, Kazushige Terui
APAL
2010
115views more  APAL 2010»
15 years 1 months ago
Kripke semantics for provability logic GLP
A well-known polymodal provability logic GLP is complete w.r.t. the arithmetical semantics where modalities correspond to reflection principles of restricted logical complexity in...
Lev D. Beklemishev