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» On the Complexity of Elementary Modal Logics
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CSL
2006
Springer
13 years 11 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
13 years 9 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
13 years 11 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»
13 years 7 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»
13 years 7 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