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» A lower bound for intuitionistic logic
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JSYML
2007
85views more  JSYML 2007»
14 years 9 months ago
Lower bounds for modal logics
We give an exponential lower bound on number of proof-lines in the proof system K of modal logic, i.e., we give an example of K-tautologies 1, 2, . . . s.t. every K-proof of i must...
Pavel Hrubes
CORR
2010
Springer
149views Education» more  CORR 2010»
14 years 9 months ago
Lower Bounds for the Complexity of Monadic Second-Order Logic
Courcelle's famous theorem from 1990 states that any property of graphs definable in monadic second-order logic (MSO2) can be decided in linear time on any class of graphs of ...
Stephan Kreutzer, Siamak Tazari
JACM
2002
122views more  JACM 2002»
14 years 9 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer
75
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MLQ
2010
99views more  MLQ 2010»
14 years 8 months ago
Proof interpretations with truth
This article systematically investigates so-called “truth variants” of several functional interpretations. We start by showing a close relation between two variants of modifi...
Jaime Gaspar, Paulo Oliva
TCS
2002
14 years 9 months ago
Martin's game: a lower bound for the number of sets
We investigate Martin's game (as described in Arruda et al. (Eds.), On Random R. E. Sets, Non-Classical Logics, Model Theory and Computability, North-Holland, Amsterdam, 1977...
M. Ageev