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CIE
2010
Springer
14 years 1 months ago
Circuit Complexity and Multiplicative Complexity of Boolean Functions
In this note, we use lower bounds on Boolean multiplicative complexity to prove lower bounds on Boolean circuit complexity. We give a very simple proof of a 7n/3 − c lower bound ...
Arist Kojevnikov, Alexander S. Kulikov
RTA
2010
Springer
14 years 16 days ago
Modular Complexity Analysis via Relative Complexity
Abstract. In this paper we introduce a modular framework which allows to infer (feasible) upper bounds on the (derivational) complexity of term rewrite systems by combining differ...
Harald Zankl, Martin Korp
FM
2003
Springer
109views Formal Methods» more  FM 2003»
14 years 1 months ago
Certifying and Synthesizing Membership Equational Proofs
As the systems we have to specify and verify become larger and more complex, there is a mounting need to combine different tools and decision procedures to accomplish large proof ...
Grigore Rosu, Steven Eker, Patrick Lincoln, Jos&ea...
TCS
2011
13 years 3 months ago
Realizability models and implicit complexity
New, simple, proofs of soundness (every representable function lies in a given complexity class) for Elementary Affine Logic, LFPL and Soft Affine Logic are presented. The proofs ...
Ugo Dal Lago, Martin Hofmann
MST
2007
167views more  MST 2007»
13 years 8 months ago
The Complexity of Polynomial-Time Approximation
In 1996, Khanna and Motwani [KM96] proposed three logic-based optimization problems constrained by planar structure, and offered the hypothesis that these putatively fundamental ...
Liming Cai, Michael R. Fellows, David W. Juedes, F...