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ECCC
2008
168views more  ECCC 2008»
15 years 6 months ago
Algebrization: A New Barrier in Complexity Theory
Any proof of P = NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does n...
Scott Aaronson, Avi Wigderson
TLCA
2007
Springer
16 years 6 days ago
Embedding Pure Type Systems in the Lambda-Pi-Calculus Modulo
The lambda-Pi-calculus allows to express proofs of minimal predicate logic. It can be extended, in a very simple way, by adding computation rules. This leads to the lambda-Pi-calcu...
Denis Cousineau 0002, Gilles Dowek
LPNMR
2005
Springer
15 years 11 months ago
An Algebraic Account of Modularity in ID-Logic
ID-logic uses ideas from the field of logic programming to extend second order logic with non-monotone inductive defintions. In this work, we reformulate the semantics of this lo...
Joost Vennekens, Marc Denecker
AAAI
1994
15 years 7 months ago
Soundness and Completeness of a Logic Programming Approach to Default Logic
We present a method of representing some classes of default theories as normal logic programs. The main point is that the standard semantics (i.e. SLDNF-resolution) computes answe...
Grigoris Antoniou, Elmar Langetepe
ACTA
2006
108views more  ACTA 2006»
15 years 6 months ago
Refinement verification of the lazy caching algorithm
The lazy caching algorithm of Afek, Brown, and Merrit (1993) is a protocol that allows the use of local caches with delayed updates. It results in a memory model that is not atomi...
Wim H. Hesselink