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» Proof Theory for Kleene Algebra
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POPL
2009
ACM
15 years 10 months ago
Formal certification of code-based cryptographic proofs
As cryptographic proofs have become essentially unverifiable, cryptographers have argued in favor of developing techniques that help tame the complexity of their proofs. Game-base...
Benjamin Grégoire, Gilles Barthe, Santiago ...
JC
2008
92views more  JC 2008»
14 years 9 months ago
Characterizing Valiant's algebraic complexity classes
Valiant introduced 20 years ago an algebraic complexity theory to study the complexity of polynomial families. The basic computation model used is the arithmetic circuit, which ma...
Guillaume Malod, Natacha Portier
ECCC
2008
168views more  ECCC 2008»
14 years 9 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
TPHOL
2005
IEEE
15 years 3 months ago
A HOL Theory of Euclidean Space
We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
John Harrison
FSS
2010
97views more  FSS 2010»
14 years 8 months ago
An early approach toward graded identity and graded membership in set theory
The paper considers an early approach toward a (fuzzy) set theory with a graded membership predicate and a graded equality relation which had been developed by the German mathemat...
Siegfried Gottwald