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» The Proof Complexity of Linear Algebra
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POPL
2009
ACM
14 years 8 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 ...
CSL
2005
Springer
14 years 1 months ago
Permutative Logic
Recent work establishes a direct link between the complexity of a linear logic proof in terms of the exchange rule and the topological complexity of its corresponding proof net, ex...
Jean-Marc Andreoli, Gabriele Pulcini, Paul Ruet
CSR
2007
Springer
14 years 2 months ago
On the Complexity of Matrix Rank and Rigidity
We revisit a well studied linear algebraic problem, computing the rank and determinant of matrices, in order to obtain completeness results for small complexity classes. In partic...
Meena Mahajan, Jayalal M. N. Sarma
LPAR
2010
Springer
13 years 5 months ago
Revisiting Matrix Interpretations for Polynomial Derivational Complexity of Term Rewriting
Matrix interpretations can be used to bound the derivational complexity of term rewrite systems. In particular, triangular matrix interpretations over the natural numbers are known...
Friedrich Neurauter, Harald Zankl, Aart Middeldorp
ECCC
2008
168views more  ECCC 2008»
13 years 8 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