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» Unsound Theorem Proving
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STOC
2010
ACM
168views Algorithms» more  STOC 2010»
14 years 4 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
JCT
2010
113views more  JCT 2010»
13 years 6 months ago
Equations resolving a conjecture of Rado on partition regularity
A linear equation L is called k-regular if every k-coloring of the positive integers contains a monochromatic solution to L. Richard Rado conjectured that for every positive intege...
Boris Alexeev, Jacob Tsimerman
POPL
2009
ACM
14 years 8 months ago
The semantics of progress in lock-based transactional memory
Transactional memory (TM) is a promising paradigm for concurrent programming. Whereas the number of TM implementations is growing, however, little research has been conducted to p...
Rachid Guerraoui, Michal Kapalka
STOC
2009
ACM
171views Algorithms» more  STOC 2009»
14 years 8 months ago
On the geometry of graphs with a forbidden minor
We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
James R. Lee, Anastasios Sidiropoulos
POPL
2003
ACM
14 years 7 months ago
Pure patterns type systems
We introduce a new framework of algebraic pure type systems in which we consider rewrite rules as lambda terms with patterns and rewrite rule application as abstraction applicatio...
Gilles Barthe, Horatiu Cirstea, Claude Kirchner, L...