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» Proofs, Programs and Abstract Complexity
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FROCOS
2007
Springer
15 years 8 months ago
Hierarchical and Modular Reasoning in Complex Theories: The Case of Local Theory Extensions
Abstract. We present an overview of results on hierarchical and modular reasoning in complex theories. We show that for a special type of extensions of a base theory, which we call...
Viorica Sofronie-Stokkermans
ICTCS
2003
Springer
15 years 7 months ago
On the Computational Complexity of Cut-Elimination in Linear Logic
Abstract. Given two proofs in a logical system with a confluent cutelimination procedure, the cut-elimination problem (CEP) is to decide whether these proofs reduce to the same no...
Harry G. Mairson, Kazushige Terui
COCO
1993
Springer
133views Algorithms» more  COCO 1993»
15 years 6 months ago
On Span Programs
We introduce a linear algebraic model of computation, the Span Program, and prove several upper and lower bounds on it. These results yield the following applications in complexit...
Mauricio Karchmer, Avi Wigderson
102
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CACM
2007
164views more  CACM 2007»
15 years 2 months ago
Is abstraction the key to computing?
ACTION THE KEY TO COMPUTING? Why is it that some software engineers and computer scientists are able to produce clear, elegant designs and programs, while others cannot? Is it poss...
Jeff Kramer
103
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CORR
2002
Springer
111views Education» more  CORR 2002»
15 years 2 months ago
The Fastest and Shortest Algorithm for All Well-Defined Problems
An algorithm M is described that solves any well-defined problem p as quickly as the fastest algorithm computing a solution to p, save for a factor of 5 and loworder additive term...
Marcus Hutter