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» Polynomial Interpretations and the Complexity of Algorithms
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COCO
2001
Springer
107views Algorithms» more  COCO 2001»
13 years 10 months ago
In Search of an Easy Witness: Exponential Time vs. Probabilistic Polynomial Time
Restricting the search space {0, 1}n to the set of truth tables of “easy” Boolean functions on log n variables, as well as using some known hardness-randomness tradeoffs, we ...
Russell Impagliazzo, Valentine Kabanets, Avi Wigde...
FSTTCS
2008
Springer
13 years 6 months ago
Complexity Analysis of Term Rewriting Based on Matrix and Context Dependent Interpretations
For a given (terminating) term rewriting system one can often estimate its derivational complexity indirectly by looking at the proof method that established termination. In this s...
Georg Moser, Andreas Schnabl, Johannes Waldmann
RTA
2010
Springer
13 years 9 months ago
Polynomially Bounded Matrix Interpretations
Matrix interpretations can be used to bound the derivational complexity of rewrite systems. We present a criterion that completely characterizes matrix interpretations that are pol...
Johannes Waldmann
JC
2008
77views more  JC 2008»
13 years 5 months ago
A numerical algorithm for zero counting, I: Complexity and accuracy
We describe an algorithm to count the number of distinct real zeros of a polynomial (square) system f. The algorithm performs O(log(nD(f))) iterations (grid refinements) where n is...
Felipe Cucker, Teresa Krick, Gregorio Malajovich, ...
AAAI
2007
13 years 7 months ago
A Reinforcement Learning Algorithm with Polynomial Interaction Complexity for Only-Costly-Observable MDPs
An Unobservable MDP (UMDP) is a POMDP in which there are no observations. An Only-Costly-Observable MDP (OCOMDP) is a POMDP which extends an UMDP by allowing a particular costly a...
Roy Fox, Moshe Tennenholtz