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AISC
2008
Springer
15 years 1 months ago
Search Techniques for Rational Polynomial Orders
Polynomial interpretations are a standard technique used in almost all tools for proving termination of term rewrite systems (TRSs) automatically. Traditionally, one applies interp...
Carsten Fuhs, Rafael Navarro-Marset, Carsten Otto,...
STOC
1996
ACM
97views Algorithms» more  STOC 1996»
15 years 3 months ago
Deterministic Restrictions in Circuit Complexity
We study the complexity of computing Boolean functions using AND, OR and NOT gates. We show that a circuit of depth d with S gates can be made to output a constant by setting O(S1...
Shiva Chaudhuri, Jaikumar Radhakrishnan
CORR
2008
Springer
125views Education» more  CORR 2008»
14 years 12 months ago
Simultaneous Modular Reduction and Kronecker Substitution for Small Finite Fields
We present algorithms to perform modular polynomial multiplication or modular dot product efficiently in a single machine word. We pack polynomials into integers and perform sever...
Jean-Guillaume Dumas, Laurent Fousse, Bruno Salvy
ICALP
2010
Springer
15 years 4 months ago
On the Relation between Polynomial Identity Testing and Finding Variable Disjoint Factors
We say that a polynomial f(x1, . . . , xn) is indecomposable if it cannot be written as a product of two polynomials that are defined over disjoint sets of variables. The polynom...
Amir Shpilka, Ilya Volkovich
STOC
1999
ACM
81views Algorithms» more  STOC 1999»
15 years 4 months ago
PCP Characterizations of NP: Towards a Polynomially-Small Error-Probability
This paper strengthens the low-error PCP characterization of NP, coming closer to the upper limit of the BGLR conjecture. Consider the task of verifying a witness for the membersh...
Irit Dinur, Eldar Fischer, Guy Kindler, Ran Raz, S...