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» Polynomial Constants are Decidable
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AISC
2008
Springer
13 years 10 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»
14 years 3 days 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»
13 years 8 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
14 years 23 days 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»
14 years 8 days 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...