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LPAR
2010
Springer
13 years 5 months ago
Revisiting Matrix Interpretations for Polynomial Derivational Complexity of Term Rewriting
Matrix interpretations can be used to bound the derivational complexity of term rewrite systems. In particular, triangular matrix interpretations over the natural numbers are known...
Friedrich Neurauter, Harald Zankl, Aart Middeldorp
CORR
2012
Springer
207views Education» more  CORR 2012»
12 years 3 months ago
A baby step-giant step roadmap algorithm for general algebraic sets
Abstract. Let R be a real closed field and D ⊂ R an ordered domain. We give an algorithm that takes as input a polynomial Q ⊂ D[X1, . . . , Xk], and computes a description of ...
Saugata Basu, Marie-Françoise Roy, Mohab Sa...
CSL
2005
Springer
14 years 1 months ago
Complexity and Intensionality in a Type-1 Framework for Computable Analysis
Implementations of real number computations have largely been unusable in practice because of their very bad performance, especially in comparison to floating point arithmetic imp...
Branimir Lambov
ISSAC
1989
Springer
74views Mathematics» more  ISSAC 1989»
13 years 11 months ago
Lookup Tables, Recurrences and Complexity
The use of lookup tables can reduce the complexity of calculation of functions defined typically by mathematical recurrence relations. Although this technique has been adopted by...
Richard J. Fateman
JC
2006
139views more  JC 2006»
13 years 7 months ago
The basic feasible functionals in computable analysis
We give a correspondence between two notions of complexity for real numbers and functions: poly-time computability according to Ko and a notion that arises naturally when one cons...
Branimir Lambov