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DMTCS
2003
89views Mathematics» more  DMTCS 2003»
14 years 8 days ago
On the Monotonic Computability of Semi-computable Real Numbers
Let h : N → Q be a computable function. A real number x is h-monotonically computable (h-mc, for short) if there is a computable sequence (xs) of rational numbers which converges...
Xizhong Zheng, George Barmpalias
MST
2008
150views more  MST 2008»
13 years 10 months ago
Coinduction for Exact Real Number Computation
This paper studies coinductive representations of real numbers by signed digit streams and fast Cauchy sequences. It is shown how the associated coinductive principle can be used ...
Ulrich Berger, Tie Hou
STOC
2007
ACM
132views Algorithms» more  STOC 2007»
14 years 11 months ago
On the convergence of Newton's method for monotone systems of polynomial equations
Monotone systems of polynomial equations (MSPEs) are systems of fixed-point equations X1 = f1(X1, . . . , Xn), . . . , Xn = fn(X1, . . . , Xn) where each fi is a polynomial with p...
Stefan Kiefer, Michael Luttenberger, Javier Esparz...
FOSSACS
2004
Springer
14 years 4 months ago
Polynomials for Proving Termination of Context-Sensitive Rewriting
Abstract. We show how to generate well-founded and stable term orderings based on polynomial interpretations over the real numbers. Monotonicity (another usual requirement in termi...
Salvador Lucas