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IM
2007
13 years 7 months ago
Real Number Labelings for Paths and Cycles
The problem of radio channel assignments with multiple levels of interference depending on distance can be modeled using graph theory. The authors previously introduced a model of...
Jerrold R. Griggs, Xiaohua Teresa Jin
DMTCS
2003
89views Mathematics» more  DMTCS 2003»
13 years 9 months 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
ICALP
2007
Springer
13 years 11 months ago
A Generalization of Cobham's Theorem to Automata over Real Numbers
Abstract. This paper studies the expressive power of finite-state automata recognizing sets of real numbers encoded positionally. It is known that the sets that are definable in th...
Bernard Boigelot, Julien Brusten
CIE
2005
Springer
13 years 9 months ago
Shrad: A Language for Sequential Real Number Computation
Since Di Gianantonio [1993] introduced his semantics for exact real omputation, there has always been a struggle to maintain data abstraction and efficiency as much as possible. T...
Amin Farjudian
CORR
2010
Springer
136views Education» more  CORR 2010»
13 years 7 months ago
On the Sets of Real Numbers Recognized by Finite Automata in Multiple Bases
This article studies the expressive power of finite automata recognizing sets of real numbers encoded in positional notation. We consider Muller automata as well as the restricted ...
Bernard Boigelot, Julien Brusten, Véronique...