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» Degrees of Weakly Computable Reals
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JSYML
2002
92views more  JSYML 2002»
14 years 11 months ago
Groundwork for Weak Analysis
Abstract. This paper develops the very basic notions of analysis in a weak secondorder theory of arithmetic BTFA whose provably total functions are the polynomial time computable f...
António M. Fernandes, Fernando Ferreira
TCS
2008
14 years 11 months ago
Real algebraic numbers and polynomial systems of small degree
We present exact and complete algorithms based on precomputed Sturm-Habicht sequences, discriminants and invariants, that classify, isolate with rational points and compare the re...
Ioannis Z. Emiris, Elias P. Tsigaridas
TCS
2011
14 years 6 months ago
Computational processes, observers and Turing incompleteness
We propose a formal definition of Wolfram’s notion of computational process based on iterated transducers together with a weak observer, a model of computation that captures so...
Klaus Sutner
MOC
2010
14 years 6 months ago
A new elasticity element made for enforcing weak stress symmetry
Abstract. We introduce a new mixed method for linear elasticity. The novelty is a simplicial element for the approximate stress. For every positive integer k, the row-wise divergen...
Bernardo Cockburn, Jayadeep Gopalakrishnan, Johnny...
PODC
2012
ACM
13 years 2 months ago
Weak models of distributed computing, with connections to modal logic
This work presents a classification of weak models of distributed computing. We focus on deterministic distributed algorithms, and we study models of computing that are weaker ve...
Lauri Hella, Matti Järvisalo, Antti Kuusisto,...