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» Degrees of Weakly Computable Reals
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JSYML
2002
92views more  JSYML 2002»
13 years 8 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
13 years 8 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
13 years 3 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
13 years 3 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
11 years 11 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,...