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BIRTHDAY
2010
Springer
13 years 8 months ago
A Logic for PTIME and a Parameterized Halting Problem
In [7] Nash, Remmel, and Vianu have raised the question whether a logic L, already introduced by Gurevich in 1988, captures polynomial time, and they give a reformulation of this ...
Yijia Chen, Jörg Flum
ICALP
2004
Springer
14 years 4 months ago
An Analog Characterization of Elementarily Computable Functions over the Real Numbers
Abstract We present an analog and machine-independent algebraic characterization of elementarily computable functions over the real numbers in the sense of recursive analysis: we p...
Olivier Bournez, Emmanuel Hainry
COCO
1992
Springer
82views Algorithms» more  COCO 1992»
14 years 2 months ago
Functional Characterizations of Uniform Log-depth and Polylog-depth Circuit Families
We characterize the classes of functions computable by uniform log-depth (NC1) and polylog-depth circuit families as closures of a set of base functions. (The former is equivalent...
Stephen A. Bloch
CORR
2004
Springer
137views Education» more  CORR 2004»
13 years 10 months ago
Implementation of Logical Functions in the Game of Life
: The Game of Life cellular automaton is a classical example of a massively parallel collision-based computing device. The automaton exhibits mobile patterns, gliders, and generato...
Jean-Philippe Rennard
ENTCS
2007
153views more  ENTCS 2007»
13 years 10 months ago
The Methods of Approximation and Lifting in Real Computation
The basic motivation behind this work is to tie together various computational complexity classes, whether over different domains such as the naturals or the reals, or whether de...
Manuel Lameiras Campagnolo, Kerry Ojakian