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COLT
1992
Springer
13 years 11 months ago
On the Computational Power of Neural Nets
This paper deals with finite size networks which consist of interconnections of synchronously evolving processors. Each processor updates its state by applying a "sigmoidal&q...
Hava T. Siegelmann, Eduardo D. Sontag
CIE
2007
Springer
14 years 1 months ago
From Logic to Physics: How the Meaning of Computation Changed over Time
The intuition guiding the de…nition of computation has shifted over time, a process that is re‡ected in the changing formulations of the Church-Turing thesis. The theory of co...
Itamar Pitowsky
INFORMATICALT
2010
134views more  INFORMATICALT 2010»
13 years 4 months ago
Observability of Turing Machines: A Refinement of the Theory of Computation
The Turing machine is one of the simple abstract computational devices that can be used to investigate the limits of computability. In this paper, they are considered from several ...
Yaroslav D. Sergeyev, Alfredo Garro
CIE
2005
Springer
14 years 27 days ago
Robust Simulations of Turing Machines with Analytic Maps and Flows
In this paper, we show that closed-form analytic maps and flows can simulate Turing machines in an error-robust manner. The maps and ODEs defining the flows are explicitly obtai...
Daniel S. Graça, Manuel Lameiras Campagnolo...
TCS
2012
12 years 2 months ago
Improved simulation of nondeterministic Turing machines
Abstract. The standard simulation of a nondeterministic Turing machine (NTM) by a deterministic one essentially searches a large boundeddegree graph whose size is exponential in th...
Subrahmanyam Kalyanasundaram, Richard J. Lipton, K...