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General purpose analog computer

The General Purpose Analog Computer (GPAC) is a mathematical model of analog computers first introduced in 1941 by Claude Shannon. This model… 
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Analog computerAnalogue electronicsChurch–Turing thesisComputability
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Papers overview

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2017
2017
On the Functions Generated by the General Purpose Analog Computer
We consider the General Purpose Analog Computer (GPAC), introduced by Claude Shannon in 1941 as a mathematical model of… 
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2016
2016
Polynomial Time Corresponds to Solutions of Polynomial Ordinary Differential Equations of Polynomial Length: The General Purpose Analog Computer and Computable Analysis Are Two Efficiently Equivalent…
We provide an implicit characterization of polynomial time computation in terms of ordinary differential equations: we… 
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2013
2013
Turing Machines Can Be Efficiently Simulated by the General Purpose Analog Computer
The Church-Turing thesis states that any sufficiently powerful computational model which captures the notion of algorithm is… 
2006
2006
The General Purpose Analog Computer and Computable Analysis are Two Equivalent Paradigms of Analog Computation
In this paper we revisit one of the first models of analog computation, Shannon’s General Purpose Analog Computer (GPAC). The… 
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Highly Cited
2004
Highly Cited
2004
Some recent developments on Shannon's General Purpose Analog Computer
  • D. Graça
  • Math. Log. Q.
  • 2004
  • Corpus ID: 17410830
This paper revisits one of the first models of analog computation, the General Purpose Analog Computer (GPAC). In particular, we… 
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Highly Cited
2003
Highly Cited
2003
Analog computers and recursive functions over the reals
In this paper we show that Shannon's general purpose analog computer (GPAC) is equivalent to a particular class of recursive… 
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2002
2002
The general purpose analog computer and recursive functionsover the reals
The purpose of the present dissertation is to analyze various mathematical models of analog computation. This work starts by… 
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Highly Cited
2000
Highly Cited
2000
Iteration, Inequalities, and Differentiability in Analog Computers
Shannon's general purpose analog computer (GPAC) is an elegant model of analog computation in continuous time. In this paper, we… 
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1985
1985
Helmut Hoelzer's Fully Electronic Analog Computer
  • J. Tomayko
  • Annals of the History of Computing
  • 1985
  • Corpus ID: 15986944
A fully electronic general-purpose analog computer was designed by Helmut Hoelzer, a German electrical engineer and remote… 
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Highly Cited
1974
Highly Cited
1974
Abstract computability and its relation to the general purpose analog computer (some connections between logic, differential equations and analog computers)
COMPUTABILITY AND ITS RELATION TO THE GENERAL PURPOSE ANALOG COMPUTER (SOME CONNECTIONS BETWEEN LOGIC, DIFFERENTIAL EQUATIONS AND… 
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