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2017

2017

We consider the General Purpose Analog Computer (GPAC), introduced by Claude Shannon in 1941 as a mathematical model of…

2016

2016

We provide an implicit characterization of polynomial time computation in terms of ordinary differential equations: we…

2013

2013

The Church-Turing thesis states that any sufficiently powerful computational model which captures the notion of algorithm is…

2006

2006

In this paper we revisit one of the first models of analog computation, Shannon’s General Purpose Analog Computer (GPAC). The…

Highly Cited

2004

Highly Cited

2004

This paper revisits one of the first models of analog computation, the General Purpose Analog Computer (GPAC). In particular, we…

Highly Cited

2003

Highly Cited

2003

In this paper we show that Shannon's general purpose analog computer (GPAC) is equivalent to a particular class of recursive…

2002

2002

The purpose of the present dissertation is to analyze various mathematical models of analog computation. This work starts by…

Highly Cited

2000

Highly Cited

2000

Shannon's general purpose analog computer (GPAC) is an elegant model of analog computation in continuous time. In this paper, we…

1985

1985

A fully electronic general-purpose analog computer was designed by Helmut Hoelzer, a German electrical engineer and remote…

Highly Cited

1974

Highly Cited

1974

COMPUTABILITY AND ITS RELATION TO THE GENERAL PURPOSE ANALOG COMPUTER (SOME CONNECTIONS BETWEEN LOGIC, DIFFERENTIAL EQUATIONS AND…