A survey on analog models of computation

O Bournez, A Pouly - Handbook of Computability and Complexity in …, 2021 - Springer
A Survey on Analog Models of Computation Page 1 Chapter 6 A Survey on Analog Models of
Computation Olivier Bournez and Amaury Pouly Abstract We present a survey on analog …

The physical Church-Turing thesis and the principles of quantum theory

P Arrighi, G Dowek - … Journal of Foundations of Computer Science, 2012 - World Scientific
As was emphasized by Deutsch, quantum computation shatters complexity theory, but is
innocuous to computability theory. Yet Nielsen and others have shown how quantum theory …

Computational complexity with experiments as oracles

E Beggs, JF Costa, B Loff… - Proceedings of the …, 2008 - royalsocietypublishing.org
We discuss combining physical experiments with machine computations and introduce a
form of analogue–digital (AD) Turing machine. We examine in detail a case study where an …

Limits to measurement in experiments governed by algorithms

EJ Beggs, JF Costa, JV Tucker - Mathematical Structures in …, 2010 - cambridge.org
We pose the following question: If a physical experiment were to be completely controlled by
an algorithm, what effect would the algorithm have on the physical measurements made …

The impact of models of a physical oracle on computational power

EJ Beggs, JF Costa, JV Tucker - Mathematical Structures in …, 2012 - cambridge.org
Using physical experiments as oracles for algorithms, we can characterise the
computational power of classes of physical systems. Here we show that two different …

Fundamental physics and computation: The computer-theoretic framework

S Miguel-Tomé, ÁL Sánchez-Lázaro, L Alonso-Romero - Universe, 2022 - mdpi.com
The central goal of this manuscript is to survey the relationships between fundamental
physics and computer science. We begin by providing a short historical review of how …

Three forms of physical measurement and their computability

E Beggs, JF Costa, JV Tucker - The Review of Symbolic Logic, 2014 - cambridge.org
We have begun a theory of measurement in which an experimenter and his or her
experimental procedure are modeled by algorithms that interact with physical equipment …

Computational complexity with experiments as oracles. II. Upper bounds

E Beggs, JF Costa, B Loff… - Proceedings of the …, 2009 - royalsocietypublishing.org
Earlier, to explore the idea of combining physical experiments with algorithms, we
introduced a new form of analogue–digital (AD) Turing machine. We examined in detail a …

Axiomatizing physical experiments as oracles to algorithms

EJ Beggs, JF Costa, JV Tucker - … Transactions of the …, 2012 - royalsocietypublishing.org
We developed earlier a theory of combining algorithms with physical systems, on the basis
of using physical experiments as oracles to algorithms. Although our concepts and methods …

Physical oracles: The Turing machine and the Wheatstone bridge

EJ Beggs, JF Costa, JV Tucker - Studia Logica, 2010 - Springer
Earlier, we have studied computations possible by physical systems and by algorithms
combined with physical systems. In particular, we have analysed the idea of using an …