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4 papers · 1 filter
From the Closed Classical Algorithmic Universe to an Open World of Algorithmic Constellations
Mark Burgin, Gordana Dodig-Crnkovic
In this paper we analyze methodological and philosophical implications of algorithmic aspects of unconventional computation. At first, we describe how the classical algorithmic uni…
Projective dimension in filtrated K-theory
Rasmus Bentmann
Under mild assumptions, we characterise modules with projective resolutions of length n in the target category of filtrated K-theory over a finite topological space in terms of two…
Axiomatic Tools versus Constructive approach to Unconventional Algorithms
Gordana Dodig-Crnkovic, Mark Burgin
In this paper, we analyze axiomatic issues of unconventional computations from a methodological and philosophical point of view. We explain how the new models of algorithms changed…
Alan Turing's Legacy: Info-Computational Philosophy of Nature
Gordana Dodig-Crnkovic
Alan Turing's pioneering work on computability, and his ideas on morphological computing support Andrew Hodges' view of Turing as a natural philosopher. Turing's natural philosophy…