David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Minds and Machines 22 (3):149-165 (2012)
The paper presents an exploration of conceptual issues that have arisen in the course of investigating speed-up and slowdown phenomena in small Turing machines, in particular results of a test that may spur experimental approaches to the notion of computational irreducibility. The test involves a systematic attempt to outrun the computation of a large number of small Turing machines (3 and 4 state, 2 symbol) by means of integer sequence prediction using a specialized function for that purpose. The experiment prompts an investigation into rates of convergence of decision procedures and the decidability of sets in addition to a discussion of the (un)predictability of deterministic computing systems in practice. We think this investigation constitutes a novel approach to the discussion of an epistemological question in the context of a computer simulation, and thus represents an interesting exploration at the boundary between philosophical concerns and computational experiments.
|Keywords||Turing machines Computational irreducibility Computing simulation Undecidability and unsolvability Predictability|
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References found in this work BETA
John Helm & Paul Young (1971). On Size Vs. Efficiency for Programs Admitting Speed-Ups. Journal of Symbolic Logic 36 (1):21-27.
Albert R. Meyer & Patrick C. Fischer (1972). Computational Speed-Up by Effective Operators. Journal of Symbolic Logic 37 (1):55-68.
Stephen Wolfram (2002). A New Kind of Science. Wolfram Media.
Citations of this work BETA
Hector Zenil (2013). What Is Nature-Like Computation? A Behavioural Approach and a Notion of Programmability. Philosophy and Technology (3):1-23.
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