By Samson Abramsky (auth.), Cristian S. Calude, Jarkko Kari, Ion Petre, Grzegorz Rozenberg (eds.)
ISBN-10: 3642213413
ISBN-13: 9783642213410
This ebook constitutes the refereed complaints of the tenth overseas convention on Unconventional Computation, UC 2011, held in Turku, Finland, in June 2011. The 17 revised complete papers provided including 6 prolonged abstracts of invited talks, and three prolonged abstracts of tutorials have been conscientiously reviewed and chosen from 33 preliminary submissions. The papers are dedicated to all points of unconventional computation conception in addition to experiments and purposes. general issues are: average computing together with quantum, mobile, molecular, membrane, neural, and evolutionary computing, in addition to chaos and dynamical system-based computing, and diverse proposals for computational mechanisms that transcend the Turing model.
Read Online or Download Unconventional Computation: 10th International Conference, UC 2011, Turku, Finland, June 6-10, 2011. Proceedings PDF
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This publication constitutes the refereed complaints of the tenth foreign convention on Unconventional Computation, UC 2011, held in Turku, Finland, in June 2011. The 17 revised complete papers provided including 6 prolonged abstracts of invited talks, and three prolonged abstracts of tutorials have been conscientiously reviewed and chosen from 33 preliminary submissions.
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Additional resources for Unconventional Computation: 10th International Conference, UC 2011, Turku, Finland, June 6-10, 2011. Proceedings
Example text
While functions fˆA(1/4) (x) and fˆA(3/4) (x) are already quite complicated looking fractaltype functions, fˆA(2/3) (x), illustrated in Figure 14, seems to be even more chaotic, likewise all functions fˆA(t) with t = 14 , 34 . Formally, this is shown in the following results. Theorem 5. Functions fˆA(1/4) and fˆA(3/4) are continuous, but they possess a derivative equal to zero at dyadic rational points. Theorem 6. The function fˆA(t) , for t ∈ (0, 1), t = 14 , 34 , is continuous, but does not have a derivative at any point.
As we hinted in the above example, a necessary condition for the continuity of a function fˆA at point x = 12 is the equality fA (10ω ) = fA (01ω ) . The next theorem formulates the continuity of fˆA at dyadic rationals in terms of simple conditions on the ω-word function fA . Later we see that these conditions can be effectively checked. Theorem 2. For any level automaton A the following conditions are equivalent: (i) fˆA is continuous on the interval [0, 1); (ii) fA (u01ω ) = fA (u10ω ) for all words u ∈ A∗ .
D Computing inside the cellular space. The first part of the tutorial considers cellular automata as a universal model of computation. Several notions of universality are discussed: boolean circuit simulation, Turing universality, intrinsic universality. Special abilities of cellular automata as a model of massive parallelism are then investigated. Computing properties of cellular automata. The second part of the tutorial considers properties of cellular automata and their computation. De Bruijn diagrams and associated regular languages are introduced as tools to decide injectivity and surjectivity of the global transition function in the one-dimensional case.
Unconventional Computation: 10th International Conference, UC 2011, Turku, Finland, June 6-10, 2011. Proceedings by Samson Abramsky (auth.), Cristian S. Calude, Jarkko Kari, Ion Petre, Grzegorz Rozenberg (eds.)
by George
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