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2018 | OriginalPaper | Chapter

Self-verifying Cellular Automata

Authors : Martin Kutrib, Thomas Worsch

Published in: Cellular Automata

Publisher: Springer International Publishing

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Abstract

We study the computational capacity of self-verifying cellular automata with an emphasis on one-way information flow (\(\text {SVOCA}\)). A self-verifying device is a nondeterministic device where each computation path can give one of the answers yes, no, or do not know. For every input word, at least one computation path must give either the answer yes or no, and the answers given must not be contradictory. Realtime \(\text {SVOCA}\) are strictly more powerful than realtime deterministic one-way cellular automata. They can be sped-up from lineartime to realtime and are capable to simulate any lineartime computation of deterministic two-way CA. Closure and decidability properties are considered as well.

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Metadata
Title
Self-verifying Cellular Automata
Authors
Martin Kutrib
Thomas Worsch
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-99813-8_31

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