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Infinite Communication Complexity

Abstract : Suppose that Alice and Bob are given each an infinite string, and they want to decide whether their two strings are in a given relation. How much communication do they need? How can communication be even defined and measured for infinite strings? In this article, we propose a formalism for a notion of infinite communication complexity, prove that it satisfies some natural properties and coincides, for relevant applications, with the classical notion of amortized communication complexity. More-over, an application is given for tackling some conjecture about tilings and multidimensional sofic shifts.
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Preprints, Working Papers, ...
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Submitted on : Friday, January 23, 2015 - 11:58:32 AM
Last modification on : Tuesday, October 19, 2021 - 10:49:27 PM
Long-term archiving on: : Friday, April 24, 2015 - 10:22:14 AM


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  • HAL Id : hal-01108690, version 1


Pierre Guillon, Emmanuel Jeandel. Infinite Communication Complexity. 2014. ⟨hal-01108690⟩



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