Playing Games in the Baire Space

We solve a generalized version of Church's Synthesis Problem where a play is given by a sequence of natural numbers rather than a sequence of bits; so a play is an element of the Baire space rather than of the Cantor space. Two players Input and Output choose natural numbers in alternation to g...

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Bibliographic Details
Main Authors: Benedikt Brütsch, Wolfgang Thomas
Format: Article
Language:English
Published: Open Publishing Association 2016-07-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1608.00653v1