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Undecidability of the surjectivity problem for 2D cellular automata: A simplified proof
Chapitre d'ouvrage   Avec comité de lecture

Undecidability of the surjectivity problem for 2D cellular automata: A simplified proof

Fundamentals of Computation Theory, pp.204-211
Lecture Notes in Computer Science, Springer Berlin Heidelberg
30/05/2005

Résumé

The surjectivity problem for 2D cellular automata was proved undecidable in 1989 by Jarkko Kari. The proof consists in a reduction of a problem concerning finite tilings to this problem. This reduction uses a special and very sophisticated tile set. In this article, we present a much more simple tile set which can play the same role.

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