Berger's theorem on cellular automata

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:author gptkb:Robert_Berger
gptkbp:field gptkb:mathematics
theoretical computer science
https://www.w3.org/2000/01/rdf-schema#label Berger's theorem on cellular automata
gptkbp:impact Showed the existence of aperiodic tile sets
gptkbp:influenced study of computational universality in cellular automata
gptkbp:publishedIn gptkb:Memoirs_of_the_American_Mathematical_Society
gptkbp:relatedConcept gptkb:Wang_tiles
undecidability
cellular automaton
tiling problem
gptkbp:sentence There is no algorithm to decide whether a given set of Wang tiles can tile the plane
The domino problem is undecidable
gptkbp:yearProved 1966
gptkbp:bfsParent gptkb:Aaron_Berger
gptkbp:bfsLayer 6