Skip to Main content Skip to Navigation
New interface
Conference papers

A Categorical Outlook on Cellular Automata

Abstract : In programming language semantics, it has proved to be fruitful to analyze context-dependent notions of computation, e.g., dataflow computation and attribute grammars, using comonads. We explore the viability and value of similar modeling of cellular automata. We identify local behaviors of cellular automata with coKleisli maps of the exponent comonad on the category of uniform spaces and uniformly continuous functions and exploit this equivalence to conclude some standard results about cellular automata as instances of basic category-theoretic generalities. In particular, we recover Ceccherini-Silberstein and Coornaert's version of the Curtis-Hedlund theorem.
Document type :
Conference papers
Complete list of metadata

Cited literature [18 references]  Display  Hide  Download
Contributor : Pierre Guillon Connect in order to contact the contributor
Submitted on : Wednesday, December 1, 2010 - 4:30:16 PM
Last modification on : Monday, December 6, 2010 - 12:51:06 PM
Long-term archiving on: : Wednesday, March 2, 2011 - 3:17:12 AM


Files produced by the author(s)


  • HAL Id : hal-00542015, version 1
  • ARXIV : 1012.1220



Silvio Capobianco, Tarmo Uustalu. A Categorical Outlook on Cellular Automata. Journées Automates Cellulaires 2010, Dec 2010, Turku, Finland. pp.88-99. ⟨hal-00542015⟩



Record views


Files downloads