We present a new framework for dealing with C∞-words, based on their left and right frontiers. This allows us to give a compact representation of them, and to describe the set of C∞-words through an infinite directed acyclic graph G. This graph is defined by a map acting on the frontiers of C∞-words. We show that this map can be defined recursively and with no explicit reference to C∞-words. We then show that some important conjectures on C∞-words follow from analogous statements on the structure of the graph G.
|Number of pages||12|
|Journal||Theoretical Computer Science|
|Publication status||Published - 2015|
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Computer Science(all)