Infinite-word languages and continuous mappings
Theoretical Computer Science
Theoretical Computer Science
Two characterizations of rational adherences
Theoretical Computer Science
Handbook of theoretical computer science (vol. B)
Applied Mathematics and Computation
Semirings and formal power series: their relevance to formal languages and automata
Handbook of formal languages, vol. 1
String editing and longest common subsequences
Handbook of formal languages, vol. 2
Handbook of formal languages, vol. 3
Handbook of Formal Languages
The adherences of languages as topological spaces
Automata on Infinite Words, Ecole de Printemps d'Informatique Théorique,
Polynomial Closure of Group Languages and Open Sets of the Hall Topology
ICALP '94 Proceedings of the 21st International Colloquium on Automata, Languages and Programming
Adherence Equivalence Is Decidable for DOL Languages
STACS '84 Proceedings of the Symposium of Theoretical Aspects of Computer Science
A topological characterization of random sequences
Information Processing Letters
Topologies for the set of disjunctive ω-words
Acta Cybernetica
IEEE Transactions on Computers
Hi-index | 5.23 |
We investigate properties of topologies on sets of finite and infinite words over a finite alphabet. The guiding example is the topology generated by the prefix relation on the set of finite words, considered as a partial order. This partial order extends naturally to the set of infinite words; hence it generates a topology on the union of the sets of finite and infinite words. We consider several partial orders which have similar properties and identify general principles according to which the transition from finite to infinite words is natural. We provide a uniform topological framework for the set of finite and infinite words to handle limits in a general fashion.