-catégories and gamuts
-valuations of graphs
Baire classification and infinite perceptrons
Behaviour of finite automata in infinite environment [Abstract of thesis]
Bicolored digraph grammar systems
Bi-infinitary codes
Binary operations on automatic functions
Real functions on the domain – often used to describe digital images – allow for different well-known types of binary operations. In this note, we recapitulate how weighted finite automata can be used in order to represent those functions and how certain binary operations are reflected in the theory of these automata. Different types of products of automata are employed, including the seldomly-used full cartesian product. We show, however, the infeasibility of functional composition; simple examples...
Binary operations on automatic functions
Real functions on the domain [0,1)n – often used to describe digital images – allow for different well-known types of binary operations. In this note, we recapitulate how weighted finite automata can be used in order to represent those functions and how certain binary operations are reflected in the theory of these automata. Different types of products of automata are employed, including the seldomly-used full Cartesian product. We show, however, the infeasibility of functional composition; simple...
Bipolar fuzzy finite state machines.
Bouquets of circles for lamination languages and complexities
Laminations are classic sets of disjoint and non-self-crossing curves on surfaces. Lamination languages are languages of two-way infinite words which code laminations by using associated labeled embedded graphs, and which are subshifts. Here, we characterize the possible exact affine factor complexities of these languages through bouquets of circles, i.e. graphs made of one vertex, as representative coding graphs. We also show how to build families of laminations together with corresponding lamination...
Brève communication. Reconnaissance de sous-arborescences
Brèves communications. Application de la théorie des ramifications au problème de l’équivalence structurale de deux grammaires