Automata on Infinite Words (eBook)

An introduction to finite automata on infinite words.- Deterministic and non ambiguous rational ?-languages.- Ensembles reconnaissables de mots bi-inpinis Limite et déterminisme.- Automates boustrophedon sur des mots infinis.- Star-free ?-languages and first order logic.- A formal proof system for infinitary rational expressions.- Logical formulas and four subclasses of ?-regular languages.- Deterministic asynchronous automata.- Alternating automata on infinite objects, determinacy and Rabin's theorem.- The solution of two star-height problems for regular trees.- Decidability of yield's equality for infinite regular trees.- Languages and subshifts.- The adherences of languages as topological spaces.- Mots infinis en arithmetique.- Kth power-free codes.- On various classes of infinite words obtained by iterated mappings.- Overlap free words on two symbols.- Overlap-free sequences.