By Srečko Brlek, Christophe Reutenauer

This booklet constitutes the court cases of the 20 th foreign convention on advancements in Language idea, DLT 2016, held in Montreal, quality control, Canada, in July 2016.

The 32 complete papers and four abstracts of invited papers awarded have been rigorously reviewed and chosen from forty eight submissions. This quantity provides present advancements in formal languages and automata, specially from the subsequent subject matters and parts: combinatorial and algebraic homes of phrases and languages; grammars, acceptors and transducers for strings, timber, graphs, arrays; algebraic theories for automata and languages; codes; effective textual content algorithms; symbolic dynamics; selection difficulties; relationships to complexity conception and common sense; photograph description and research; polyominoes and bidimentional styles; cryptography; concurrency; mobile automata; bio-inspried computing; quantum computing.

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Extra info for Developments in Language Theory: 20th International Conference, DLT 2016, Montréal, Canada, July 25-28, 2016, Proceedings

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In this paper we consider only uniform measures μ. We denote by Eμ∗n [ S ] the average value of the functional S on the ball Bn with respect to the measure μ∗n . For some Cayley graphs of wreath products of groups we f (n), where will show asymptotic behavior of Eμ∗n [ S ] of the form Eμ∗n [ S ] g(n) f (n) means that δ1 f (n) g(n) δ2 f (n) for some constants δ2 δ1 > 0. Let T ∈ T be a Turing transducer translating a language L into L . Suppose that the Cayley graph Γ (G, S) is presented by T . Let us choose any word w0 ∈ L.

2 sums up the situation. For all ϕ∼ −1 −1 ψ (s). We also have ψ −1 (ΔD A ) = ΔμD and s ∈ SP + (A)/∼A , ϕ−1 ∼A (s) = μ μ −1 id 2 + μ (ΔD ) = ΔD for all D ∈ P(Q × P (Q)). 2] ΔμD is a -rational set of Nk∗ , and thus semi-linear: it has the form ΔμD = 22 N. Bedon Fig. 2. The morphisms between the - -semigroups. Full arrows represent morphisms of - -semigroups, and dashed arrows morphisms of commutative semigroups ∪i∈ID (aD,i + BD,i ) for some finite set ID , aD,i ∈ Nk∗ , BD,i some finite part of Nk∗ .

It is semi-linear if it is a finite union of linear sets. The class of -rational languages of A is the smallest containing the empty set, {ε}, {a} for all a ∈ A, and closed under finite union, parallel product , and finite parallel iteration . The notions of rational, -rational, linear and semi-linear languages, which are defined over free algebras, also naturally apply to non-free algebras. It is known (see [10]) that the -rational sets of a commutative monoid M are precisely the semi-linear sets of M .

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