Download Algebraic Informatics: Second International Conference, CAI by Jürgen Albert, German Tischler (auth.), Symeon Bozapalidis, PDF

By Jürgen Albert, German Tischler (auth.), Symeon Bozapalidis, George Rahonis (eds.)

This ebook constitutes the refereed court cases of the second one overseas convention on Algebraic Informatics, CAI 2007, held in Thessaloniki, Greece, in might 2007.

The 10 revised complete papers awarded including 9 invited papers have been rigorously reviewed and chosen from 29 submissions. The papers hide issues comparable to algebraic semantics on graphs and timber, formal energy sequence, syntactic gadgets, algebraic photo processing, countless computation, acceptors and transducers for strings, timber, graphs, arrays, etc., and choice problems.

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Extra resources for Algebraic Informatics: Second International Conference, CAI 2007, Thessaloniki, Greece, May 21-25, 2007, Revised Selected and Invited Papers

Example text

For instance, abba is balanced but is not strongly balanced because the square abbaabba contains both factors aa and bb. The word ababab is cyclically balanced. A finite Sturmian word is a word which is a factor of some (infinite) Sturmian word. Proposition 28. A finite binary word is balanced if and only if it is a finite Sturmian word. Proposition 29. [43,42,44] A finite binary word is strongly balanced if and only if it is a conjugate of some standard Sturmian word. For infinite words, we recall the following characterization of Sturmian words.

The language generated by G is given by L(G) = {val (t) | t ∈ L(γ)}. 4 51 TREEBAG One of the advantages of the notion of tree-based generators is that it gives rise to a flexible implementation in a rather straightforward manner. The system Treebag [Dre06, Chapter 8] is such a system. It allows its user to interactively load instances of a variety of tree generators (and tree transducers), algebras, and so-called displays, and to establish input-output relations between them.

By definition, the sets TAΣ are the smallest sets of strings simultaneously satisfying the following conditions: – For every a : A in Σ, the string a is in TAΣ . – For all f : A1 × · · · × Ak → A in Σ (k > 0) and all t1 ∈ TAΣ1 , . . , tk ∈ TAΣk , the string f[t1 , . . , tk ] is in TAΣ . 2 A∈S TAΣ . Algebras and Evaluation Given an S-sorted signature Σ, a Σ-algebra (or just algebra) is a pair A = (dom, σ). Here, dom is a domain mapping for S – a function assigning to every sort A ∈ S a set dom(A) called its domain, and σ is the interpretation of symbols – a function that assigns to every function symbol f : A1 × · · · × Ak → A in Σ a corresponding function σ(f) : dom(A1 ) × · · · × dom(Ak ) → dom(A).

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