By Frank Drewes (auth.), Werner Kuich, George Rahonis (eds.)

ISBN-10: 3642248969

ISBN-13: 9783642248962

This Festschrift quantity is released in honor of Symeon Bozapalidis at the party of his retirement after greater than 35 years of training. the themes lined are: weighted automata over phrases and bushes, tree transducers, quantum automata, graphs, photographs and sorts of semigroups.

Since 1982 -- on the Aristotle college of Thessaloniki -- Symeon's major pursuits were heavily hooked up with the algebraic foundations in computing device technology. particularly, he contributed to the improvement of the speculation of tree languages and sequence, the axiomatization of graphs, photo conception, and fuzzy languages.

The quantity, which specializes in the study pursuits of Symeon, includes 15 completely refereed invited papers, written by way of his colleagues, associates, and scholars. lots of the papers have been awarded on the Workshop on Algebraic Foundations in laptop technology, held in Thessaloniki, Greece, in the course of November 7--8, 2011.

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**Extra info for Algebraic Foundations in Computer Science: Essays Dedicated to Symeon Bozapalidis on the Occasion of His Retirement**

**Sample text**

For bi-locally ﬁnite bimonoids, we show that weighted tree automata capture the expressive power of several semantics of full weighted MSO logic. Decision procedures follow as consequences. 1 Introduction Trees or terms are one of the most fundamental concepts both in mathematics and in computer science. J. R. Büchi [19] wrote: “It is very easy to tell what these terms are and why they merit an investigation. They are those famous (some will say infamous) formulas that distinguish mathematical texts from others.

Since addition of K is set union, the weight of every valid and successful run of M on t is 1x+1 2x . Let r be such a run. The run r assigns states to all 2x + 1 positions of t. The set Q contains m states, thus at least two of the m+ 1 ﬁrst positions of t (counted from the leaf) are mapped by r to the same state. Hence, r runs through at least one cycle C within its ﬁrst m+1 positions. Now recall that M uses DF as enumeration and x = (m + 1) · max . , WC ⊆ {1}∗ . If WC = {ε}, we consider the run r constructed from r by cutting cycle C.

Note that both these galleries are ﬁnite, because Pixels Γ is ﬁnite. 2]) states that GΓu (G) and GΓl (G) are computable: Theorem 23. There is an algorithm that, given as input a uniform grid collage grammar G and a raster Γ , computes GΓu (G) and GΓl (G). It seems likely that the theorem can be extended to general grid collage grammars (thus dropping the restriction to evenly spaced grids) and to at least certain types of partial-array collage grammars, but this question has not been studied yet.

### Algebraic Foundations in Computer Science: Essays Dedicated to Symeon Bozapalidis on the Occasion of His Retirement by Frank Drewes (auth.), Werner Kuich, George Rahonis (eds.)

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