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Preservation and decomposition theorems for bounded degree structures

We provide elementary algorithms for two preservation theorems for first-order sentences (FO) on the class \^ad of all finite structures of degree at most d: For each FO-sentence that is preserved under extensions (homomorphisms) on \^ad, a \^ad-equivalent existential (existential-positive) FO-sente...

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Autori principali: Frederik Harwath, Lucas Heimberg, Nicole Schweikardt
Natura: Artigo
Lingua:Inglês
Pubblicazione: Logical Methods in Computer Science e.V. 2015-12-01
Serie:Logical Methods in Computer Science
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Accesso online:https://lmcs.episciences.org/1618/pdf
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