Abstract
New results on the recognizability of sets of finite graphs, hypergraphs and relational structures are presented. The general framework of this research which associates tightly algebraic notions (equational and recognizable sets) and Monadic Second-Order logic (for defining sets and transformations of graphs, hypergraphs and relational structures) is reviewed. The lecture [3] is based on two submitted but nevertheless available articles [1,4] ; the present text is an informal overview. The numerous definitions and results can be found in the two articles.
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References
Blumensath, A., Courcelle, B.: Recognizability and hypergraph operations using local informations (July 2004), http://www.labri.fr/Perso/courcell/Textes/BCBlumensath-submitted2004.pdf
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Courcelle, B. (2004). Recognizable Sets of Graphs, Hypergraphs and Relational Structures: A Survey. In: Calude, C.S., Calude, E., Dinneen, M.J. (eds) Developments in Language Theory. DLT 2004. Lecture Notes in Computer Science, vol 3340. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30550-7_1
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DOI: https://doi.org/10.1007/978-3-540-30550-7_1
Publisher Name: Springer, Berlin, Heidelberg
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