Guarded Second-Order Logic, Spanning Trees, and Network Flows

According to a theorem of Courcelle monadic second-order logic and guarded second-order logic (where one can also quantify over sets of edges) have the same expressive power over the class of all countable $k$-sparse hypergraphs. In the first part of the present paper we extend this result to hyperg...

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Bibliographic Details
Main Author: Achim Blumensath
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2010-02-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/1207/pdf