The succinctness of first-order logic on linear orders

Succinctness is a natural measure for comparing the strength of different logics. Intuitively, a logic L_1 is more succinct than another logic L_2 if all properties that can be expressed in L_2 can be expressed in L_1 by formulas of (approximately) the same size, but some properties can be expressed...

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Bibliographic Details
Main Authors: Martin Grohe, Nicole Schweikardt
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2005-06-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/2276/pdf