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Second-Order Logic over Finite Structures – Report on a Research Programme

Identifieur interne : 006B33 ( Main/Exploration ); précédent : 006B32; suivant : 006B34

Second-Order Logic over Finite Structures – Report on a Research Programme

Auteurs : Georg Gottlob [Autriche]

Source :

RBID : ISTEX:959C346C4BEC0856416C1648C45906C5377CB885

Abstract

Abstract: This paper reports about the results achieved so far in the context of a research programme at the cutting point of logic, formal language theory, and complexity theory. The aim of this research programme is to classify the complexity of evaluating formulas from different prefix classes of second-order logic over different types of finite structures, such as strings, graphs, or arbitrary structures. In particular, we report on classifications of second-order logic on strings and of existential second-order logic on graphs.

Url:
DOI: 10.1007/978-3-540-25984-8_16


Affiliations:


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