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2014•IrInSubria (University of Insubria)Requires access

Inclusion Logic and Fixed Point Logic

Pietro Galliani, Lauri Hella

Open publisher page 34 citations

Abstract

We investigate the properties of Inclusion Logic, that is, First Order Logic with Team Semantics \nextended with inclusion dependencies. We prove that Inclusion Logic is equivalent to Greatest \nFixed Point Logic, and we prove that all union-closed first-order definable properties of relations \nare definable in it. We also provide an Ehrenfeucht-Fraïssé game for Inclusion Logic, and give an \nexample illustrating its use.

About this research paper

What this paper is about

We investigate the properties of Inclusion Logic, that is, First Order Logic with Team Semantics \nextended with inclusion dependencies. We prove that Inclusion Logic is equivalent to Greatest \nFixed Point Logic, and we prove that all union-closed first-order definable properties of relations \nare definable in it. We also provide an Ehrenfeucht-Fraïssé game for Inclusion Logic, and give an \nexample illustrating its use.

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OpenAlex reports 34 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We investigate the properties of Inclusion Logic, that is, First Order Logic with Team Semantics \nextended with inclusion dependencies. We prove that Inclusion Logic is equivalent to Greatest \nFixed Point Logic, and we prove that all union-closed first-order definable properties of relations \nare definable in it. We also provide an Ehrenfeucht-Fraïssé game for Inclusion Logic, and give an \nexample illustrating its use.

Key concepts: Higher-order logic, Inclusion (mineral), Second-order logic, Mathematics, First-order logic, Computer science, Discrete mathematics, Multimodal logic

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