Inputs, Outputs, and Composition in the Logic of Information Flows
Logic in Computer Science
2022-09-15 v1
Abstract
The logic of information flows (LIF) is a general framework in which tasks of a procedural nature can be modeled in a declarative, logic-based fashion. The first contribution of this paper is to propose semantic and syntactic definitions of inputs and outputs of LIF expressions. We study how the two relate and show that our syntactic definition is optimal in a sense that is made precise. The second contribution is a systematic study of the expressive power of sequential composition in LIF. Our results on composition tie in the results on inputs and outputs, and relate LIF to first-order logic (FO) and bounded-variable LIF to bounded-variable FO.
Cite
@article{arxiv.2209.06448,
title = {Inputs, Outputs, and Composition in the Logic of Information Flows},
author = {Heba Aamer and Bart Bogaerts and Dimitri Surinx and Eugenia Ternovska and Jan Van den Bussche},
journal= {arXiv preprint arXiv:2209.06448},
year = {2022}
}
Comments
This paper is the extended version of a paper presented at KR 2020