Temporal logic for social networks

Author:

Machado Vitor1,Benevides Mario2

Affiliation:

1. System Engineering and Computer Science Program , Federal University of Rio de Janeiro, Rio de Janeiro RJ 21941-972, Brazil

2. Computing Institute , Fluminense Federal University, Rio de Janeiro RJ 21941-972, Brazil

Abstract

Abstract This paper introduces a logic with a class of social network models that is based on standard Linear Temporal Logic, which allows for leveraging the power of existing model checkers for the analysis of social networks. We provide a short literature overview, and then define our logic and its axiomatization, present some simple motivational examples of both models and formulas and show its soundness and completeness via a translation into propositional formulas. Lastly, we discuss model checking, time complexity analysis and a Susceptible–Infectious–Recovered model variation for infectious diseases.

Publisher

Oxford University Press (OUP)

Subject

Logic,Hardware and Architecture,Arts and Humanities (miscellaneous),Software,Theoretical Computer Science

Reference25 articles.

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4. On the formal verification of diffusion phenomena in open dynamic agent networks;Belardinelli,2015

5. Axioms for tense logic. I. “Since” and “until”;Burgess;Notre Dame Journal of Formal Logic,1982

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1. Temporal logics for compartmental models;Journal of Logic and Computation;2024-05-08

2. Detecting bots with temporal logic;Synthese;2023-08-28

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