Reasons to believe in a social environment

Fenrong Liu (1) , Emiliano Lorini (2, 3)

1 THU - Tsinghua University [Beijing]
2 IRIT-LILaC - Logique, Interaction, Langue et Calcul
3 CNRS - Centre National de la Recherche Scientifique

We present a logic which supports reasoning about an agent’s belief formation and belief change due to evidence provided by other agents in the society. We call this logic DEL-ES which stands for “Dynamic Epistemic Logic of Evidence Sources”. The term "evidence source" refers to an agent in the society who provides evidence to believe something to another agent. According to DEL-ES, if an agent has gathered a sufficient amount of evidence in support a given fact φ then, as a consequence, she should start to believe that φ is true. A sound and complete axiomatization for DEL-ES is given. We discuss some of its interesting properties and illustrate it in a concrete example from legal contexts.

Mots clés: Modal logic; Epistemic logic; Evidences; Reasons

Domaines: Intelligence artificielle [cs.AI]; Apprentissage [cs.LG]; Logique en informatique [cs.LO]; Informatique et langage [cs.CL]

Fenrong Liu, Emiliano Lorini. Reasons to believe in a social environment. 13th International Conference on Deontic Logic in Computer Science (DEON 2016), Jul 2016, Bayreuth, Germany. pp.155-170. ⟨hal-01809286⟩