Probabilistic justification logic

Author:

Kokkinis Ioannis1,Ognjanović Zoran2,Studer Thomas3

Affiliation:

1. Department of Mathematics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece

2. Mathematical Institute of the Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia

3. Institute of Computer Science, University of Bern, 3012 Bern, Switzerland

Abstract

Abstract We present a probabilistic justification logic, $\mathsf{PPJ}$, as a framework for uncertain reasoning about rational belief, degrees of belief and justifications. We establish soundness and strong completeness for $\mathsf{PPJ}$ with respect to the class of so-called measurable Kripke-like models and show that the satisfiability problem is decidable. We discuss how $\mathsf{PPJ}$ provides insight into the well-known lottery paradox.

Funder

Serbian Ministry of Education, Science and Technological Development and SNSF

Publisher

Oxford University Press (OUP)

Subject

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

Reference31 articles.

1. Operational modal logic;Artemov,1995

2. Explicit provability and constructive semantics;Artemov;The Bulletin of Symbolic Logic,2001

3. The logic of justification;Artemov;The Review of Symbolic Logic,2008

4. The ontology of justifications in the logical setting;Artemov;Studia Logica,2012

5. On aggregating probabilistic evidence;Artemov,2016

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