Article

Studia Logica

, Volume 99, Issue 1, pp 61-92

Dynamic Logics of Evidence-Based Beliefs

  • J. van BenthemAffiliated withInstitute for Logic, Language and Computation, University of AmsterdamDepartment of Philosophy, Stanford University Email author 
  • , E. PacuitAffiliated withTilburg Center for Logic and Philosophy of Science, Tilburg University

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Abstract

This paper adds evidence structure to standard models of belief, in the form of families of sets of worlds. We show how these more fine-grained models support natural actions of “evidence management”, ranging from update with external new information to internal rearrangement. We show how this perspective leads to new richer languages for existing neighborhood semantics for modal logic. Our main results are relative completeness theorems for the resulting dynamic logic of evidence.

Keywords

Dynamic Logics of Belief Revision Neighborhood Models for Modal Logic