We present a complete, decidable logic for reasoning about a notion of completely trustworthy ("conclusive") evidence and its relations to justifiable (implicit) belief and knowledge, as well as to their explicit justifications. This logic makes use of a number of evidence-related notions such as availability, admissibility, and "goodness" of a piece of evidence, and is based on an innovative modification of the Fitting semantics for Artemov's Justification Logic designed to preempt Gettier-type counterexamples. We combine this with ideas from belief revision and awareness logics to provide an account for explicitly justified (defeasible) knowledge based on conclusive evidence that addresses the problem of (logical) omniscience.
This framework has been further connected to the notion of explicit and implicit beliefs and belief revision in REF .
The Logic of Justified Belief, Explicit Knowledge, and Conclusive Evidence
Ann. Pure Appl. Log.
Ann. Pure Appl. Log.
Computer Science Mathematics