# PP-2006-29: A Note on Some Explicit Modal Logics

PP-2006-29: Pacuit, Eric (2006) A Note on Some Explicit Modal Logics. [Report]

## Abstract

Artemov introduced the Logic of Proofs ($\LP$) as a logic of explicit
proofs. We can also offer an epistemic reading of this formula: "$t$
is a possible justification of $\phi$". Motivated, in part, by this
epistemic reading, Fitting introduced a Kripke style semantics for
$\LP$ in [Fitting]. In this note, we prove soundness and completeness
of some axiom systems which are not covered in [Fitting].

Item Type: Report PP-2006-29 Prepublication (PP) Series 2006 Explicit Modal Logic; Logic of Proofs epacuit 12 Oct 2016 14:36 12 Oct 2016 14:36 https://eprints.illc.uva.nl/id/eprint/204