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LOGCOM
2016

Realization using the model existence theorem

3 years 11 days ago
Realization using the model existence theorem
Justification logics refine modal logics by replacing the usual necessity operator with a family of justification terms that embody reasons for the necessity of a formula, rather than simply recording the fact of necessity. Many common modal logics have justification counterparts. The connection between a modal logic and its justification counterpart is through a Realization Theorem, which says that modal operators can be replaced in a precise way with justification terms so that modal theorems turn into justification logic theorems. In this paper we present a new proof of Realization. We use the familiar machinery of consistency properties to prove a weak version, we call it Quasi-Realization. Then we show how to convert Quasi-Realizations into Realizations proper. Unlike most other treatments in the literature, the work here is not propositional, but firstorder. Only one modal/justification logic is discussed, but the methods easily extend to other standard systems.
Melvin Fitting
Added 07 Apr 2016
Updated 07 Apr 2016
Type Journal
Year 2016
Where LOGCOM
Authors Melvin Fitting
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