@INPROCEEDINGS{kr96, AUTHOR = {David Basin and Sean Matthews and Luca Vigano}, TITLE = {Implementing Modal and Relevance Logics in a Logical Framework}, BOOKTITLE = {Principles of Knowledge Representation and Reasoning, Proceedings of the Fifth International Conference (KR'96), Cambridge, Massachusetts, November 5--8, 1996}, EDITORS = {Luigia Carlucci Aiello, and Jon Doyle, and Stuart Shapiro}, YEAR = {1996}, PAGES = {386--397}, PUBLISHER = {Morgan Kaufmann Publishers, Inc.}, ADDRESS = {San Francisco, California}, ABSTRACT = { We present a framework for machine implementation of both partial and complete fragments of large families of non-classical logics such as modal, relevance, and intuitionistic logics. We decompose a logic into two interacting parts, each a natural deduction system: a base logic of labelled formulae, and a theory of labels characterizing the properties of the Kripke models. Our approach is modular and supports uniform proofs of correctness and proof normalization. We have implemented our work in the Isabelle Logical Framework. }, }