Simple Type Theory as Framework for Combining Logics
Logic in Computer Science
2015-03-17 v1 Artificial Intelligence
Abstract
Simple type theory is suited as framework for combining classical and non-classical logics. This claim is based on the observation that various prominent logics, including (quantified) multimodal logics and intuitionistic logics, can be elegantly embedded in simple type theory. Furthermore, simple type theory is sufficiently expressive to model combinations of embedded logics and it has a well understood semantics. Off-the-shelf reasoning systems for simple type theory exist that can be uniformly employed for reasoning within and about combinations of logics.
Cite
@article{arxiv.1004.5500,
title = {Simple Type Theory as Framework for Combining Logics},
author = {Christoph Benzmueller},
journal= {arXiv preprint arXiv:1004.5500},
year = {2015}
}
Comments
Contest paper at the World Congress and School on Universal Logic III (UNILOG'2010), Lisbon, Portugal, April 18-25, 2010.