---
title: "Tractable Meta-Reasoning in Propositional Logics of Belief"
authors:
  - "Gerhard Lakemeyer"
doi: ""
url: "https://ijcai.org/proceedings/1987/81"
pdf: "https://ijcai.org/proceedings/1987/0081.pdf"
venue: "Proceedings of the Tenth International Joint Conference on Artificial Intelligence"
year: 1987
pages: "402-408"
track: "Knowledge Representation"
keywords:
---

# Tractable Meta-Reasoning in Propositional Logics of Belief

Gerhard Lakemeyer

*Proceedings of the Tenth International Joint Conference on Artificial Intelligence*, pages 402-408.

## Abstract

Finding a.dequate semantic models of deductive reasoning is a difficult problem, if deductions are to be performed efficiently and in a semantically appropriate way. The model of reasoning provided by possible-worlds semantics has been found deficient both for computational and intuitive reasons. Existing semantic approaches that were proposed as alternatives to possible-worlds semantics either suffer from computational intractability or do not allow agents to have meta-beliefs. This work, based on relevance logic, proposes a model of belief where an agent can hold meta-beliefs and reason about them and other world knowledge efficiently. It is also shown how the model can be extended to include positive introspection without losing efficiency.