MC Logics and McCarty Context Logic

The problem of context has a long tradition in different areas of artificial intelligence (AI). However, the issue of formalizing context has become a widely discussed issue only since the late 80s. Since then, two main formalizations have been proposed in AI: Propositional Logic of Context(PLC) and Local Models Semantics/MultiContext Systems(LMS/MCS). We propose the first in depth comparison between these two formalizations, both from a technical and a conceptual point of view. The main technical result described in the above papers are the following:
  • PLC can be embedded into a particular class of MCS, which is an instance of a Hierarchical meta-logics
  • MCS/LMS cannot be embedded in PLC using only lifting axioms to encode bridge rules.
  • under some important restrictions (including the hypothesis that each context has finite and homogeneous propositional languages), MCS/LMS can be embedded in PLC with generic axioms.
We also provide a comparison of the epistemological adequacy of PLC and MCS/LMS for the representation of the most important issues about contexts.

Relevant Publications

P. Bouquet and L. Serafini
Comparing Formal Theories of Context in AI
January 2002. (pdf)

 

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Last Update: Ferbuary 2003