Domain closure conditions and definability preservation
Karl Schlechta (LIF)
TL;DR
This paper investigates the issues arising from the absence of domain closure and definability preservation in logical systems, aiming to understand their impact on logical reasoning and model theory.
Contribution
It provides an analysis of how domain closure and definability preservation affect logical frameworks and proposes conditions to address these problems.
Findings
Identifies key problems caused by lack of domain closure
Highlights the importance of definability preservation in logic
Proposes conditions to ensure better logical consistency
Abstract
We examine problems due to lack of domain closure and definability preservation
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Taxonomy
TopicsLogic, Reasoning, and Knowledge · Logic, programming, and type systems · Multi-Agent Systems and Negotiation