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Higher-Order Computational Logic

Authors: Lloyd, John;

Higher-Order Computational Logic

Abstract

This paper presents a case for the use of higher-order logic as a foundation for computational logic. A suitable polymorphically-typed, higher-order logic is introduced and its syntax and proof theory briefly described. In addition, a metric space of closed terms suitable for knowledge representation purposes is presented. The approach to representing individuals is illustrated with some examples, as is the technique of programming with abstractions. The paper concludes by placing the results in the wider context of previous and current research in the use of higher-order logic in computational logic.

Related Organizations
Keywords

Metric spaces, Higher order logic, Knowledge representation, Proof theory, Keywords: Computational logic, Logic programming

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Top 10%
Average
Green