Polymorphic lemmas and definitions in $\lambda$Prolog and Twelf

$\lambda$Prolog is known to be well-suited for expressing and implementing logics and inference systems. We show that lemmas and definitions in such logics can be implemented with a great economy of expression. We encode a higher-order logic using an encoding that maps both terms and types of the ob...

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Veröffentlicht in:Theory and practice of logic programming Jg. 4; H. 1-2; S. 1 - 39
Hauptverfasser: APPEL, ANDREW W., FELTY, AMY P.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cambridge, UK Cambridge University Press 01.01.2004
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ISSN:1471-0684, 1475-3081
Online-Zugang:Volltext
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Zusammenfassung:$\lambda$Prolog is known to be well-suited for expressing and implementing logics and inference systems. We show that lemmas and definitions in such logics can be implemented with a great economy of expression. We encode a higher-order logic using an encoding that maps both terms and types of the object logic (higher-order logic) to terms of the metalanguage ($\lambda$Prolog). We discuss both the Terzo and Teyjus implementations of $\lambda$Prolog. We also encode the same logic in Twelf and compare the features of these two metalanguages for our purposes.
Bibliographie:SourceType-Scholarly Journals-1
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content type line 14
ISSN:1471-0684
1475-3081
DOI:10.1017/S1471068403001698