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Abstract: : First-order Horn clause logic can be extended to a higher-order setting in which function and predicate symbols can be variables and terms are replaced with simply typed -terms. For such a logic programming language to be complete in principle, it must incorporate higher-order unification. Although higher-order unification is more complex than usual first-order unification, its availability makes writing certain kinds of programs far more straightforward. In this paper, we present such... (Update)
Context of citations to this paper: More
...unification like a Prolog interpreter. An example of such an implementation, as a metainterpreter on top of Lambda Prolog, is given in [9]. Observe however that an important difference of such a theorem prover from a standard Prolog interpreter is in the wider distribution of...
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Higher-Order Horn Clauses - Gopalan Nadathur Duke (1990) (Correct)
Encoding Generic Judgments - Dale Miller Computer (2001) (Correct)
Automating Functional Program Transformation - Mottl (2000) (Correct)
Active bibliography (related documents): More All
0.1: Higher-Order Logic as the Basis for Logic Programming - Nadathur (1989) (Correct)
0.1: UNIFORM PROOFS AS A FOUNDATION FOR LOGIC PROGRAMMING Dale Miller - Computer And (1989) (Correct)
0.1: On the Parallel Implementation of the Higher-Order Logic.. - Arcelli, Formato (Correct)
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0.7: Some Uses of Higher-Order Logic - In Computational Linguistics (Correct)
0.4: Logic in topoi: Functorial Semantics for Higher-Order Logic - Awodey (1997) (Correct)
0.3: The Metalanguage Prolog and Its Implementation - Nadathur (Correct)
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20: An unification algorithm for typed -calculus (context) - Huet - 1975
18: An overview of prolog (context) - Nadathur, Miller - 1988
18: Higher-order abstract syntax (context) - Pfenning, Elliott - 1988
BibTeX entry: (Update)
Dale Miller and Gopalan Nadathur. A logic programming approach to manipulating formulas and programs. In Seif Haridi, editor, IEEE Symposium on Logic Programming, pages 379--388, San Francisco, September 1987. http://citeseer.ist.psu.edu/article/miller94logic.html More
@inproceedings{ miller87logic,
author = "D. Miller and G. Nadathur",
title = "A Logic Programming Approach to Manipulating Formulas and Programs",
booktitle = "Proceedings of the Fifth International Conference and Symposium on Logic Programming",
month = "August - September",
publisher = "Computer Society Press",
address = "San Francisco",
pages = "379-388",
year = "1987",
url = "citeseer.ist.psu.edu/article/miller94logic.html" }
Citations (may not include all citations):363 Programming in Prolog (context) - Clocksin, Mellish - 1981
174 A Unification Algorithm for Typed -Calculus (context) - Huet - 1975
146 Investigations into Logical Deductions (context) - Gentzen - 1969
121 Proving and Applying Program Transformations Expressed with .. (context) - Huet, Lang - 1978 DBLP
69 Higher-order extension to PROLOG: are they needed (context) - Warren - 1982
39 Springer Verlag (context) - Gordon, Milner et al. - 1979
39 Natural Deduction as Higher-Order Resolution - Paulson - 1986 ACM DBLP
39 A System which Automatically Improves Programs (context) - Darlington, Burstall - 1973 DBLP
36 A Theory of Modules for Logic Programming (context) - Miller - 1986 DBLP
31 A Higher-Order Logic as the Basis for Logic Programming - Nadathur - 1987 ACM
18 Some Uses of Higher-Order Logic in Computational Linguistics - Miller, Nadathur - 1986 ACM
1 and U. Reyle, "N-Prolog: An Extension to Prolog with Hypothe.. (context) - Gabbay - 1984
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