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Abstract: We propose related algorithms for unification and constraint simplification in !& , a refinement of the simply-typed -calculus with subtypes and bounded intersection types. !& is intended as the basis of a logical framework in order to achieve more succinct and declarative axiomatizations of deductive systems than possible with the simply-typed -calculus. The unification and constraint simplification algorithms described here lay the groundwork for a mechanization of such frameworks as... (Update)
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BibTeX entry: (Update)
@inproceedings{ kohlhase93unification,
author = "Michael Kohlhase and Frank Pfenning",
title = "Unification in a Lambda-Calculus with Intersection Types",
booktitle = "International Logic Programming Symposium",
pages = "488-505",
year = "1993",
url = "citeseer.ist.psu.edu/17802.html" }
Citations (may not include all citations):434 A framework for defining logics - Harper, Honsell et al. - 1993 ACM DBLP
340 Uniform proofs as a foundation for logic programming (context) - Miller, Nadathur et al. - 1991 ACM DBLP
210 Logic programming in the LF logical framework - Pfenning - 1991 ACM
174 A unification algorithm for typed -calculus (context) - Huet - 1975
166 An overview of Prolog (context) - Nadathur, Miller - 1988
81 Refinement types for ML - Freeman, Pfenning - 1991 ACM DBLP
68 Unification under a mixed prefix (context) - Miller - 1992
67 Programming with Intersection Types and Bounded Polymorphism - Pierce - 1991 ACM
61 Logic Programming over Polymorphically Order-Sorted Types - Smolka - 1989
54 Specifying and Implementing Theorem Provers in a HigherOrder.. (context) - Felty - 1989
49 Computational Aspects of an Order-Sorted Logic with Term Dec.. (context) - Schmidt-Schauss - 1989 ACM
46 Types in Logic Programming (context) - Pfenning - 1992 ACM DBLP
39 A complete type inference algorithm for simple intersection .. (context) - Coppo, Giannini - 1992 ACM DBLP
27 The coherence of languages with intersection types (context) - Reynolds - 1991 ACM DBLP
25 Isabelle tutorial and user's manual - Paulson, Nipkow - 1990
25 Investigating a Proof-Theoretic Meta-Language for Functional.. (context) - Hannan - 1991
23 The new implementation of ALF (context) - Magnusson - 1992
14 Reduction and unification in lambda calculi with subtypes (context) - Nipkow, Qian - 1992
11 Progress in Computer Science and Applied Logic (context) - Snyder, Theory et al. - 1991
10 Unification in order-sorted type theory (context) - Kohlhase - 1992
7 Intersection types for a logical framework - Pfenning - 1992
4 Order-sorted type theory I: Unification (context) - Kohlhase - 1991
1 Combining prescriptive and taxonomic types in logic programm.. (context) - Hill - 1993
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