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Abstract: We report on work in progress regarding a foundation for the notion of meta-variable in logical frameworks and type theories. Our proposal is to treat meta-variables as modal variables in a modal type theory, which is logically clean and justifies several low-level implementation techniques for meta-variables. We also speculate on other logical extensions of our modal type theory, at present without clear applications. (Update)
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BibTeX entry: (Update)
Aleksandar Nanevski, Brigitte Pientka, and Frank Pfenning. A modal foundation for meta-variables. In Proceedings of MERLIN'03, Uppsala, Sweden, pages 159-- 170, 2003. http://citeseer.ist.psu.edu/article/nanevski03modal.html More
@misc{ nanevski03modal,
author = "A. Nanevski and B. Pientka and F. Pfenning",
title = "A modal foundation for meta-variables",
text = "Aleksandar Nanevski, Brigitte Pientka, and Frank Pfenning. A modal foundation
for meta-variables. In Proceedings of MERLIN'03, Uppsala, Sweden, pages
159-- 170, 2003.",
year = "2003",
url = "citeseer.ist.psu.edu/article/nanevski03modal.html" }
Citations (may not include all citations):434 A framework for defining logics - Harper, Honsell et al. - 1993
174 A unification algorithm for typed #-calculus (context) - Huet - 1975
84 Mathematical Structures in Computer Science (context) - Pfenning, Davies et al. - 2001
70 the meanings of the logical constants and the justifications.. (context) - Martin-Lof - 1996
68 Unification under a mixed prefix (context) - Miller - 1992
61 Higher-order unification via explicit substitutions - Dowek, Hardin et al. - 1995
37 Unification via explicit substitutions: The case of higher-o.. - Dowek, Hardin et al. - 1996
8 Optimizing higher-order pattern unification - Pientka, Pfennning - 2003
4 Higher-order substitution tree indexing - Pientka - 2003
4 Tabled higher-order logic programming - Pientka - 2003
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