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Abstract: Decidability of definitional equality and conversion of terms into canonical form play a central role in the meta-theory of a type-theoretic logical framework. Most studies of definitional equality are based on a confluent, strongly-normalizing notion of reduction. Coquand has considered a different approach, directly proving the correctness of a practical equivalence algorithm based on the shape of terms. Neither approach appears to scale well to richer languages with unit types or subtyping,... (Update)
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BibTeX entry: (Update)
@misc{ lf-equivalence,
author = "In The Lf",
title = "On Equivalence and Canonical Forms",
url = "citeseer.ist.psu.edu/753278.html" }
Citations (may not include all citations):434 A framework for defining logics - Harper, Honsell et al. - 1993
382 Lambda calculi with types - Barendregt - 1992
96 An algorithm for testing conversion in type theory (context) - Coquand - 1991
46 Journal of Functional Programming (context) - Jay, Ghani et al. - 1995
43 Natural deduction for intuitionistic non-commutative linear .. - Polakow, Pfenning - 1999
38 Refinement types for logical frameworks - Pfenning - 1993
36 Dipartimento di Informatica (context) - Cervesato, Logical et al. - 1996
30 ato and Frank Pfenning. A linear logical framework. Informat.. (context) - Cerves - 1998
28 The Church-Rosser property for fij-reduction in typed -calcu.. (context) - Geuvers - 1992
28 Eta-expansions in dependent type theory --- the calculus of .. - Ghani - 1997
28 Encoding a dependent-type -calculus in a logic programming l.. (context) - Felty, Miller - 1990
24 Higher-Order Rewriting with Dependent Types - Virga - 1999
18 the definition of the eta-long normal form in type systems o.. - Dowek, Huet et al. - 1993
16 The Church-Rosser theorem for LF with fij-reduction (context) - Salvesen - 1990
13 Soundness of the logical framework for its typed operational.. (context) - Goguen - 1999
13 Unpublished lecture notes (context) - Pfenning, deduction - 1992
5 Decidable equivalence for singleton kinds (context) - Stone, Harper - 1999
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A Modal Analysis of Staged Computation - Davies, Pfenning (1995) (Correct)
Toward a Practical Type Theory for Recursive Modules - Dreyer, Harper, Crary (2001) (Correct)
Replication-Based Incremental Copying Collection - Nettles, O'Toole, Pierce.. (1993) (Correct)
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