Normalization by evaluation for Martin-Löf type theory with one universe

Normalization by evaluation for Martin-Löf type theory with one universe (2007)

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by Andreas Abel , Klaus Aehlig , Peter Dybjer

Venue:	IN 23RD CONFERENCE ON THE MATHEMATICAL FOUNDATIONS OF PROGRAMMING SEMANTICS, MFPS XXIII, ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE
Citations:	17 - 11 self

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@INPROCEEDINGS{Abel07normalizationby,
    author = {Andreas Abel and Klaus Aehlig and Peter Dybjer},
    title = {Normalization by evaluation for Martin-Löf type theory with one universe},
    booktitle = {IN 23RD CONFERENCE ON THE MATHEMATICAL FOUNDATIONS OF PROGRAMMING SEMANTICS, MFPS XXIII, ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE},
    year = {2007},
    pages = {17--39},
    publisher = {Elsevier}
}

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Citations

997	The Lambda Calculus: its Syntax and Semantics - Barendregt - 1984
301	Intuitionistic Type Theory - Martin-Löf - 1984
242	Programming in Martin-Löf’s Type Theory. An Introduction - Nordström, Petersson, et al. - 1990
237	Combinatory Reduction Systems - Klop - 1980
235	Constructive mathematics and computer programming - Martin-Lof - 1982
195	Type-directed partial evaluation - Danvy - 1998
158	An introduction to inductive definitions - Aczel - 1977
135	Implementing mathematics with the Nuprl proof development system - Constable, Allen, et al. - 1986
132	The view from the left - McBride, McKinna - 2004
129	An intuitionistic theory of types: predicative part - Martin-Löf - 1975
123	Intuitionistic type theory. Bibliopolis - Martin-Löf - 1984
103	An algorithm for testing conversion in type theory - Coquand - 1990
78	On equivalence and canonical forms in the LF type theory - Harper, Pfenning - 2005
67	Foundations of Constructive Mathematics: Metamathematical Studies, Ergebnisse der Mathematik und ihrer Grenzgebiete - Beeson - 1985
59	An Intuitionistic Theory of Types - Martin-Lof - 1973
56	A general formulation of simultaneous inductive-recursive definitions in type theory - Dybjer - 1998
55	A non-type-theoretic semantics for type-theoretic language - Allen - 1987
46	A Typed Operational Semantics for Type Theory - Goguen - 1994
45	An inverse of the evaluation functional for typed λ-calculus - Berger, Schwichtenberg - 1991
41	An algorithm for type-checking dependent types - Coquand - 1995
38	Alpha-structural recursion and induction - Pitts
37	Syntax and semantics of dependent types - Hofmann - 1997
36	Indexed induction-recursion - Dybjer, Setzer - 2006
33	Internal type theory - Dybjer - 1996
28	Extensional equivalence and singleton types - Stone, Harper
26	inductive types and strong normalization - Altenkirch, “Constructions - 1993
26	A Model of Type Theory - Streicher
25	A semantic account of type-directed partial evaluation - Filinski - 1999
24	On a monadic semantics for freshness - Shinwell, Pitts
21	About models for intuitionistic type theories and the notion of definitional equality - Martin-Löf - 1973
11	A formalisation of a dependently typed language as an inductive-recursive family - Danielsson - 2006
11	Pure type systems with judgemental equality - Adams
10	F.: Operational aspects of untyped normalization by evaluation - Aehlig, Joachimski
10	Term rewriting for normalization by evaluation - Berger, Eberl, et al.
9	Untyped algorithmic equality for Martin-Löf’s logical framework with surjective pairs - Abel, Coquand - 2007
9	The strength of Martin-Löf’s type theory with one universe - Aczel - 1977
9	An Intuitionistic Theory of Types: Predicative - Martin-Löf - 1975
8	A realizability interpretation of Martin-Löf’s type theory. Twentyfive years of constructive type theory - Coquand - 1995
8	Combinators and classes - Scott - 1975
7	K.: A denotational account of untyped normalization by evaluation - Filinski, Rohde - 2004
6	Frege Structures and the - Aczel - 1980
2	Normalization by evaluation and by the method of computability (2004), talk at - Martin-Löf
1	Normalization by evaluation and by the method of computability. Talk at - Martin-Löf - 2004