Characterizing the interpretation of set theory in Martin-Löf type theory

Characterizing the interpretation of set theory in Martin-Löf type theory

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by Michael Rathjen , Sergei Tupailo

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@MISC{Rathjen_characterizingthe,
    author = {Michael Rathjen and Sergei Tupailo},
    title = {Characterizing the interpretation of set theory in Martin-Löf type theory},
    year = {}
}

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Citations

342	Constructive Analysis - Bishop, Bridges - 1985
237	Foundations of Constructive Mathematics - Beeson - 1985
171	Admissible Sets and Structures - Barwise - 1975
129	An intuitionistic theory of types: predicative part - Martin-Löf - 1975
123	Intuitionistic type theory. Bibliopolis - Martin-Löf - 1984
106	The type-theoretic interpretation of constructive set theory: inductive definitions - Aczel - 1986
45	Constructive set theory - Myhill - 1975
40	Notes on constructive set theory - Aczel, Rathjen
21	Set-theoretic foundations for constructive analysis Ann - Friedman - 1977
20	Axiom of choice and complementation - Diaconescu - 1975
14	The strength of some Martin{Lof type theories. Archive for Mathematical Logic 33 - Rathjen - 1994
11	Feferman: Constructive Theories of Functions and classes - unknown authors - 1979
7	The lack of definable witnesses and provably recursive functions in intuitionistic set theories - Friedman, A - 1985
6	Continuity in intuitionistic set theories - Beeson - 1979
4	set Recursion, Annals of Pure and Applied Logic 71 - Moss, Power - 1995
4	Choice principles in constructive and classical set theories - Rathjen - 2006
4	Realization of analysis into explicit mathematics - Tupailo
4	Realization of constructive set theory into explicit mathematics: a lower bound for impredicative Mahlo operation - Tupailo
3	Moschovakis: Recursion in the universe of sets, mimeographed note - N - 1976
3	Set recursion, in Generalized Recursion Theory - Normann - 1978
2	The formulae-as-classes interpretation of constructive set theory. To appear in - Rathjen
2	Sacks: Higher Recursion Theory - E - 1990
1	The Disjunction and numerical existence property for constructive Zermelo-Fraenkel set theory. To appear - Rathjen