Reference health

Sets in types, types in sets

https://doi.org/10.1007/bfb0014566
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9/9 checkable references clean · checked 2026-08-12

Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

11 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.

The 9 checked references that resolve
resolves10.1016/S0049-237X(08)71989-X
The Type Theoretic Interpretation of Constructive Set Theory
resolves10.1016/S0049-237X(09)70120-X
The Type Theoretic Interpretation of Constructive Set Theory: Choice Principles
resolves10.1016/S0049-237X(09)70683-4
The Type Theoretic Interpretation of Constructive Set Theory: Inductive Definitions
resolves10.2307/2266170
A formulation of the simple theory of types
resolves10.1007/3-540-52335-9_47
Inductively defined types
resolves10.1017/CBO9780511569807.012
Inductive sets and families in Martin-Löf's type theory and their set-theoretic semantics
resolves10.1109/LICS.1991.151641
On computational open-endedness in Martin-Lof's type theory
resolves10.1007/3-540-13346-1_7
Polymorphism is not set-theoretic
resolves10.2307/2275781
Intuitionistic sets and ordinals
The 11 references without a DOI — listed, not checked
no DOI — not checkedT. Altenkirch. Constructions, Inductive Types and Strong Normalization. Ph.D. Thesis, University of Edinburgh, 1993.
no DOI — not checkedH. Barendregt. Lambda Calculi with Types. In Handbook of Logic in Computer Science, Vol II, Elsevier, 1992 6. B. Barras et al. The Coq Proof Assistant Reference Manual, Version 6.1. INRIA Technical Report, 1996.
no DOI — not checkedT. Coquand. An Analysis of Girard's Paradox. Proceeding of LICS, IEEE press, 1985.
no DOI — not checkedT. Coquand. Metamathematical Investigations of a Calculus of Constructions. In P. Oddifredi (editor), Logic and Computer Science. Academic Press, 1990. Rapport de recherche INRIA 1088.
no DOI — not checkedJ.-Y. Girard. Interprétation fonctionnelle et élimination des coupures de l'arithmétique d'ordre supérieur, Thése d'Etat, Université Paris 7, 1972.
no DOI — not checkedJ.-L. Krivine. Théorie Axiomatique des Ensembles, Presses Universitaires de France, 1969.
no DOI — not checkedK. Kunen. Set Theory, An Introduction-Independence Proofs, North-Holland, 1980.
no DOI — not checkedZ. Luo. An Extended Calculus of Constructions. Ph.D. Thesis, University of Edinburgh, 1990.
no DOI — not checkedP. Martin-Löf. Intuitionistic Type Theory. Studies in Proof Theory, Bibliopolis, 1984.
no DOI — not checkedP.-A. Melliés and B. Werner. A Generic Normalization Proof for Pure Type Systems. Submitted and vailable on http://pauillac.inria.fr/-Werner/, 1996.
no DOI — not checkedB. Werner. An Encoding of ZFC Set Theory in Coq. Coq proof-file, available on http: //pauillac. inria. f r/ Werner/ or as part of Coq distribution, 1997.
What this badge says. CiteStamped means the CHECKABLE references of this work were clean at the dated check: each resolved to a known work in a public registry, and none carried a retraction notice at that time. It says nothing about the quality, findings, or importance of the work itself, and nothing about references deposited without a DOI.

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