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The strength of some Martin-L�f type theories
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-642-68952-9openalex-snapshot
Foundations of Constructive Mathematics
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Admissible Sets and Structures
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Type-theoretic interpretation of iterated, strictly positive inductive definitions
inferredcites →https://doi.org/10.1007/bf02023014openalex-snapshot
A well-ordering proof for Feferman's theoryT 0
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Zur Beweistheorie Der Kripke-Platek-Mengenlehre Über Den Natürlichen Zahlen
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A language and axioms for explicit mathematics
inferredcites →https://doi.org/10.1007/bfb0091896openalex-snapshot
Proof theoretic equivalences between classical and constructive theories for analysis
inferredcites →https://doi.org/10.1016/0003-4843(82)90003-1openalex-snapshot
Recursive models for constructive set theories
inferredcites →https://doi.org/10.1016/s0049-237x(08)71625-2openalex-snapshot
Constructive Theories of Functions and Classes
inferredcites →https://doi.org/10.1016/s0049-237x(08)71989-xopenalex-snapshot
The Type Theoretic Interpretation of Constructive Set Theory
inferredcites →https://doi.org/10.1016/s0049-237x(09)70683-4openalex-snapshot
The Type Theoretic Interpretation of Constructive Set Theory: Inductive Definitions
inferredcites →https://doi.org/10.1016/s0049-237x(09)x7019-9openalex-snapshot
Constructivism in Mathematics - An Introduction
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Can You Add Power‐Sets to Martin‐Lof's Intuitionistic Set Theory?
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On the regular extension axiom and its variants
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A Theory of Explicit Mathematics Equivalent to ID 1
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Collection Principles in Dependent Type Theory
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On Relating Type Theories and Set Theories
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A Finite Axiomatization of Inductive-Recursive Definitions
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The Constructive Hilbert Program and the Limits of Martin-Löf Type Theory
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A New Foundational Crisis in Mathematics, Is It Really Happening?
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An Upper Bound for the Proof-Theoretic Strength of Martin-Löf Type Theory with W-type and One Universe
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The Use of Trustworthy Principles in a Revised Hilbert’s Program
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Proof Theory of Constructive Systems: Inductive Types and Univalence
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Wellfounded Trees and Dependent Polynomial Functors
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On the Constructive Dedekind Reals: Extended Abstract
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The Higher Infinite in Proof Theory
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Proof theory and Martin-Löf Type Theory
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Constructive Zermelo-Fraenkel Set Theory, Power Set, and the Calculus of Constructions
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Non-deterministic inductive definitions
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The strength of Martin-Löf type theory with a superuniverse. Part II
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Intuitionistic choice and classical logic
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Hereditarily effective typestreams
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Replacement versus collection and related topics in constructive Zermelo–Fraenkel set theory
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Heyting-valued interpretations for Constructive Set Theory
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CZF and Second Order Arithmetic
inferred← citeshttps://doi.org/10.1016/j.apal.2005.11.005openalex-snapshot
Quotient topologies in constructive set theory and type theory
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Characterizing the interpretation of set theory in Martin-Löf type theory
inferred← citeshttps://doi.org/10.1016/j.apal.2013.08.001openalex-snapshot
Constructive Zermelo–Fraenkel set theory and the limited principle of omniscience
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A new model construction by making a detour via intuitionistic theories II: Interpretability lower bound of Feferman's explicit mathematics T0
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Gödel’s Functional (“Dialectica”) Interpretation
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Functional interpretation of Aczel's constructive set theory
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Extending the system T0 of explicit mathematics: the limit and Mahlo axioms
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Inaccessible set axioms may have little consistency strength
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Realization of constructive set theory into explicit mathematics: a lower bound for impredicative Mahlo universe
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On the proof-theoretic strength of monotone induction in explicit mathematics
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Inaccessibility in constructive set theory and type theory
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Well-ordering proofs for Martin-Löf type theory
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The Higher Infinite in Proof Theory
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Choice principles in constructive and classical set theories
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Realizability for constructive Zermelo-Fraenkel set theory
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The Superjump in Martin-Löf Type Theory
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Universes in type theory part I—Inaccessibles and Mahlo
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2004 Summer Meeting of the Association for Symbolic Logic
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Concepts and aims of functional interpretations: towards a functional interpretation of constructive set theory
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Mathematical Proof Theory in the Light of Ordinal Analysis
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PRESHEAF MODELS FOR CONSTRUCTIVE SET THEORIES
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Towards a constructive simplicial model of Univalent Foundations
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The Proof-Theoretic Strength of Constructive Second-Order Set Theories
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An Extended Predicative Definition of the Mahlo Universe
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2005 Summer Meeting of the Association for Symbolic Logic. Logic Colloquium '05
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The disjunction and related properties for constructive Zermelo-Fraenkel set theory
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