The Independence of Peano's Fourth Axiom from Martin-Löf's Type Theory without Universes (1988)

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by Jan M. Smith
Venue:Journal of Symbolic Logic
Citations:17 - 2 self

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10 The Strength of the Subset Type in Martin-Löf's Type Theory – Anne Salvesen, Jan M. Smith - 1988
19 Higher Order Logic – Daniel Leivant - 1994
On the Syntax of Dependent Types and the Coherence Problem (working draft) – Peter Dybjer - 1994
1 Propositional Functions and Families of Types – Jan M. Smith - 1989
7 Partial computations in constructive type theory – Scott F. Smith - 1991
3 A Correspondence between Martin-Löf Type Theory, the Ramified Theory of Types and Pure Type Systems – Fairouz Kamareddine, Twan Laan - 2001
5 Ordinals and Interactive Programs – Peter Hancock - 2000
18 Well-ordering proofs for Martin-Löf Type Theory – Anton Setzer - 1998
15 NuPRL’s class theory and its applications – Robert L. Constable, Jason Hickey - 2000
TYPES, SETS AND CATEGORIES – John L. Bell
28 Induction-recursion and initial algebras – Peter Dybjer, Anton Setzer - 2003
32 On universes in type theory – Erik Palmgren - 1998
44 Indexed Induction-Recursion – Peter Dybjer, Anton Setzer - 2001
65 Inductive Families – Peter Dybjer - 1997
65 A General Formulation of Simultaneous Inductive-Recursive Definitions in Type Theory – Peter Dybjer - 1998
The mini-workshop The Homotopy Interpretation of Constructive Type Theory, – Mathematisches Forschungsinstitut Oberwolfach, Steve Awodey, Richard Garner Sydney - 2011
6 Constructive Mathematics, in Theory and Programming Practice – Douglas Bridges, Steve Reeves - 1997
4 TYPE THEORY AND HOMOTOPY – Steve Awodey
103 On The Type Structure of Standard ML – Robert Harper, John C. Mitchell - 1993