A General Formulation of Simultaneous Inductive-Recursive Definitions in Type Theory (1998)

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by Peter Dybjer
Venue:Journal of Symbolic Logic
Citations:56 - 9 self

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24 Induction-recursion and initial algebras – Peter Dybjer, Anton Setzer - 2003
17 Normalization by evaluation for Martin-Löf type theory with one universe – Andreas Abel, Klaus Aehlig, Peter Dybjer - 2007
36 Indexed Induction-Recursion – Peter Dybjer, Anton Setzer - 2001
35 A finite axiomatization of inductive-recursive definitions – Peter Dybjer, Anton Setzer - 1999
59 Inductive Families – Peter Dybjer - 1997
5 Ordinals and Interactive Programs – Peter Hancock - 2000
44 Intuitionistic Model Constructions and Normalization Proofs – Thierry Coquand, Peter Dybjer - 1998
26 Constructions, Inductive Types and Strong Normalization – Thorsten Altenkirch - 1993
1 A lambda calculus model of Martin-Löf's theory of types with explicit substitution – Daniel Fridlender - 1997
9 The structure of nuprl’s type theory – Robert L. Constable - 1997
91 Martin-Löf’s Type Theory – B. Nordström, K. Petersson, J. M. Smith - 2000
1 TYPE THEORY AND HOMOTOPY – Steve Awodey
65 The Theory of LEGO - A Proof Checker for the Extended Calculus of Constructions – Robert Pollack - 1994
14 Representing Inductively Defined Sets by Wellorderings in Martin-Löf's Type Theory – Peter Dybjer - 1996
Naïve Type Theory – Robert L. Constable - 2002
2 Naïve computational type theory – Robert L. Constable - 2002
70 Inductive Sets and Families in Martin-Löf's Type Theory and Their Set-Theoretic Semantics – Peter Dybjer - 1991
Categories and Subject Descriptors: F.4.1 [Mathematical Logic and Formal Languages]: Mathematical Logic—Lambda Calculus and Related Systems; Mechanical Theorem Proving General Terms: Theory – Robin Adams, Zhaohui Luo
2 An Interpretation of Kleene's Slash in Type Theory – Jan M. Smith - 1993