A Correspondence between Martin-Löf Type Theory, the Ramified Theory of Types and Pure Type Systems (2001)

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by Fairouz Kamareddine , Twan Laan
Venue:Journal of Logic, Language and Information
Citations:3 - 1 self

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TYPES, SETS AND CATEGORIES – John L. Bell
11 Types in logic and mathematics before 1940 – Fairouz Kamareddine, Twan Laan, Rob Nederpelt - 2002
19 Higher Order Logic – Daniel Leivant - 1994
1 A Reflection on Russell's Ramified Types and Kripke's Hierarchy of Truths – Fairouz Kamareddine, Twan Laan - 1996
3 A formalization of the Ramified Type Theory – Twan Laan - 1994
1 Model transformations with constructive type theory – Jeffrey Terrell
The Triumph of Types: Principia Mathematica’s Impact on Computer Science – Robert L. Constable
Journal of the IGPL – Volume Number March, Dov M. Gabbay, Hans J Urgen Ohlbach, Jon Barwise, Wilfrid Hodges, Hans Kamp, Robert Kowalski, Ewa Orlowska, Amir Pnueli, Vaughan Pratt, Johan Van Benthem
century: A journey through Frege, Russell and – Fairouz Kamareddine - 2004
From the Foundation of Mathematics to the Birth of Computation – Fairouz Kamareddine - 2011
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
24 Type Checking with Universes – Robert Harper, Robert Pollack - 1991
47 Proof-assistants using Dependent Type Systems – Henk Barendregt, Herman Geuvers - 2001
103 On The Type Structure of Standard ML – Robert Harper, John C. Mitchell - 1993
2 Proof-search in type-theoretic languages: an introduction – Didier Galmiche, David J. Pym - 2000
(Typed) λ-Calculi à la de Bruijn – unknown authors - 2012
3 Reviewing the classical and the de Bruijn notation for λ-calculus and pure type systems – Fairouz Kamareddine - 2001
22 Type-Theoretic Methodology For Practical Programming Languages – Karl Fredrick Crary - 1998
5 Naïve computational type theory – Robert L. Constable - 2002