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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5 Types in logic and mathematics before 1940 – Fairouz Kamareddine, Twan Laan, Rob Nederpelt - 2002
16 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
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
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
23 Type Checking with Universes – Robert Harper, Robert Pollack - 1991
39 Proof-assistants using Dependent Type Systems – Henk Barendregt, Herman Geuvers - 2001
98 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
2 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
2 Naïve computational type theory – Robert L. Constable - 2002
Naïve Type Theory – Robert L. Constable - 2002
5 Ordinals and Interactive Programs – Peter Hancock - 2000
3 Revisiting the Notion of Function – Fairouz Kamareddine, Twan Laan, Rob Nederpelt
1 Propositional Functions and Families of Types – Jan M. Smith - 1989
6 The Calculus of Constructions and Higher Order Logic – Herman Geuvers - 1992
Lambda-Calculus and Functional Programming – Jonathan P. Seldin