The Implicit Calculus of Constructions Extending Pure Type Systems with an Intersection Type Binder and Subtyping Alexandre Miquel1 INRIA Rocquencourt – Projet LogiCal BP 105, Le Chesnay cedex, France

Source URL: www.fing.edu.uy

User Interaction with the Matita Proof Assistant Andrea Asperti (), Claudio Sacerdoti Coen (), Enrico Tassi () and Stefano Zacchiroli () Departm

Source URL: matita.cs.unibo.it

• Automated theorem proving
• Software
• Theoretical computer science
• Proof assistants
• Functional languages
• Type theory
• Matita
• Formal methods
• Calculus of constructions
• Mathematical proof
• Automated reasoning
• Theorem

sadhana manuscript No. (will be inserted by the editor) A compact kernel for the calculus of inductive constructions A. Asperti · W. Ricciotti ·

Source URL: matita.cs.unibo.it

• Type theory
• Matita
• Calculus of constructions
• Lambda calculus
• Recursion
• Positive-definite kernel
• Anonymous function
• Metavariable
• HindleyMilner type system
• Type inference
• Parameter
• Dependent type

A BI-DIRECTIONAL REFINEMENT ALGORITHM FOR THE CALCULUS OF (CO)INDUCTIVE CONSTRUCTIONS ANDREA ASPERTI, WILMER RICCIOTTI, CLAUDIO SACERDOTI COEN, AND ENRICO TASSI Dipartimento di Scienze dell’informazione, Mura Anteo Zam

Source URL: matita.cs.unibo.it

• Type theory
• Matita
• Agda
• Unification
• Calculus of constructions
• Type system
• HindleyMilner type system
• System F
• Refinement
• Type inference
• Algorithm
• Dependent type

Internalizing Relational Parametricity in the Extensional Calculus of Constructions (Technical Appendix) Neelakantan R. Krishnaswami Derek Dreyer April 2013

Source URL: www.mpi-sws.org

Chapter 15 Constructive Zermelo-Fraenkel Set Theory, Power Set, and the Calculus of Constructions Michael Rathjen

Source URL: www1.maths.leeds.ac.uk

Pure Type Systems revisited Herman Geuvers Radboud University Nijmegen and Eindhoven University of Technology The Netherlands

Source URL: www.cs.ru.nl

• Lambda calculus
• Type theory
• Combinatory logic
• Pure type system
• Lambda cube
• Fixed-point combinator
• Calculus of constructions
• Explicit substitution
• Natural deduction

Towards Normalization by Evaluation for the βη-Calculus of Constructions (Extended Version) Andreas Abel Project PI.R2, INRIA Rocquencourt and PPS, Paris

Source URL: www.cse.chalmers.se

A calculus of constructions with explicit subtyping Ali Assaf September 16, 2014 Abstract The calculus of constructions can be extended with an infinite hierarchy of universes and cumulative subtyping. In this hierarchy,

Source URL: who.rocq.inria.fr

Coq à la Tarksi A predicative calculus of constructions with explicit subtyping A. Assaf1 1

Source URL: who.rocq.inria.fr