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» The Implicit Calculus of Constructions
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TLCA
2001
Springer
14 years 3 months ago
The Implicit Calculus of Constructions
In this paper, we introduce a new type system, the Implicit Calculus of Constructions, which is a Curry-style variant of the Calculus of Constructions that we extend by adding an i...
Alexandre Miquel
FOSSACS
2008
Springer
14 years 22 days ago
The Implicit Calculus of Constructions as a Programming Language with Dependent Types
Abstract. In this paper, we show how Miquel's Implicit Calculus of Constructions (ICC) can be used as a programming language featuring dependent types. Since this system has a...
Bruno Barras, Bruno Bernardo
PLDI
2012
ACM
12 years 1 months ago
The implicit calculus: a new foundation for generic programming
Generic programming (GP) is an increasingly important trend in programming languages. Well-known GP mechanisms, such as type classes and the C++0x concepts proposal, usually combi...
Bruno C. d. S. Oliveira, Tom Schrijvers, Wontae Ch...
CORR
2012
Springer
212views Education» more  CORR 2012»
12 years 7 months ago
A Bi-Directional Refinement Algorithm for the Calculus of (Co)Inductive Constructions
The paper describes the refinement algorithm for the Calculus of (Co)Inductive Constructions (CIC) implemented in the interactive theorem prover Matita. The refinement algorithm ...
Andrea Asperti, Wilmer Ricciotti, Claudio Sacerdot...
CSL
2010
Springer
14 years 8 days ago
A Sequent Calculus with Implicit Term Representation
We investigate a modification of the sequent calculus which s a first-order proof into its abstract deductive structure and a unifier which renders this structure a valid proof. We...
Stefan Hetzl