Information and Computation - Semantics of Data Types
Constructive mathematics: a foundation for computable analysis
Theoretical Computer Science - Special issue on computability and complexity in analysis
Computable analysis: an introduction
Computable analysis: an introduction
A Co-inductive Approach to Real Numbers
TYPES '99 Selected papers from the International Workshop on Types for Proofs and Programs
Constructive Reals in Coq: Axioms and Categoricity
TYPES '00 Selected papers from the International Workshop on Types for Proofs and Programs
Semantics of Exact Real Arithmetic
LICS '97 Proceedings of the 12th Annual IEEE Symposium on Logic in Computer Science
Constructive Reals in Coq: Axioms and Categoricity
TYPES '00 Selected papers from the International Workshop on Types for Proofs and Programs
A certified, corecursive implementation of exact real numbers
Theoretical Computer Science - Real numbers and computers
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The aim of this work is to characterize constructive real numbers through a minimal axiomatization. We introduce, discuss and justify 16 constructive axioms. Then we address their expressivity considering the alternative axiomatizations.