Certified Exact Real Arithmetic Using Co-induction in Arbitrary Integer Base-Reference-Cited by-同舟云学术

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Certified Exact Real Arithmetic Using Co-induction in Arbitrary Integer Base

Published: Issue: Volume: Page:48-63
ISSN:
Container-title:Functional and Logic Programming
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Author:

Julien Nicolas

Publisher

Springer Berlin Heidelberg

Link

http://link.springer.com/content/pdf/10.1007/978-3-540-78969-7_6.pdf

Reference14 articles.

1. Avizienis, A.A.: Signed-digit number representations for fast parallel arithmetic. IRE Transactions on Electronic Computers 10, 389–400 (1961)

2. Bertot, Y.: Affine functions and series with co-inductive real numbers. Mathematical Structure in Computer Sciences 17(1) (2007)

3. Bertot, Y., Castéran, P.: Interactive Theorem Proving and Program Development. In: Coq’Art:the Calculus of Inductive Constructions, Springer, Heidelberg (2004)

4. Lecture Notes in Computer Science;A. Ciaffaglione,2000

5. Coq development team. The Coq Proof Assistant Reference Manual, version 8.0 (2004)

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Designing and proving correct a convex hull algorithm with hypermaps in Coq;Computational Geometry;2012-10

2. Formal proofs for theoretical properties of Newton's method;Mathematical Structures in Computer Science;2011-07-01

3. Computer Certified Efficient Exact Reals in Coq;Lecture Notes in Computer Science;2011

4. Formal Verification of Exact Computations Using Newton’s Method;Lecture Notes in Computer Science;2009

5. Real Number Calculations and Theorem Proving;Lecture Notes in Computer Science;2008

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