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DFG
2007
Springer
15 years 9 months ago
Why Interval Arithmetic is so Useful
: Interval arithmetic was introduced by Ramon Moore [Moo66] in the 1960s as an approach to bound rounding errors in mathematical computation. The theory of interval analysis emerge...
Younis Hijazi, Hans Hagen, Charles D. Hansen, Kenn...
ITP
2010
156views Mathematics» more  ITP 2010»
15 years 9 months ago
The Optimal Fixed Point Combinator
In this paper, we develop a general theory of fixed point combinators, in higher-order logic equipped with Hilbert’s epsilon operator. This combinator allows for a direct and e...
Arthur Charguéraud
ITP
2010
155views Mathematics» more  ITP 2010»
15 years 9 months ago
A Trustworthy Monadic Formalization of the ARMv7 Instruction Set Architecture
Abstract. This paper presents a new HOL4 formalization of the current ARM instruction set architecture, ARMv7. This is a modern RISC architecture with many advanced features. The f...
Anthony C. J. Fox, Magnus O. Myreen
ITP
2010
164views Mathematics» more  ITP 2010»
15 years 9 months ago
Nitpick: A Counterexample Generator for Higher-Order Logic Based on a Relational Model Finder
Nitpick is a counterexample generator for Isabelle/HOL that builds on Kodkod, a SAT-based first-order relational model finder. Nitpick supports unbounded quantification, (co)ind...
Jasmin Christian Blanchette, Tobias Nipkow
ITP
2010
179views Mathematics» more  ITP 2010»
15 years 9 months ago
The Isabelle Collections Framework
The Isabelle Collections Framework (ICF) provides a unified framework for using verified collection data structures in Isabelle/HOL formalizations and generating efficient functi...
Peter Lammich, Andreas Lochbihler