18 search results - page 2 / 4 » Coinductive Formal Reasoning in Exact Real Arithmetic |
LICS
1997
IEEE
13 years 10 months ago
1997
IEEE
In this paper, we incorporate a representation of the non-negative extended real numbers based on the composition of linear fractional transformations with nonnegative integer coe...
CIE
2010
Springer
13 years 4 months ago
2010
Springer
Abstract. We study a realisability interpretation for inductive and coinductive definitions and discuss its application to program extraction from proofs. A speciality of this inte...
CADE
2006
Springer
14 years 6 months ago
2006
Springer
Abstract. We present a formally verified quantifier elimination procedure for the first order theory over linear mixed real-integer arithmetics in higher-order logic based on a wor...
TYPES
2000
Springer
13 years 9 months ago
2000
Springer
Abstract. 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 addr...
DATE
1999
IEEE
13 years 10 months ago
1999
IEEE
If real number calculations are implemented as circuits, only a limited preciseness can be obtained. Hence, formal verification can not be used to prove the equivalence between th...