18 search results - page 2 / 4 » Coinductive Formal Reasoning in Exact Real Arithmetic |
LICS
1997
IEEE
13 years 9 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 3 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 5 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 8 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 9 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...