57 search results - page 2 / 12 » Heterogeneous Reasoning in Real Arithmetic |
FLOPS
2008
Springer
13 years 7 months ago
2008
Springer
In this paper we describe some certified algorithms for exact real arithmetic based on co-recursion. Our work is based on previous experiences using redundant digits of base 2 but ...
CADE
2005
Springer
14 years 5 months ago
2005
Springer
We present a fully proof-producing implementation of a quantifier elimination procedure for real closed fields. To our knowledge, this is the first generally useful proof-producing...
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...
ICLP
2005
Springer
13 years 11 months ago
2005
Springer
Abduction is usually carried out on partially-defined predicates. In this paper we investigate abduction applied to fully-defined predicates, specifically linear arithmetic cons...
CSL
2006
Springer
13 years 9 months ago
2006
Springer
A complete and decidable propositional logic for reasoning about states of probabilistic sequential programs is presented. The state logic is then used to obtain a sound Hoare-styl...