57 search results - page 2 / 12 » Heterogeneous Reasoning in Real Arithmetic |
FLOPS
2008
Springer
14 years 12 days 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 11 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
14 years 3 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
14 years 4 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
14 years 2 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...