Title
Fixpoint-guided abstraction refinements
Abstract
In this paper, we present an abstract fixpoint checking algorithm with automatic refinement by backward completion in Moore closed abstract domains. We study the properties of our algorithm and prove it to be more precise than the counterexample guided abstract refinement algorithm (CEGAR). Contrary to several works in the literature, our algorithm does not require the abstract domains to be partitions of the state space. We also show that our automatic refinement technique is compatible with so-called acceleration techniques. Furthermore, the use of Boolean closed domains does not improve the precision of our algorithm. The algorithm is illustrated by proving properties of programs with nested loops.
Year
DOI
Venue
2007
10.1007/978-3-540-74061-2_21
static analysis symposium
Keywords
DocType
Volume
automatic refinement technique,abstract domain,automatic refinement,nested loop,so-called acceleration technique,state space,abstract fixpoint checking algorithm,fixpoint-guided abstraction refinement,abstract refinement algorithm
Conference
4634
ISSN
ISBN
Citations 
0302-9743
3-540-74060-0
26
PageRank 
References 
Authors
0.92
16
3
Name
Order
Citations
PageRank
Patrick Cousot17721574.52
Pierre Ganty224220.29
Jean-François Raskin31735100.15