An abstract domain for trees with numeric relations - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2019

An abstract domain for trees with numeric relations

Résumé

We present an abstract domain able to infer invariants on programs manipulating trees. Trees considered in the article are defined over a finite alphabet and can contain unbounded numeric values at their leaves. Our domain can infer the possible shapes of the tree values of each variable and find numeric relations between: the values at the leaves as well as the size and depth of the tree values of different variables. The abstract domain is described as a product of (1) a symbolic domain based on a tree automata representation and (2) a numerical domain lifted, for the occasion, to describe numerical maps with potentially infinite and heterogeneous definition set. In addition to abstract set operations and widening we define concrete and abstract transformers on these environments. We present possible applications, such as the ability to describe memory zones, or track symbolic equalities between program variables. We implemented our domain in a static analysis platform and present preliminary results analyzing a tree-manipulating toy-language.
Fichier principal
Vignette du fichier
article.pdf (583.38 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02197107 , version 1 (30-07-2019)

Identifiants

Citer

Matthieu Journault, Antoine Miné, Abdelraouf Ouadjaout. An abstract domain for trees with numeric relations. ESOP 2019 - 28th European Symposium on Programming, Apr 2019, Prague, Czech Republic. pp.724-751, ⟨10.1007/978-3-030-17184-1_26⟩. ⟨hal-02197107⟩
84 Consultations
99 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More