Heap Abstraction Beyond Context-Freeness

Making Finite-State Methods Applicable to Languages Beyond Context-Freeness via Multi-dimensional Trees

We provide a new term-like representation for multi-dimensional trees as defined by Rogers [8,9] which establishes them as a direct generalization of classical trees. As a consequence these structures can be used as input for finite-state applications based on classical tree language theory. Via the correspondence between string and tree languages these applications can then be conceived to be ...

A Learning Algorithm for Multi-dimensional Trees, or: Learning Beyond Context-Freeness

Partially Disjunctive Heap Abstraction

One of the continuing challenges in abstract interpretation is the creation of abstractions that yield analyses that are both tractable and precise enough to prove interesting properties about real-world programs. One source of difficulty is the need to handle programs with different behaviors along different execution paths. Disjunctive (powerset) abstractions capture such distinctions in a na...

Componentized Heap Abstraction

In this paper we present a new heap abstraction that seeks to strike a balance between the use of non-local (transitive) properties to gain precision and exploiting heap-locality. The abstraction represents the heap as an (evolving) tree of heapcomponents, with only a single heap-component being accessible at any time. The representation is tailored to yield several benefits: (a) It localizes t...

Graph Grammar Abstraction for Complex Dynamic Data Structures

Abstract. We present a new abstraction method for heap structures that is based on hyperedge replacement grammars. We use labeled hypergraphs as abstract representation of heap structures. A given hypergraph replacement grammar induces a set of concrete heap structures from a hypergraph. Our technique allows to abstract and concretize the heap partially. Thus the heap parts of high entropy can ...