We design various logics for proving hyper properties of iterative programs by application of
abstract interpretation principles. In part I, we design a generic, structural, fixpoint abstract …

Abstract interpretation offers sound and decidable approximations for undecidable queries
related to program behavior. The effectiveness of an abstract domain primarily relies on the …

Robustness is a key and desirable property of any classifying system, in particular, to avoid
the ever-rising threat of adversarial attacks. Informally, a classification system is robust when …

Abstract interpretation offers sound and decidable approximations for undecidable queries
related to program behavior. The effectiveness of an abstract interpretation process relies …

This thesis aims to develop efficient, mathematically sound methods to improve software
reliability using abstract interpretation, a formal framework for approximating program …