Program analysis concerns static techniques for computing reliable approximate information
about the dynamic behaviour of programs. Applications include compilers (for code …

This text is based on the chapter Domain Theory in the Handbook for Logic in Computer
Science, volume 3, edited by S. Abramsky, Dov M. Gabbay, and TS E. Maibaum, published …

We introduce abstract interpretation frameworks which are variations on the archetypal
framework using Galois connections between concrete and abstract semantics, widenings …

A theory of lazy λ-calculus is developed as a basis for lazy functional programming
languages. This is motivated by a mismatch between the" standard"(ie, sensible) theory of …

Programming is hard. Building a large program is like constructing a steam locomotive
through a hole the size of a postage stamp. An artefact that is the fruit of hundreds of person …

Completeness is an ideal, although uncommon, feature of abstract interpretations,
formalizing the intuition that, relatively to the properties encoded by the underlying abstract …

In order to contribute to the solution of the software reliability problem, tools have been
designed to analyze statically the run-time behavior of programs. Because the correctness …

Publisher Summary This chapter presents some basic issues in the type-theoretic study of
programming language concepts. It presents Church's typed lambda calculus as an …

Desirable mathematical background for this chapter includes o basic concepts such as
lattices, complete partial orders, homomorphisms, etc. o the elements of domain theory, eg …

The original formulation of abstract interpretation represents program properties by sets. A
property is understood as the set of semantic values satisfying it. Strongest program …