Software engineering and development is well-known to suffer from unplanned overtime,
which causes stress and illness in engineers and can lead to poor quality software with …

We give a domain-theoretic semantics to a statistical programming language, using the plain
old category of dcpos, in contrast to some more sophisticated recent proposals. Remarkably …

Minlog is an interactive system which implements proof-theoretic methods and applies them
to verification and program extraction. We give an overview of Minlog and demonstrate how …

The objective of this paper is to provide a theoretical foundation for program extraction from
inductive and coinductive proofs geared to practical applications. The novelties consist in …

In the representation approach to computable analysis (TTE)[Grz55, KW85, Wei00], abstract
data like rational numbers, real numbers, compact sets or continuous real functions are …

We give a coinductive characterization of the set of continuous functions defined on a
compact real interval, and extract certified programs that construct and combine exact real …

Based on a new coinductive characterization of continuous functions we extract certified
programs for exact real number computation from constructive proofs. The extracted …

Numerical instability is a well-known problem that may cause serious runtime failures. This
paper discusses the reason of instability in software development process, and presents a …

We prove the correctness of a formalised realisability interpretation of extensions of first-
order theories by inductive and coinductive definitions in an untyped λ-calculus with fixed …

Exact representations of real numbers such as the signed digit representation or more
generally linear fractional representations or the infinite Gray code represent real numbers …