Intervalech

Intervalech is a fictional programming language and software framework designed to explore interval arithmetic and uncertainty-aware computation. It provides native support for interval-valued data, where variables denote a range [lower, upper], rather than a single value.

Core concepts include an interval type, arithmetic operators that propagate bounds, and an interval constraint system that can narrow ranges given partial information. The runtime enforces interval safety by detecting operations that could violate bounds and by guarding against silent rounding errors. Intervalech aims to support robust numerical analysis in fields where measurements and model parameters are uncertain, such as engineering, physics, and economics.

In practice, Intervalech offers language-integrated abstractions, bindings to mainstream languages, and tools for interval-based testing and verification. It is used in education to illustrate uncertainty propagation and in prototype projects where risk bounds are essential.

History and reception: As a concept, Intervalech has appeared in scholarly discussions as an example of interval-enabled programming languages. Real-world adoption remains limited, with primary use in academia and research. Performance overhead and a relatively small tooling ecosystem are cited as common constraints.

See also: interval arithmetic, uncertainty quantification, robust control, numerical analysis.