exactk
Exactk refers to a theoretical framework and set of software tools aimed at preserving numerical exactness in computations. The framework emphasizes exact representations for integers, rationals, and certain algebraic numbers, along with mechanisms to verify results and bound errors. It is designed to complement traditional floating-point methods by prioritizing correctness and traceability of outcomes.
Origin and development: The term emerged in the literature in the early 2020s as part of research
Key concepts: Exactk integrates exact representations with a verification layer that produces certificates for results, enabling
Architecture and components: The core includes an arithmetic engine, a representation layer for exact numbers, a
Applications: Used in computational geometry to avoid degeneracies, in computer algebra systems for exact simplification and
Reception and status: Exactk remains primarily a research-oriented concept with experimental implementations and active development. It