computable analysis 1coq formalization 1exact real computation 1fractal generation 1hyperspaces 1polish spaces 1
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cs.LO2026
Formalizing Hyperspaces and Operations on Subsets of Polish Spaces over Abstract Exact Real Numbers
Michal KoneÄný, Sewon Park, Holger Thies
The paper develops a Coq formalization for exact real computation on hyperspaces of subsets of Polish spaces, defining open, closed, compact, and overt sets and extracting certifie…
cs.LO2024
An Imperative Language for Verified Exact Real-Number Computation
Andrej Bauer, Sewon Park, Alex Simpson
We introduce Clerical, a programming language for exact real-number computation that combines first-order imperative-style programming with a limit operator for computation of real…