3 papers
cs.SC2026
Further results on Minimal and Minimum Cylindrical Algebraic Decompositions
Lucas Michel, Pierre Mathonet, Naïm Zénaïdi
We consider cylindrical algebraic decompositions (CADs) as a tool for representing semi-algebraic subsets of . In this framework, a CAD is adapted to a…
cs.SC2025
Projective Delineability for Single Cell Construction
Jasper Nalbach, Lucas Michel, Erika Ãbrahám +5
The cylindrical algebraic decomposition (CAD) is the only complete method used in practice for solving problems like quantifier elimination or SMT solving related to real algebra,…
math.AG2024
On Projective Delineability
Lucas Michel, Jasper Nalbach, Pierre Mathonet +5
We consider cylindrical algebraic decomposition (CAD) and the key concept of delineability which underpins CAD theory. We introduce the novel concept of projective delineability wh…