RT Journal Article T1 Transforming numerical feature models into propositional formulas and the universal variability language A1 Muñoz-Guerra, Daniel Jesús A1 Pinto-Alarcón, Mónica A1 Fuentes-Fernández, Lidia A1 Batory, Don K1 Ingeniería del software AB Real-world Software Product Lines (SPLs) need Numerical Feature Models (NFMs) whose features have not only boolean values that satisfy boolean constraints but also have numeric attributes that satisfy arithmetic constraints. An essential operation on NFMs finds near-optimal performing products, which requires counting the number of SPL products. Typical constraint satisfaction solvers perform poorly on counting and sampling.Nemo (Numbers, features, models) is a tool that supports NFMs by bit-blasting, the technique that encodes arithmetic expressions as boolean clauses. The newest version, Nemo2, translates NFMs to propositional formulas and the Universal Variability Language (UVL). By doing so, products can be counted efficiently by #SAT and Binary Decision Tree solvers, enabling finding near-optimal products.This article evaluates Nemo2 with a large set of synthetic and colossal real-world NFMs, including complex arithmetic constraints and counting and sampling experiments. We empirically demonstrate the viability of Nemo2 when counting and sampling large and complex SPLs. PB Elsevier YR 2023 FD 2023 LK https://hdl.handle.net/10630/27069 UL https://hdl.handle.net/10630/27069 LA eng NO Daniel-Jesus Munoz, Mónica Pinto, Lidia Fuentes, Don Batory, Transforming Numerical Feature Models into Propositional Formulas and the Universal Variability Language, Journal of Systems and Software, Volume 204, 2023, 111770, ISSN 0164-1212, https://doi.org/10.1016/j.jss.2023.111770. NO Munoz, Pinto and Fuentes work is supported by the European Union’s H2020 research and innovation programme under grantagreement DAEMON 101017109, by the projects co-financed by FEDER, Spain funds LEIA UMA18-FEDERJA-15, IRIS PID2021-122812OB-I00 (MCI/AEI), and the PRE2019-087496 grant from the Ministerio de Ciencia e Innovación. Funding for open access charge: Universidad de Málaga / CBUA. DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 4 mar 2026