Caleiro, CarlosMarcelino, SérgioRivieccio, Umberto2024-12-022024-12-022018-08-15Carlos Caleiro, Sérgio Marcelino, Umberto Rivieccio,, Characterizing finite-valuedness. Fuzzy Sets and Systems, 345 (2018), pp. 113-125; https://doi.org/10.1016/j.fss.2017.10.0140165-0114; e-ISSN: 1872-6801https://doi.org/10.1016/j.fss.2017.10.014https://hdl.handle.net/20.500.14468/24638Este es el manuscrito aceptado del artículo. La versión registrada fue publicada por primera vez en Fuzzy Sets and Systems, 345 (2018), pp. 113-125; está disponible en línea en el sitio web del editor: https://doi.org/10.1016/j.fss.2017.10.014 This is the accepted manuscript of the article. The registered version was first published in Fuzzy Sets and Systems, 345 (2018), pp. 113-125; It is available online at the publisher's website: https://doi.org/10.1016/j.fss.2017.10.014We introduce properties of consequence relations that provide abstract counterparts of different notions of finite-valuedness in logic. In particular, we obtain characterizations of logics that are determined (i) by a single finite matrix, (ii) by a finite set of finite matrices, and (iii) by a set of n-generated matrices for some natural number n. A crucial role is played in our proofs by two closely related notions, local tabularity and local finiteness.eninfo:eu-repo/semantics/openAccess11 Lógicaartículological matrix semanticsmany-valuednessfinite-valuednessstrong finitenesslocal tabularitylocal finitenesscancellationfinite- determinedness