Jansana, RamonMastrokostas, Zafeiris2020-02-202020-02-202020-02https://hdl.handle.net/2445/150877Treballs Finals del Màster de Lògica Pura i Aplicada, Facultat de Filosofia, Universitat de Barcelona, Curs: 2018-2019, Tutor: Ramon JansanaIn this thesis we shall study admissible rules within the general framework of Abstract Algebraic Logic (AAL). Following Lorenzen, we say that a rule is admissible for a logic S whenever it does not add new theorems to S. Despite the seemingly natural definition, the determination of admissible rules in particular logics is usually a difficult problem and requires a deep understanding of the structural properties of the logic. Our purpose is not to study particular cases but instead, we intent to present algebraic conditions of the admissibility of a rule for a logic both in the general case and also depending on its classification in the Leibniz hierarchy. Particular cases will be presented as examples or counter-examples, whenever it is necessary.60 p.application/pdfengcc-by-nc-nd (c) Mastrokostas, 2019http://creativecommons.org/licenses/by-nc-nd/3.0/es/LògicaLògica algebraicaÀlgebra abstractaTreballs de fi de màsterLogicAlgebraic logicAbstract algebraMaster's thesesinfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccess