# name
Epimorphism Surjectivity in Logic and Algebra

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Treballs Finals del Màster de Lògica Pura i Aplicada, Facultat de Filosofia, Universitat de Barcelona. Curs: 2023-2024. Tutor: Luca Carai and Tommaso Moraschini

# metadata.dc.description.abstract[].value
As the theorems we aim to prove require a variety of tools and background theory,
we will start by recalling some basics of first-order logic (Section 2.1), model theory
(Section 2.2), and universal algebra (Section 2.3). We will then continue presenting
the protagonist of this thesis, the epimorphism surjectivity property, and making
some easy but useful observations concerning this property (Section 2.4). Finally, we
will establish a correspondence between the (weak) ES property in algebra and the
(finite) Beth definability property in logic, providing motivation for the study of the
ES property from a logical standpoint (Section 2.5)

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Màster Oficial - Pure and Applied Logic / Lògica Pura i aplicada

# metadata.dc.title[].value
Epimorphism Surjectivity in Logic and Algebra