Graphoids and separoids in model theory

Córdoba-Sánchez, Irene and Bielza Lozoya, María Concepción and Larrañaga Múgica, Pedro (2016). Graphoids and separoids in model theory. Monografía (Technical Report). E.T.S. de Ingenieros Informáticos (UPM).

Description

Title: Graphoids and separoids in model theory
Author/s:
  • Córdoba-Sánchez, Irene
  • Bielza Lozoya, María Concepción
  • Larrañaga Múgica, Pedro
Item Type: Monograph (Technical Report)
Date: 2016
Subjects:
Freetext Keywords: Graphoid; Separoid; Conditional independence;Mathematical logic
Faculty: E.T.S. de Ingenieros Informáticos (UPM)
Department: Inteligencia Artificial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We treat graphoid and separoid structures within the mathematical framework of model theory, specially suited for representing and analysing axiomatic systems with multiple semantics. We represent the graphoid axiom set in model theory, and translate algebraic separoid structures to another axiom set over the same symbols as graphoids. This brings both structures to a common, sound theoretical ground where they can be fairly compared. Our contribution further serves as a bridge between the most recent developments in formal logic research, and the well-known graphoid applications in probabilistic graphical modelling.

More information

Item ID: 41330
DC Identifier: http://oa.upm.es/41330/
OAI Identifier: oai:oa.upm.es:41330
Deposited by: Biblioteca Facultad de Informatica
Deposited on: 14 Jun 2016 13:33
Last Modified: 14 Jun 2016 13:33
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