Probabilistic logic with independence

Fabio Gagliardi Cozman; Cassio Polpo de Campos; Jose Carlos Ferreira da Rocha

doi:10.1016/j.ijar.2007.08.002

Probabilistic logic with independence

Fabio Gagliardi Cozman, Cassio Polpo de Campos, Jose Carlos Ferreira da Rocha

Decision Support Systems

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

This paper investigates probabilistic logics endowed with independence relations. We review propositional probabilistic languages without and with independence. We then consider graph-theoretic representations for propositional probabilistic logic with independence; complexity is analyzed, algorithms are derived, and examples are discussed. Finally, we examine a restricted first-order probabilistic logic that generalizes relational Bayesian networks.

Original language	English
Pages (from-to)	3-17
Number of pages	15
Journal	International Journal of Approximate Reasoning
Volume	49
Issue number	1
DOIs	https://doi.org/10.1016/j.ijar.2007.08.002
Publication status	Published - Sept 2008

Keywords

Linear and multilinear programming

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10.1016/j.ijar.2007.08.002

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title = "Probabilistic logic with independence",

abstract = "This paper investigates probabilistic logics endowed with independence relations. We review propositional probabilistic languages without and with independence. We then consider graph-theoretic representations for propositional probabilistic logic with independence; complexity is analyzed, algorithms are derived, and examples are discussed. Finally, we examine a restricted first-order probabilistic logic that generalizes relational Bayesian networks.",

keywords = "Linear and multilinear programming",

author = "Cozman, {Fabio Gagliardi} and {de Campos}, {Cassio Polpo} and {da Rocha}, {Jose Carlos Ferreira}",

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AU - da Rocha, Jose Carlos Ferreira

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AB - This paper investigates probabilistic logics endowed with independence relations. We review propositional probabilistic languages without and with independence. We then consider graph-theoretic representations for propositional probabilistic logic with independence; complexity is analyzed, algorithms are derived, and examples are discussed. Finally, we examine a restricted first-order probabilistic logic that generalizes relational Bayesian networks.

KW - Linear and multilinear programming

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DO - 10.1016/j.ijar.2007.08.002

M3 - Article

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VL - 49

SP - 3

EP - 17

JO - International Journal of Approximate Reasoning

JF - International Journal of Approximate Reasoning

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ER -

Probabilistic logic with independence

Abstract

Keywords

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