Probabilistic logic with independence

  • Authors:
  • Fabio Gagliardi Cozman;Cassio Polpo de Campos;José Carlos Ferreira da Rocha

  • Affiliations:
  • Escola Politécnica, Universidade de São Paulo, São Paulo, SP, Brazil;Escola de Artes, Ciências e Humanidades, USP Leste, Universidade de São Paulo, São Paulo, SP, Brazil;Universidade Estadual de Ponta Grossa, Ponta Grossa, PR, Brazil

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2008

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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.