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Probably Half True: Probabilistic Satisfiability over Lukasiewicz Infinitely-Valued Logic

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Autor(es):
Finger, Marcelo ; Preto, Sandro ; Galmiche, D ; Schulz, S ; Sebastiani, R
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: AUTOMATED REASONING, IJCAR 2018; v. 10900, p. 17-pg., 2018-01-01.
Resumo

We study probabilistic-logic reasoning in a context that allows for " partial truths", focusing on computational and algorithmic properties of non-classical Lukasiewicz Infinitely-valued Probabilistic Logic. In particular, we study the satisfiability of joint probabilistic assignments, which we call LIPSAT. Although the search space is initially infinite, we provide linear algebraic methods that guarantee polynomial size witnesses, placing LIPSAT complexity in the NP-complete class. An exact satisfiability decision algorithm is presented which employs, as a subroutine, the decision problem for Lukasiewicz Infinitely-valued (non probabilistic) logic, that is also an NP-complete problem. We develop implementations of the algorithms described and discuss the empirical presence of a phase transition behavior for those implementations. (AU)

Processo FAPESP: 14/12236-1 - AnImaLS: Anotação de Imagem em Larga Escala: o que máquinas e especialistas podem aprender interagindo?
Beneficiário:Alexandre Xavier Falcão
Modalidade de apoio: Auxílio à Pesquisa - Temático
Processo FAPESP: 15/21880-4 - PROVERBS -- Sistemas Booleanos Probabilísticos Super-restritos: ferramentas de raciocínio e aplicações
Beneficiário:Marcelo Finger
Modalidade de apoio: Auxílio à Pesquisa - Regular