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Probably Partially True: Satisfiability for Lukasiewicz Infinitely-Valued Probabilistic Logic and Related Topics

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Autor(es):
Finger, Marcelo ; Preto, Sandro
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: JOURNAL OF AUTOMATED REASONING; v. 64, n. 7, p. 18-pg., 2020-06-06.
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 investigate efficient representation of rational McNaughton functions in Lukasiewicz Infinitely-valued Logic modulo satisfiability. (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