On fixed-points of multivalued functions on complete lattices and their application to generalized logic programs (Articolo in rivista)

Type
Label
  • On fixed-points of multivalued functions on complete lattices and their application to generalized logic programs (Articolo in rivista) (literal)
Anno
  • 2009-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1137/070695976 (literal)
Alternative label
  • Straccia U.; Ojeda-Aciego M.; Damasio C. V. (2009)
    On fixed-points of multivalued functions on complete lattices and their application to generalized logic programs
    in SIAM journal on computing (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Straccia U.; Ojeda-Aciego M.; Damasio C. V. (literal)
Pagina inizio
  • 1881 (literal)
Pagina fine
  • 1911 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://epubs.siam.org/sicomp/resource/1/smjcat/v38/i5/p1881_s1 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 38 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#note
  • In: Siam Journal on Computing, vol. 38 (5) pp. 1881 - 1911. SIAM - Society for Industrial and Applied Mathematics, 2009. (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 5 (literal)
Note
  • Scopu (literal)
  • Google Scholar (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • CNR-ISTI, Pisa, Departamento de Matematica Aplicada, Universidad de Malaga, Spain, Departamento de Informatica, Universidade Nova de Lisboa, Portugal (literal)
Titolo
  • On fixed-points of multivalued functions on complete lattices and their application to generalized logic programs (literal)
Abstract
  • Unlike monotone single-valued functions, multivalued mappings may have zero, one, or (possibly infinitely) many minimal fixed-points. The contribution of this work is twofold. First, we overview and investigate the existence and computation of minimal fixed-points of multivalued mappings, whose domain is a complete lattice and whose range is its power set. Second, we show how these results are applied to a general form of logic programs, where the truth space is a complete lattice. We show that a multivalued operator can be defined whose fixed-points are in one-to-one correspondence with the models of the logic program. (literal)
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