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Volumn 33, Issue 1, 2001, Pages 69-91

Easy cases of probabilistic satisfiability

Author keywords

Balanced matrices; Cnf formulas; Directed hypergraphs; Partial k trees; Probabilistic satisfiability

Indexed keywords


EID: 0035604555     PISSN: 10122443     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1012332915908     Document Type: Article
Times cited : (27)

References (28)
  • 1
    • 34249772834 scopus 로고
    • Characterizing consistency in probabilistic logic for a class of Horn clauses
    • K.A. Andersen, Characterizing consistency in probabilistic logic for a class of Horn clauses, Mathematical Programming 66 (1994) 257-271.
    • (1994) Mathematical Programming , vol.66 , pp. 257-271
    • Andersen, K.A.1
  • 2
    • 0032143807 scopus 로고    scopus 로고
    • On consistency in probabilistic logic for logical formulas represented by B-hypertrees
    • K.A. Andersen, On consistency in probabilistic logic for logical formulas represented by B-hypertrees, European Journal of Operational Research 108 (1998) 696-709.
    • (1998) European Journal of Operational Research , vol.108 , pp. 696-709
    • Andersen, K.A.1
  • 4
    • 21444441532 scopus 로고    scopus 로고
    • Determining lower and upper bounds on probabilities of atomic propositions in sets of logical formulas represented by digraphs
    • K.A. Andersen and J.N. Hooker, Determining lower and upper bounds on probabilities of atomic propositions in sets of logical formulas represented by digraphs, Annals of Operations Research 65 (1996) 1-20.
    • (1996) Annals of Operations Research , vol.65 , pp. 1-20
    • Andersen, K.A.1    Hooker, J.N.2
  • 5
    • 0030784205 scopus 로고    scopus 로고
    • On-line algorithms for satisfiability formulae with uncertainty
    • G. Ausiello and R. Giaccio, On-line algorithms for satisfiability formulae with uncertainty, Theoretical Computer Science 171 (1997) 3-24.
    • (1997) Theoretical Computer Science , vol.171 , pp. 3-24
    • Ausiello, G.1    Giaccio, R.2
  • 6
    • 0002981945 scopus 로고    scopus 로고
    • A partial k-arboretum of graphs with bounded treewidth
    • H.L. Bodlaender, A partial k-arboretum of graphs with bounded treewidth, Theoretical Computer Science 209 (1998) 1-46.
    • (1998) Theoretical Computer Science , vol.209 , pp. 1-46
    • Bodlaender, H.L.1
  • 9
    • 38249018098 scopus 로고
    • The basic algorithm for pseudo-Boolean programming revisited
    • Y. Crama, P. Hansen and B. Jaumard, The basic algorithm for pseudo-Boolean programming revisited, Discrete Applied Mathematics 29 (1990) 171-185.
    • (1990) Discrete Applied Mathematics , vol.29 , pp. 171-185
    • Crama, Y.1    Hansen, P.2    Jaumard, B.3
  • 12
    • 0039993716 scopus 로고    scopus 로고
    • Max Horn SAT and the Minimum Cut problem in directed hypergraphs
    • G. Gallo, C. Gentile, D. Pretolani and G. Rago, Max Horn SAT and the Minimum Cut problem in directed hypergraphs, Mathematical Programming 80 (1998) 213-237.
    • (1998) Mathematical Programming , vol.80 , pp. 213-237
    • Gallo, G.1    Gentile, C.2    Pretolani, D.3    Rago, G.4
  • 15
    • 0042721544 scopus 로고
    • Mixed-integer column generation algorithms and the Probabilistic Maximum Satisfiability Problem
    • Montrèal
    • P. Hansen, B. Jaumard and M. Poggi de Aragão, Mixed-integer column generation algorithms and the Probabilistic Maximum Satisfiability Problem, GERAD Research Report 91-53, Montrèal (1991).
    • (1991) GERAD Research Report 91-53
    • Hansen, P.1    Jaumard, B.2    De Poggi Aragão, M.3
  • 16
    • 0008654460 scopus 로고
    • Boole's conditions of possible experience and reasoning under uncertainty
    • P. Hansen, B. Jaumard and M. Poggi de Aragão, Boole's conditions of possible experience and reasoning under uncertainty, Discrete Applied Mathematics 60 (1995) 181-193.
    • (1995) Discrete Applied Mathematics , vol.60 , pp. 181-193
    • Hansen, P.1    Jaumard, B.2    De Poggi Aragão, M.3
  • 17
    • 0011291081 scopus 로고
    • working paper 05-88-89, Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, PA
    • J. Hooker, A mathematical programming model for probabilistic logic, working paper 05-88-89, Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, PA (1988).
    • (1988) A Mathematical Programming Model for Probabilistic Logic
    • Hooker, J.1
  • 19
    • 0023403891 scopus 로고
    • On the complexity of the Maximum Satisfiability Problem for Horn formulas
    • B. Jaumard and B. Simeone, On the complexity of the Maximum Satisfiability Problem for Horn formulas, Information Processing Letters 26 (1987/88) 1-4.
    • (1987) Information Processing Letters , vol.26 , pp. 1-4
    • Jaumard, B.1    Simeone, B.2
  • 21
    • 21144482701 scopus 로고
    • Satisfiability of co-nested formulas
    • J. Kratochvíl and M. Křivánek, Satisfiability of co-nested formulas, Acta Informatica 30 (1993) 397-403.
    • (1993) Acta Informatica , vol.30 , pp. 397-403
    • Kratochvíl, J.1    Křivánek, M.2
  • 24
    • 0040852699 scopus 로고
    • Ph.D. thesis, TD-12/93, Dipartimento di Informatica, University of Pisa, Italy
    • D. Pretolani, Satisfiability and hypergraphs, Ph.D. thesis, TD-12/93, Dipartimento di Informatica, University of Pisa, Italy (1993).
    • (1993) Satisfiability and Hypergraphs
    • Pretolani, D.1
  • 25
    • 0042721536 scopus 로고
    • Ph.D. thesis, TD-4/94, Dipartimento di Informatica, University of Pisa, Italy
    • G. Rago, Optimization hypergraphs and logical inference, Ph.D. thesis, TD-4/94, Dipartimento di Informatica, University of Pisa, Italy (1993).
    • (1993) Optimization Hypergraphs and Logical Inference
    • Rago, G.1
  • 26
    • 0000811212 scopus 로고
    • Alpha-balanced graphs and matrices and GF(3)-representability of matroids
    • K. Truemper, Alpha-balanced graphs and matrices and GF(3)-representability of matroids, Journal of Combinatorial Theory B 32 (1982) 112-139.
    • (1982) Journal of Combinatorial Theory B , vol.32 , pp. 112-139
    • Truemper, K.1
  • 28
    • 0042721538 scopus 로고
    • Computing probability intervals under independence constraints
    • eds. P.P. Bonissone, L.N. Kanal and J.F. Lemmer
    • L.C. van der Gaag, Computing probability intervals under independence constraints, in: Uncertainty in Artificial Intelligence, Vol. 6, eds. P.P. Bonissone, L.N. Kanal and J.F. Lemmer (1991) pp. 457-466.
    • (1991) Uncertainty in Artificial Intelligence , vol.6 , pp. 457-466
    • Van Der Gaag, L.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.