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Extending Prolog with Constraint Arithmetic on Real Intervals (1990)  (Make Corrections)  (40 citations)
William Older, André Vellino
Proc. of IEEE Canadian conference on Electrical and Computer Engineering



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Abstract: Prolog can be extended by a system of constraints on closed intervals to perform declarative relational arithmetic. Imposing constraints on an interval can narrow its range and propagate the narrowing to other intervals related to it by constraint equations or inequalities. Relational interval arithmetic can be used to contain floating point errors and, when combined with Prolog backtracking, to obtain numeric solutions to linear and non-linear rational constraint satisfaction problems over the ... (Update)

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31:   Interval Analysis (context) - Moore - 1966
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BibTeX entry:   (Update)

Older, W. and Vellino, A., Extending Prolog with constraint arithmetics on real intervals. In Proceedings of the Canadian Conference on Computer & Electrical Engineering, Ottawa, Canada, 1990. http://citeseer.ist.psu.edu/article/older90extending.html   More

@inproceedings{ older90extending,
    author = "W. J. Older and A. Velino",
    title = "Extending {P}rolog with Constraint Arithmetic on Real Intervals",
    booktitle = "Proc. of {IEEE} Canadian conference on Electrical and Computer Engineering",
    publisher = "IEEE Computer Society Press",
    address = "New York",
    year = "1990",
    url = "citeseer.ist.psu.edu/article/older90extending.html" }
Citations (may not include all citations):
384   Interval Analysis (context) - Moore - 1966
142   Constraint propagation with interval labels (context) - Davis - 1987
66   Methodology and Implementation of a CLP system (context) - Jaffar, Michaylov - 1987
53   Constraint Reasoning Based on Interval Arithmetic (context) - Hyvonen - 1989
36   Constraint Programming Languages their specification and gen.. (context) - Leler - 1988
36   Opening the Prolog-III Universe (context) - Colmerauer - 1987
21   Logical Arithmetic (context) - Cleary - 1987
2   Soving Large Combinatorial Problems in Logic Programming (context) - Dincbas, Simonis et al. - 1990
2   Optimization with Constraint Programming Systems (context) - Brown, Chinneck et al. - 1989
2   The role of Interval Methods in Scientific Computing (context) - Moore - 1988
1   Complete Logic Systems Inc (context) - Andrews - 1987



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Constraint Logic Programming on Boolean, Integer and Real.. - Benhamou, Older, Vellino (1994)   (Correct)
Constraint Arithmetic on Real Intervals - Older (1993)   (Correct)
Programming in CLP(BNR) - Older, Benhamou (1993)   (Correct)

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