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On Completeness of a Positional Interval Logic with Equality, Overlap and Subinterval Relations (1995)  (Make Corrections)  (1 citation)
RENWEI LI, Centre for Artificial Intelligence, UNINOVA, and Department of...
Journal of the IGPL



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Abstract: This paper presents an interval-based positional logic and proves its completeness. The proposed logic combines positional operators, defined by time intervals, with modal operators used to express the subinterval relationship. Moreover, the logic can be easily extended either by including more predicates for absolute temporal references or by adding other operators for relative and periodical temporal references. The positional logic can be used to express and reason about time-stamped... (Update)

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.... of the intentions S at T for all time points T between T 1 and T 2 , and roughly corresponds to the positional formula [ T 1 ; T 2 ) S of [9]. The intention S eventually from T 1 to T 2 can be viewed as a disjunction of the intentions S at T for all time points T between T 1...

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BibTeX entry:   (Update)

Li, R. and Carmo, J., On completeness of a positional interval logic with equality, overlap and subinterval relations, Journal of the IGPL, 3:5, 1995, 765-790 http://citeseer.ist.psu.edu/214258.html   More

@article{ li95completeness,
    author = "R. Li and J. Carmo",
    title = "On completeness of a positional interval logic with equality, 
 overlap and subinterval relations",
    journal = "Journal of the IGPL",
    volume = "3",
    pages = "765--790",
    year = "1995",
    url = "citeseer.ist.psu.edu/214258.html" }
Citations (may not include all citations):
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343   Modal Logic: An Introduction (context) - Chellas - 1980
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4   Department of Mathematics and Computer Science (context) - Venema, Logic et al. - 1992
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1   Maintaining Temporal Information: An Axiomatic Approach (context) - Li - 1993
1   On Completeness of a Positional Interval Logic (context) - Gabbay, past et al. - 1989
1   Benjamin Cummings Publishing Co (context) - Tansel, Temporal et al. - 1993
1   Historical Databases: A Positional Logic Perspective (context) - Li, Carmo et al. - 1993
1   An interval-based modal logic for system specification (context) - Li, Carmo - 1992

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