codi_atomic_2d_restricted.clif

/*******************************************************************************
 * Copyright (c) University of Toronto and others. All rights reserved. 
 * The content of this file is licensed under the Creative Commons Attribution-
 * ShareAlike 4.0 Unported license. The legal text of this license can be
 * found at http://creativecommons.org/licenses/by-sa/4.0/legalcode.
 *
 * Contributors:
 *    Torsten Hahmann - initial implementation
 *******************************************************************************/

(cl-text http://colore.oor.net/multidim_space_codi/codi_atomic_2d.clif

(cl-imports http://colore.oor.net/multidim_space_codi/codi_atomic_2d.clif)

(cl-comment 'all point regions are points (i.e. no sets of isolated points are entities themselves)')

(forall (x)
    (if
        (PointRegion x)
        (Point x)
    )
)

(cl-comment 'every 1D spatial region contains some point')

(forall (x)
    (if
        (Curve x)
        (exists (y)
            (and
                (PointRegion y)
                (Cont y x)
            )
        )
    )
)


(cl-comment 'every 2D spatial region contains some point')

(forall (x)
    (if
        (ArealRegion x)
        (exists (y)
            (and
                (PointRegion y)
                (Cont y x)
            )
        )
    )
)


(cl-comment 'every 2D spatial region is in some proper parthood relation')

(forall (x)
    (if
        (ArealRegion x)
        (exists (y)
            (and
               (EqDim x y)
                (or
                    (Cont x y)
                    (Cont y x)
                )
            )
        )
    )
)

 


)