On the Complexity of Motion Planning for Multiple Independent Objects Pspace Ha

Cover On the Complexity of Motion Planning for Multiple Independent Objects Pspace Ha
On the Complexity of Motion Planning for Multiple Independent Objects Pspace Ha
J E Hopcroft
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Snoe the domino A must permit adjacendes of type j on its right, for each domino B of type j an indentation is created m A at the vertical location of B'l tab. Tbus eadi domino A of type I has one identifying tab in region i on its left and several indentations (corre spondin g to all possible symbols B of type J) in region j on its right. Qearly this forces the parity of adjacent nonspedal symbols to be 0, 1 or 1, 2 or 2, 0, but -14- allows any nompedal character of a given type can be adjacen...t to any other nonspedal character of the appropriate type.
Next we define the shape of spcdaJ dc>rcinoc3. Let Xy - XW be the j-th prodiiction. We will explain the geometry of a special domino M = M^^i for the case where X is of type and K and W are of type 1. M has a tab on its left side in region 1 at some location as yet unused. X has an indentation on its right at this level. Furthermore, X is the only symbol other than a bracket that has an indentation at this position. M has two indentations in region 1, one to accept a tab from a W of type 1, the other to accept a K of type 1.


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