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In fact, a wide-scope "reason to A or to B" as stated in English is not naturally interpreted as equivalent to a disjunctive reason (to A V to B)--where the connective is "V" (read as vel), the logical disjunction operator.
For example, by considering as variables of interest VI = {x, y}, we have that the logical disjunction (x [right arrow] y) v (y [right arrow] x) in Pos does not represent the concrete disjunction of the two formulae x [right arrow] y and y [right arrow] x, that is, the union of their concretizations.
These planners do not have the representational expressivity to capture geometric operations, nor are they well suited to computing large intersections (millions of logical conjunctions) and unions (millions of logical disjunctions).