Theoretical issues aside, one may experimentally apply or to calculate optimal pathways through chordal/regional space at just one level of analysis. The considerations of this subsection are useful in order to reduce the amount of calculation in such experiments. We show that the transition value maps and both contain a certain amount of redundancy which allows to reduce the number of loci to instead of . The following definitions introduce suitable notions for the formulation of such redundancies.
Definition 1Consider a transition value map. Twoharmonic lociandare called extensionally indistinguishable with respectto the transition value map, if. The are calledintensionally indistinguishable,
or 
to calculate optimal pathways through chordal/regional space 
at just one level of analysis. The considerations of this subsection are useful in order to reduce the amount of calculation in such experiments. We show that the transition value maps 
and 
both contain a certain amount of redundancy which allows to reduce the number of loci to 
instead of 
. The following definitions introduce suitable notions for the formulation of such redundancies. 
