Can PICT (=Pairwise Independent Combinatorial Testing) handle/model independent parameters.
For example in following input a and b are independent, so they should not be combined.

Input in PICT:  

a: 1, 2, 3, 4  

b: 5, 6, 7, 8

//some line which models the independence: a independent of b

Output, that I would expect:  

a b  

1 5  

2 6  

3 7  

4 8 

This example, with only 2 parameters, of course normally would not make much sense, but it's illustrative.
The same could be applied to 3 parameters (a,b,c), where a is independent of b, but not c.
The main goal of declaring parameters as independent would be the reduce the number of tests.
I read the paper/user guide to PICT, but I didn't found any useful information.