Hello Martin,

You have put in some tests into test/species.as.nw, but I somehow cannot 
believe that the entry for the cycle index entry is correct.

testBinaryForests
testBinaryTreesOfSets
testPartitionsViaCompose

If I am not completely wrong, the cycle index composition should work, 
but it fails on these tests with a bug.

I'll look at this bug this weekend. Could you meanwhile check the 
documentation of these tests. Your documentation doesn't quite help me. 
Could you please improve it an check it in? In particular the mention of 
the cycle index series looks incomplete to me.

Further, the function check uses a 4th parameter and I believe that it 
cannot be right for testBinaryForests and testBinaryTreesOfSets. What 
you have given basically says that the cycle index series of binary 
forests is a series in x_1. (Look at the local function bracket at the 
beginning of that file.)

If B is the species of trees and E the species of sets then F = E \circ 
B and so Z_F = Z_E \circ Z_B. Z_B is a series just in x_1, but according 
to BLL Definition 1.4.3 I would have expected that Z_F is a series in 
infinitely many variables.

Same for binary trees of sets.

Could you have a look at that and correct the test file.

Thank you

Ralf


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