1. Good idea to avoid spurious ambiguity by introducing head-initial constraint on first daughter of head-modifier-rule-post. 2. Unfortunate failure to parse one of the given test items: Happily the dog barked. Reason this fails to parse is because the head-modifier-rule-pre requires its head-dtr to have non-empty SPR. Could fix this by removing this SPR constraint in the rule, and instead constraining the `adj' to require its MOD value to have a non-empty SPR (but not say this about `adv'). 3. It seems that the constraint in the head-specifier-rule-post, that the SPR of the head-daughter be non-empty, is redundant, because that daughter has to be head-initial.