Recurring To Dos
As posted on the Google Groups, moved here for voting. I would be willing to help with the use cases you mentioned on "what to do if..."
http://groups.google.com/group/simplegtd/browse_thread/thread/090ba48fe8e11c61/54fb29f1bc042924#54fb29f1bc042924
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Consequently it should allow you to set up an action that is added every Monday/first of the month/whatever, unless that task is already in the list.
If you, say, have a recurring task to remind you to pay off your local bobby every Saturday, but miss a payment, the action from last week should be enough to remind you this week too.