def leftcorner_parents(self, cat):
"""
Return the set of all nonterminals for which the given category
is a left corner. This is the inverse of the leftcorner relation.
:param cat: the suggested leftcorner
:type cat: Nonterminal
:return: the set of all parents to the leftcorner
:rtype: set(Nonterminal)
"""
return self._leftcorner_parents.get(cat, set([cat]))
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