The term 'PROBLEM FOR PETRUCHIO' is a reference to the character of Katherine, or the 'SHREW', in William Shakespeare's play The Taming of the SHREW. Katherine is the daughter of Petruchio, and her sharp tongue and stubbornness are a source of conflict between them. Petruchio attempts to 'TAME' her by using various methods of manipulation and coercion. This ultimately leads to a resolution in which Katherine agrees to be obedient to her husband.