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Construct unambiguous context-free grammars for each of the following languages. In each case show that your grammar is correct.

  1.  Arithmetic expressions in postfix notation.
  2. Left-associative lists of identifiers separated by commas.
  3. Right-associative lists of identifiers separated by commas.
  4. Arithmetic expressions of integers and identifiers with the four binary operators $+, -, *, /$. 
  5. Add unary plus and minus to the arithmetic operators of $(d)$. 


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