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Show a rightmost derivation for aacab

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Reference no: EM131858791

Assignment

1.) Show each step of a leftmost derivation and parse tree for the following sentence. (Do not forget to include your parentheses in your derivation and parse tree).

A = A + (B + A) * C

2.) Consider the following grammar in which S, A, and B are nonterminal symbols and S is the start symbol.

S → 1A | 0B
A → A0| 1B
B → 10A| 1

Show that the grammar is ambiguous by showing two parse trees for the sentence 1110110 using leftmost derivation.

3) Consider the following grammar in which A, B, and S are nonterminal symbols, S is the starting symbol, a and b are terminal symbols.

S → A | SB
A → Aa | aa | Aab | aB | bb
B → aac | ac

a.) Show a rightmost derivation for aacab.
b.) Using the procedure explained on page 181 and transform the grammar into an equivalent non-left recursive grammar.
c.) Show a rightmost derivation for aacab, again, using the new rules created in step b.

4.) For the following grammar and the right sentential form T * (E + T * F) determine the handle. Demonstrate how you came up with your answer.

E → E + T | T
T → T * F | F
F → (E) | id

Verified Expert

This assignment is based on the basic concepts of the theoretical computer science. In theoretical computer science, this task has been from the topic Theory of Automata i.e. Formal and Non-formal grammar. In this task, we have to evaluate and draw the parse tree from the given automata equations. Also, we have to prove that the given expressions are the form of ambiguity.

Reference no: EM131858791

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