Let G be the following grammar: a. Show that L(G) = {w w contains equal numbers

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Let G be the following grammar:

S - TH Т— ТаТЪ | ТЪТа | € TbTa

a. Show that L(G) = {w ⊣ w contains equal numbers of a’s and b’s}. Use a proof by induction on the length of w.

b. Use the DK-test to show that G is a DCFG.

c. Describe a DPDA that recognizes L(G).

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Introduction to the theory of computation

ISBN: 978-0470530658

3rd edition

Authors: Michael Sipser

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Question Posted: Sep 02, 2020 04:33 AM

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Let G be the following grammar: a. Show that L(G) = {w w contains equal numbers

Question:

S - TH Т— ТаТЪ | ТЪТа | € TbTa

Step by Step Answer:

a Proof by induction on the length of w Base case If the length of w is 0 then w and is in LG because can be derived from the production T Inductive s...View the full answer

Introduction to the theory of computation

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