CS150 HW5 Set May 23, Thursday Due June 7, Friday, at 5pm Total: 100 pts Q1 [10 pts] Convert the grammar S -> AaA | AbA A -> aS | bA | a to a PDA that accepts the same language by empty stack. Please show the PDA as a diagram instead of a set of transitions. Q2 [20 pts] P. 252 (or P. 246 in 2nd ed) Ex.6.3.4. Convert the PDA of Ex. 6.1.1 to ... Although the PDA of Ex. 6.1.1 is a final-state PDA, let's treat it as an empty-stack PDA for simplicity. Q3 [20 pts] P. 277 (or P. 271 in 2nd ed) Ex.7.1.3 Repeat Ex. 7.1.2 for the following ... Q4 [20 pts] P. 286 (or P. 280 in 2nd ed) Ex.7.2.1: b), c) Q5 [20 pts] P. 297 (or P. 292 in 2nd ed) Ex.7.3.2 Consider the following two languages: ... Q6 [10 pts] P. 308 (or P. 303 in 2nd ed) Ex.7.4.3: b), c)