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[20 points] As an example of a PDA look at the one below that accepts the following language (Z is the stack start symbol): {a”br | n >0} U{a}. a, 1; 11 b, 1; a, Z; 12 b, 1 ; 90 q1 q2 1,2; a, Z;À Z: 93 We want to show that the language L below is a CFL by designing the PDA P, defined as P= {{90, 91, 92}, {0, 1}, {x, Z},0,40, 2, {92}}, that accepts it:...
Here are the transitions of a deterministic pushdown automaton. The start state is 90, and f is the accepting state. b E State-Symbol 90-Zo (91AAZO) (92,BZO) (8,8) 91-A (91,AAA) (91) 91-20 (90-20) 42-B (93.5) (92,BB) 92-20 (90,20) 93-B (926) 93-20 (91,AZO) Identify below the one input string that the PDA accepts. babba bababb abba babb
There is a system of the electric charges q1, 92, 93, 94, and qs (Figure). Find to three significant figures the net force exerted by the electric charges q2, 93, 94, and qs on a charge qı. 93 94 95 91 10°C cm 10°C 10*C 10°C 10°C ajo 2110 +1 +2 -5 - - 2
QUESTION 5 As per the figure below, 91=92 =-93= +50 nC, all three particles are held at fixed positions with 91 held at position (0, d), 92 at (0,-d) and q3 at (d,0), where d = 2 cm. Calculate the magnitude of the net electric force on 91 due to 92 & 93. Express your answer in Newtons. 1 d d Х 3 d 2
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Consider the pushdown automaton with the following transition rules: 1.8(0,0,20) = {(q,XZ0)} 2. 8(9,0,X) = {(q,XX)} 3. 8(q,1,X) = {(q,x)} 4. 8(q,£,X) = {(p,ɛ)} 5. 8(p,£,X) = {(p,ɛ)} 6.8(p,1,X) = {(p,XX)} 7. 8(p,1,20) = {(p,ɛ)} From the ID (p,1101,XXZ0), which of the following ID's can NOT be reached? (p,101,XZO) (p,101,XXXZO) (2,01,XXXXXZO) O (p,01,8) Here are the transitions of a deterministic pushdown automaton. The start state is qo, and f...
1. (1 point) Which of the following is true? A. Every regular language is a context-free language. B. Every context-free language is a regular language. C. If a language is context-free, then there exists a pushdown automata to recognize it. D. The set of context free languages is strictly larger than the set of regular languages. E. Each of A,C, and D is true. 2. (1 point) The following diagram shows a context free grammar with start variable S and...
1. (1 point) Which of the following is true? A. Every regular language is a context-free language. B. Every context-free language is a regular language. C. If a language is context-free, then there exists a pushdown automata to recognize it. D. The set of context free languages is strictly larger than the set of regular languages. E. Each of A,C, and D is true. 2. (1 point) The following diagram shows a context free grammar with start variable S and...
QUESTION 3 Here is a nondeterministic finite automaton with epsilon-transitions. 1 1 Start €,0 0 € 90 91 92 93 95 94 Which of the following strings is NOT accepted? 10101 01110 01111 11110 The following nondeterministic finite automaton: 1 0 А B 0 1 accepts which of the following strings? 1001011 0111011 0101010 1010101
7. (Exercise 8.5.1) Simulating a Turing machine. Here is a description of a Turing machine. The input alphabet is {a, b}. The state set is: {90, 91, 92, 93, 94, qacc, Cre; } The transition function is given in the table below: 90 9 42 93 94 a (qı, a, R) (qı, a, R) (q2, a, R) (qace, a, R) (qej, a, R) b (q2, b, R) (qı, b, R) (qı, b, R) (qrej, b, R) (qace, b, R) **...
DQuestion 1 2 pts 91 OA 93 12 Let q2"q3-1.0× 10-6 C, q1"q4"-1.0× 10-6 C, and a-0.1 m. What is the magnitude of the force acting on q4? O 2.70 0-540 O 5.40 o 0.00