(1) If L₁ and L2 are context free, then it is possible that L₁ L₂ is not context free. True O False
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- (2) If ¬L is context free, then L must also be context free. True FalseQuestion 7 Which of the following statements are TRUE? (Check all that apply) There are exactly two distinct semantics models for formal parameters: in and inout There are two conceptual models of how data transfers take place in parameter transmission: Either an actual value is copied (to the caller, to the called, or both ways) or an access path is transmitted. Some languages such as Python allow subprograms to return more than one value. Contemporary software-engineering principles dictate that access by subprogram code to data outside the subprogram should be maximized In most contemporary languages, parameter communication takes place through the heap7. Construct a DFA accepting the language: {W€{a, b}*: W has neither aa nor bb as a substring}
- Please work on these problems individually, and do not discuss them, verbally or otherwise, with anyone else. You may email me with any questions you have. You may also consult textbooks, but you must acknowledge and reference any material you use to solve these problems. You are not allowed to search for solutions on the Web and you may not post these problems on any Web forum asking for answers. Problem 1. Consider the language D = {:A is a DFA such that w e L(A) =ww e L(A)}. For example, if L(A,) = 0* then A, E D, but if L(A2) is the set of all binary strings without two consecutive 1's then A2 ¢ D because 101 e L(A2) and 101101 ¢ L(A2). Describe a high-level algorithm to decide D and give an intuitive argument with enough detail showing that your algorithm is correct. Hint: Construct a DFA that runs its input in parallel on multiple copies of A, but starting in different states.Q5 of 6 Pumping Lemma for Context-Free languages Show that the following languages are not context-free: (Choose two of the following (You should only solve two of the following questions)) (5-a) L= {a"b'a"b' |n>0, j>0}. (5-b) L= {a"´ b" |n20}.1. Simplify the statements so that no negation is outside a quantifier or an expression involving logical connectives. Onge ?(y)ith, CamScanner
- 1. Give the unifyiing substitition for (x,y,z are variables): f(a) f(b) 2. Give the unifyiing substitition for (x,y,z are variables): g(x,x) g(f(a),f(y)) 3. Give the unifyiing substitition for (x,y,z are variables): g(x,x) g(f(a0,f(b))Explain the use manipulator setw.5. Construct an npda to accept the language: L = {a3nb2n: n³ 0}