Use set identities to prove the following equivalence: A (BA) = A
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A: I have given an answer in step 2.
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Q: 1. Draw e-NFA using Thompson Construction from regex below : (100|11)* 1 0* а. b. a*b (ab|baa)?
A: Actually, NFA stands for non-deterministic finite automata. It is a easy construct than DFA.
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- Prove the following statement first using proof by contrapositive then proof by contra-diction: For any two integers a,b if a ∗ b ≥ 20 then a ≥ 5 or b ≥ 5.HELLP The statement is false is equivalent to its negation is true by giving an example . The negation is: ∃x in D such that P(x) ∧ ~Q(x) The above would be used via: proof by counterexample proof by exhaustion proof by manipulation proof by inductionp.658, icon at Example 20 #1. Referring to this Hasse diagram of a partially ordered set, find the following: (a) all upper bounds of {d, e}. (b) the least upper bound of {d, e}. (c) all lower bounds of {a, e, g}. (d) the greatest lower bound of {a, e, g}. (e) greatest lower bound of {b, c, f}. (f) least upper bound of {h, i, j}. (g) greatest lower bound of {g, h}. (h) least upper bound of {f,i}. b h a f d 6.0 g j
- a)Write a recursive definition for the set of odd positive integers. b)Use master theorem to find the solution to the recurrence relation f(n) = 4f(n/2) + 2? ! ,when n = 2" , where k is a positive integer and f(1) = 1.Refer to image: (Computation and Automata) Provide new and correct solution for positive feedback!Members of Set A = {Monday, Tuesday, Wednesday, Friday, Saturday, Sunday} What is the cardinality of St A ?
- 14. Let R₁ and R₂ be relations on a set A represented by the matrices MRI 0 1 = 1 Find the matrices a) R₁ U R₂. d) R₁⁰ R₁. 0 1 1 00 and MR₂ that represent b) R₁ R₂. e) R₁ R₂. = 0 i 0 0 1 1 1 1 1 c) R₂0 R₁.Find the following power sets:1. Find 2S for S = {a}.2. Find 2S for S = {∅}Construct a DFA based on the following
- Discrete Mathematics Simplify each of the following expressions. Do not use the set difference operator in your simplifications. Note that the set U in the second item is the universal set, which includes all elements. Shade the indicated regions of the following Venn diagrams. please see attached photo for more details(1). If L₁ is not in D and L₂ is regular, then it is possible that L₁ L₂ is regular. True FalseTake the following permutation o of {1,2,3,4,5} defined below and use it to encode the phrase that follows. σ(1) = 5 σ (2) = 3 σ(3) = 4 σ (4) = 1 σ (5) = 2 ⠀ "WOODRUFF BEST DORM"