Prove that {V, ^, +} is not an adequate set of connectives.

Q: Show that L={apower |p is prime } is not a context free ?

A: Given:- L = { ap | p is prime }  To Prove:- L is not a context free.

Q: Implement a complete class in c ++ code that represents a priority queue. The priority queue must…

A: #include <iostream>#include <queue>using namespace std;   void displaypq(priority_queue…

Q: Define a function compress : lists(T) → lists(T) that accepts a list argument (of some generic type…

A: Please refer to the following for the algortihm of the code =>Start with an input list lst.Check…

Q: Prove or disprove that the language generated by the expression (OUE) 1*0+ is regular. Let 4= {a^…

A:

Q: Interpret this in plain english Φ = (a ⇒ b) ^ (c ⇒ b’) ^ (a’⊕ c)

A: Given statement is  Φ = (a ⇒ b) ^ (c ⇒ b’) ^ (a’⊕ c)  Here is the variables a,b,c

Q: Is the following set of connectives functionally complete? Explain. {→,⊥}

A: Symbol Given : {→,⊥}

Q: Find and prove relations between the suffix trees of S ∈ Σ^* and S^R

A: Find and prove relations between the suffix trees of S ∈ Σ^* and S^R: A suffix tree is a patricia…

Q: L={x∈{a,b}*| no prefix of x has more b’s than a’s} Prove L is non regular using the pumping lemma

A: The pumping lemma is often used to prove that a particular language is non-regular.

Q: Prove or disprove whether the language P = {w^i | i ∈ N, w ∈ {a, b} ∗} is regular .

A: DFA

Q: (A v B) ^ ~(~A ^ B) → A

A: (A ∨ B)^ ~(~A ^ B)

Q: 1. Is the following set of connectives functionally complete? Explain. {→, 1}

A: Given: The truth function are {0,1} {→,⊥}

Q: Q5 Implement and simplify f (A, B, C, D) = E(1,4,5,6,12,14,15) using K-map? %3D

A: Step 1:- Given:-

Q: Take the polymorphic type for example: (c, h) -> (c -> h) -> (h, h) Make a list of all conceivable…

A: Answer has been explained below:-

Q: Define and/or explain the difference between a Function Theoretic Operation and Set Theoretic…

A: Set Theory Set theory is the branch of mathematics that deals with the formal properties and…

Q: Describe a nonrecursive function in C++ for finding, by link hopping, the middle node of a double…

A: NOTE: Comments mentioned in code for understandability Code: #include <chrono> #include…

Q: (I) Given the description of L1 and L2 as regular in the form of acceptors M1 and M2. Show that the…

A: When provided with two machines, M1 and M2, we can construct a new machine, denoted as M, for the…

Q: Given the definition in Haskell: fmap :: (a -> b) -> [a] -> [b] fmap g xs = reverse (map g xs)…

A: Answer:)

Q: how to implement this function using c++ ( void dijkstra

A: Here I provide the code about the dijkstra algorithm. Code:- // A C++ program for Dijkstra's single…

Q: Consider the following predicates. F(p): Printer p is out of service. B(p): Printer p is busy. L(j):…

A: a. ∃p (F(p) / B(p)) → ∃j L(j)   b. ∀p B(p) → ∃j Q(j)   c. ∃j (Q(j) / L(j)) → ∃p F(p)   d. ∀p B(p) /…

Q: Write a Java program that: • Defines a linked list data structure to represent a collection of…

A: Add method:- Create a new node with the given data.- If the list is empty, set the new node as the…

Q: Use the pumping lemma to prove that the language L over {a,b,c}", given by L = {wcv: |wa = |vl6} is…

A: First lets see Pumping lemma for regular languages: If a language L is regular, then there exist an…

Q: serializability

A: Version-vector Scheme A version vector is a method for monitoring data changes in a distributed…

Q: Exercises Let I = {a,b}. Let A = {w•w*lw e I*}. Prove that A Sm A. D A is the language of…

A: Answer: I have given answer in the handwritten format

Q: Consider an ADT for the data structure of positive integers called POSITIVE_INTEGER defined over a…

A: Given: Consider an ADT for the data structure of positive integers called POSITIVE INTEGER defined…

Q: Write down a Generic and Non-Generic solution where our intention is to initialize integer, double…

A: I give the code, screenshot, drawbacks as per your requirement

Q: Convert the following EBNF to BNF: -> { } -> x ( + | * | / ) x -> y { y } -> [ z ] w…

A: EBNF: EBNF stands for Extended Backus–Naur Form. It is used to express context-free grammar.   In…

Q: Use a closure operation to reduce the language L of all even-lengthed strings of as and bs where…

A:

Q: by using Pumping Lemma prove that the following language is non-regular: L = { a^n b^k : 0 < k < n }

A: Pumping Lemma: In this pumping lemma if the string is pumped then the value is inserted any number…

Q: 6.Implement and simplify f (A, B, C, D) = Σ(1,3,5,8,9,11,13,15) using K-map?

A: Given, A, B, C, D are the inputs, and f (A, B, C, D) is the output. Truth Table: A B C D f (A, B,…

Q: Find all candidate keys 2)Find a canonical cover of the FDs

A: Refer to step 2 for the answer.

Q: Minimize using K- map the logical function F(x;Y,z) = SOP C1, 3,5,7) ?

A: Given : Minterms = 1,3,5,7

Q: consider the language L = {a^f b^g|f<g} on albhabet E = {a,b}. Show that L is not reguar. %3D

A: The answer is

Q: Using the functional dependencies of Exercise 7.6, compute the canonicalcover Fc.

A: Using the functional dependencies of Exercise 7.6, compute the canonicalcover Fc. Hence I have found…

Q: NoSQL's version of the CAP theorem. Exactly what characteristics of C and A prevent them from…

A: NoSQL's version of the CAP theorem. Exactly what characteristics of C and A prevent them from…