Select the following statements that are true. (bv d) ^ (bv d) = (b / d) v (bnd) (bv d) = (b + d)-0 Opq is the converse of q→ p O-(p^q) = (-p) ^ (q) Op → (qVp) is a tautology

Q: Proof using laws of logic I) (paq) → p is tautology II) -p+q p +-

A: I) (p ∧ q) → p = ¬(p ∧ q) ∨ p  [Expanding → ] = ¬p ∨ ¬p ∨ p [Expanding negation] = ¬p ∨ p   = True…

Q: laws of logic to show that ((s VrV¬r) ^ (SV¬rva) ^ (rv¬sva)) = q v¬s.

A: The commutative law deals with the order of operations or the sequence in which elements are…

Q: Write the ô function of the following (1) dfa (º DFA:QX2→Q) and (2) nf SNFA:Q×(EU{1})→P(Q) )…

A: DFA : DFA stands for deterministic finite automata. This machine (DFA) reads an input string one…

Q: 37. Construct a truth table for each of these compound sitions. a) p→ (-q Vr) b) ¬p → (q→ r) c) (p…

A: First lets understand how each operator works: ∧ : And operator: p∧q : is true when both p and q are…

Q: Identify the scope of each of the quantifiers in the following wffs and indicate any free variables.…

A: The formula known as a "Well-Formed Formula" (WFF) consists of variables (capital letters),…

Q: Simplify (wap)v-(-wvp) to w 1. Select a law from the right to apply (wap)v¬(-wvp)

A: Here have to determine about minimise Boolean expression.

Q: Construct a truth table to show if (¬p V g) + (¬p A q) is a tautology or a contradiction or neither.…

A: A pattern obtained by combining two or more statements using logical connectives is called statement…

Q: :Q×(EU{2})→ P(Q)) respectively, where E={a,b}. а, b a a,b a,b b a

A: 1)  Let the final state be called q2 and other remaining state be q1.  Therefore the transition…

Q: 1. Write the ô function of the following (1) dfa S NFA : Q×(EU{1})→P(Q) ) respectively, where…

A: Given : DFA and NFA The task is to convert these components into the state table function.

Q: Use algorithm TautologyTest to prove that the following expressions are tautologies. [ВЛ(4— B)] — b.…

A: Tautology means the expression which always true for all possible set of values.

Q: Which of following gives the correct canonical product of sums for X      A.      X = A' + B'…

A: Dear Student, As X has not been provided I am assuming it to be the case when we get 0 as output for…

Q: We have shown how to use truth tables to determine if two formulas are truth-functionally…

A: Tautology : a formula is tautology when it is true for all input combinations in the truth table…

Q: Construct a truth table to show if (p q) ^ (p r) and p (q Ar) are logiclly equivalent. p rp 9)^…

A: I'm providing the answer of above-mentioned question. I hope this will help.

Q: Describe in words the language of the following CFG, then give a CFG for its complement which you…

A: Solution:  In Formal Language, a CFL is a language generated by some CFG.The set of all CFL is…

Q: (Vx) (A → (B = C)) → ((Vx) (A → B) = (Vx) (A → C)) - a) Show that: b) Show that: (Vx) ((A v B) → C)…

A: Given: ∀x(A→(B≡C))→(∀x(A→B)≡∀x(A→C)) Prove: ∀x(A→B)≡∀x(A→C) Assume ∀x(A→B). Then, for any a,…

Q: Problem 5: Show that each of the following statements is a tautology by using truth tables. 1. (рлд)…

A: Proving Tautology using truth tables You can tell if a statement or argument is a tautology by…

Q: logiclly equivalent.

A: ANSWER: Logically Equivalent: The refutation of a restrictive assertion can be written as a…

Q: Complete the truth table and determine whether or not the following statement is a tautology, a…

A: Tautology & Contradiction : Tautology and contradiction are two types of logical statements. A…

Q: 4. Consider the formula A = Vx (p(x) →q(x)) → (Vxp(x) →Vaq(x)). (a) Show that A is valid. (b) Show…

A: Answer(A) :   To show that A is valid, we need to show that it is a tautology, i.e., that it…

Q: Find a countermodel for each of the following wffs: 3x p(x) → Vx p(x) Væ (p(x, f(x)) → p(x, y))

A: Counters are an uncommon instance of limited state machines since they move straightly through their…