ive examples of sentences in natural language (English), about everyday topics, hich have the forms: a) (PVQ) ⇒ R', b) P↔ (Q ^ S'). each case, (i) first state the sentence in natural language, ii) and then define all sentences involved (e.g. P, Q, R, S).

Q: Determine which of the following statements are true, and which are false. Explain! (a) {a} ⊆ {a, b,…

A: Given that: (a)  a⊆{a, b, c}(b)  {a}⊆{{a,b},c}(c){a}⊆P{{a}, b, c}

Q: d) [6 cis (57/6)]³ 7 cis (5л/12) e) 14 cis (т/4)

A:

Q: Consider the given statement. If Laura is not practicing soccer, then Miguel is not reading. For…

A: Given statement isIf Laura is not practicing soccer, then Miguel is not reading.Let p : Laura is not…

Q: * 7) Consider a language which uses the following set of characters: Prefix set: { a ei} Small set:…

A: The given language are, Prefix Set: {a e i} Small Set: {b c d} Large Set: {B C D} Punctuation Set:…

Q: Please answer :)

A:

Q: Please do diagram for (v) and (vi) and explain (i)

A:

Q: ((,ô^‚d) v (o^a)) = ((d←Ô) v (Ô←d))

A:

Q: i. ii. iii. Determine whether the formulae below are tautologies (A → ((¬B) V C)) → ((¬A) → B) (A →…

A: The truth table is defined as a tabular representation of the expression of all the combinations of…

Q: Let p, q, and r be the following propositions: p="it is raining," q= "the sun is shining." r =…

A: According to guidelines, i solve first question only p = " it is raining" q  = "the sun is shining"…

Q: Which is the main connective of the following sentence: -(FG)→ H A. - B.. C. → D. O

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: * 7) Consider a language which uses the following set of characters: Prefix set: { a ei} Small set:…

A: Given - Consider a language which uses the following set of characters:Prefix set: { a e i }Small…

Q: Write a logically equivalent statement for C,D and E

A: We use logical equivalences.