1. Formalise the following statements in predicate logic, making clear what your atomic predicate symbols stand for and what the domains of any variables are. ...

The purpose of this booklet is to give you a number of exercises on proposi- tional, first order and modal logics to complement the topics and exercises.

Propositional Logic: exercises. 1. Prove that p ∧ ¬p is unsatisfiable. 2. Prove that p ∨ ¬p is a tautology. 3. Write the truth table of the following two ...

13 апр. 2007 г. · Find an UoD and two unary predicates P(x) and Q(x) such that (∀x)[P(x) → Q(x)] is true. UoB - all human beings.

Introductory exercises. Exercises 1 (Some informal arguments) · Propositional logic introduced. Exercises 8 (Negation and other connectives) · Quantificational ...

3. Show that (p → r) ∧ (q → r) and (p ∨ q) → r are logically equivalent. Method 1: Use truth table. Method 2: Use the laws of logic.

Exercise. Translate the following English sentences into our formal language using conjunction (the dot), negation (the tilde), or disjunction (the wedge). Use ...

16 мар. 2015 г. · Write logic formulas using the syntax previously defined, using false (or for brevity, "F"), true (or "T"), ¬, ∧, ∨, and ⇒.

If Gianni is not lucky and he is not fit, he does not climb mount Everest. Gianni is fit. (a)Formalize the above sentences in propositional logic. (C ∧ F)→E.

The notation p ≡ q denotes that p and q are logically equivalent. EXAMPLE 2 Show that ￢(p ∨ q) and ￢p ∧￢q are logically equivalent.