A propositional variable p is a formula. (It is assumed that there are infinitary many such variables p, q, r, p1, p2,...) fA is a formula, then (~ A) is also a formula. f A, B are formulas, then (A A B), (A V B), (A → B), (A = B) are formulas, respectively. FA is a formula, then •A and CA are formulas, respectively. We use A, AD B to mean ¬A, A B, respectively since we use the text book by Girle [1] (See below). - Exercices.
A propositional variable p is a formula. (It is assumed that there are infinitary many such variables p, q, r, p1, p2,...) fA is a formula, then (~ A) is also a formula. f A, B are formulas, then (A A B), (A V B), (A → B), (A = B) are formulas, respectively. FA is a formula, then •A and CA are formulas, respectively. We use A, AD B to mean ¬A, A B, respectively since we use the text book by Girle [1] (See below). - Exercices.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![* A propositional variable p is a formula. (It is assumed that there are infinitary many such variables p, q, r, p1, p2, ...)
* If A is a formula, then (~ A) is also a formula.
* If A, B are formulas, then (A A B), (A v B), (A → B), (A = B) are formulas, respectively.
*if A is a formula, then •A and OA are formulas, respectively.
* We use - A, AB to mean ¬A, A → B, respectively since we use the text book by Girle [1] (See below). - Exercices.
Give examples of formulas and explain why they satisfy this definition.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fefb7b368-6075-4fc2-a43f-2537a1b17c5a%2Fb0a7d257-6504-4521-9950-258be77b6f23%2Flyiw56_processed.jpeg&w=3840&q=75)
Transcribed Image Text:* A propositional variable p is a formula. (It is assumed that there are infinitary many such variables p, q, r, p1, p2, ...)
* If A is a formula, then (~ A) is also a formula.
* If A, B are formulas, then (A A B), (A v B), (A → B), (A = B) are formulas, respectively.
*if A is a formula, then •A and OA are formulas, respectively.
* We use - A, AB to mean ¬A, A → B, respectively since we use the text book by Girle [1] (See below). - Exercices.
Give examples of formulas and explain why they satisfy this definition.
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