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[DOCX File]LOGIC AND TRUTH TABLES
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Nov 20, 2013 · Logically equivalent expressions have the same truth tables. Show that the following pairs of statements are logically equivalent. (a) (¬ p) q …
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[DOC File]Home | Computer Science and Engineering
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The conditional statement will be true if p is false or if q in one case or r in the other case is true, i.e., when q \/ r is true, which is precisely when p → (q \/ r) is true. Since the two propositions are true in exactly the same situations, they are logically equivalent.
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[DOC File]Truth Tables, Tautologies, & Logically Equivalent Statements:
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b) Prove that the two statements are logically equivalent, or give a reason why they are not equivalent. (Hint: Construct a truth table!!!) Exercises: In 1 – 8: a) Copy and complete the truth table for the given statement. b) Indicate whether the statement the statement is a tautology. 1) p q p Λ q (p Λ q) → p 2) p q p V q (p V q) → p 3)
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[DOC File]Equivalent Statements
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: The original conditional statement and the contrapositive of the original are logically equivalent statements and may be used interchangeably. p → q is logically equivalent to ~q → ~p. p → q may be replaced by ~q → ~p. ~q → ~p may be replaced by p → q. Key Point:
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[DOC File]Logic - OpenTextBookStore
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A conditional statement and its contrapositive are logically equivalent. The converse and inverse of a conditional statement are logically equivalent. In other words, the original statement and the contrapositive must agree with each other; they must both be true, or they must both be false.
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[DOC File]MODULE 1 - Florida State University
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1. Select the statement that is logically equivalent to "If today is Sunday, then school is closed." A. If today isn't Sunday, then school isn't closed. B. If school is closed, then today is Sunday. C. If school isn't closed, then today isn't Sunday. D. A, B, & C are all equivalent to the statement above. 2.
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[DOCX File]Chapter 2
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Are the following statement forms logically equivalent: p ∨ q → p . and . p ∨(∼ p ∧ q)? Include a truth table and a few words explaining how the truth table supports your answer. State precisely (but concisely) what it means for two statement forms to be logically equivalent.
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[DOCX File]Home - Department of Computer Science
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Q5) [3] Assume x is a particular real number. Determine whether statement (a) and (b) are logically equivalent . a) x < 2 or it is not the case that 0 < x < 3. b) x 0 or either x < 2 or x ≥ 3. Do this question by letting p,q,r be the 3 statement variables for the 3 statements in a) and b).
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[DOC File]Translate the following sentences into the standard (= “if ...
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This statement is logically equivalent to our original conditional statement, put in standard form: “ If. Moby Dick is a whale, then Moby Dick is a mammal.” In both cases, “Moby Dick is a mammal.” is the consequent of the conditional statement.
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[DOC File]SI202: Week 1
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The inverse of a statement is not logically equivalent to the statement. If a conditional statement is true, its inverse may or may not be true. Examples. What is the inverse of the statements in the last example? C. Answer the following three True/False questions. i) A conditional statement and its converse are logically equivalent.
conditional statements and equivalence

What is a logically equivalent statement