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1. For the following proposition, indicate whether it is a tautology, a contra-diction or neither. Show the solution in a truth table (10) (-B ->~A) -> ((~B -> A) ->B)

1. For the following proposition, indicate whether it is a tautology, a contra-diction or neither. Show the solution in a truth table (10) (-B ->~A) -> ((~B -> A) ->B)

Advanced Engineering Mathematics
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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II. Truth Table 1. For the following proposition, indicate whether it is a tautology, a contra-diction or neither. Show the solution in a truth table (10) (-B ->~A) -> ((~B -> A) ->B) III. From the given premise. Prove the indicated output. (20) 1 Premises: p → (q ^r), s → r, r → p. Prove: s → q. 2 Premises: -(r v s), ~p → s, p → q. Prove: q.
Transcribed Image Text:II. Truth Table 1. For the following proposition, indicate whether it is a tautology, a contra-diction or neither. Show the solution in a truth table (10) (-B ->~A) -> ((~B -> A) ->B) III. From the given premise. Prove the indicated output. (20) 1 Premises: p → (q ^r), s → r, r → p. Prove: s → q. 2 Premises: -(r v s), ~p → s, p → q. Prove: q.
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