Construct a formal proof of validity for the following arguments: - If rain continues, then the river rises. If rain continues and the river rises, then the bridge will wash out. If continuation of the rain would cause the bridge to wash out, then a single road is not sufficient for the town. Either a single road is sufficient for the town or the traffic engineers have made a mistake. Therefore, the traffic engineers have made a mistake.   Let: p: The rain continues. q: The river rises. r: The bridge will wash out. s: A single road is sufficient for the town. t: The traffic engineers have made a mistake.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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► Construct a formal proof of validity for the following arguments:

- If rain continues, then the river rises. If rain continues and the river rises, then the bridge will wash out. If continuation of the rain would cause the bridge to wash out, then a single road is not sufficient for the town. Either a single road is sufficient for the town or the traffic engineers have made a mistake. Therefore, the traffic engineers have made a mistake.

 

Let:

p: The rain continues.

q: The river rises.

r: The bridge will wash out.

s: A single road is sufficient for the town.

t: The traffic engineers have made a mistake.

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