Formalize the following arguments and verify whether they are valid. Please indicate which propositinal law or rule of infernce you are implementing: a. “If Carlo won the competition, then either Mario came second, or Sergio came third. Sergio didn’t come third. Thus, if Mario didn’t come second, then Carlo didn’t win the competition.” b. “If Carlo won the competition, then either Mario came second, or Sergio came third. Mario didn’t come second. Thus, if Carlo won the competition, then Sergio didn’t come third.” c. “If Carlo won the competition, then Mario came second, and Sergio came third. Mario didn’t come second. Thus, Carlo didn’t win the competition.”
Formalize the following arguments and verify whether they are valid. Please indicate which propositinal law or rule of infernce you are implementing: a. “If Carlo won the competition, then either Mario came second, or Sergio came third. Sergio didn’t come third. Thus, if Mario didn’t come second, then Carlo didn’t win the competition.” b. “If Carlo won the competition, then either Mario came second, or Sergio came third. Mario didn’t come second. Thus, if Carlo won the competition, then Sergio didn’t come third.” c. “If Carlo won the competition, then Mario came second, and Sergio came third. Mario didn’t come second. Thus, Carlo didn’t win the competition.”
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
Section: Chapter Questions
Problem 1PE
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- Formalize the following arguments and verify whether they are valid. Please indicate which propositinal law or rule of infernce you are implementing:
a. “If Carlo won the competition, then either Mario came second, or Sergio came third. Sergio didn’t come third. Thus, if Mario didn’t come second, then Carlo didn’t win the competition.”
b. “If Carlo won the competition, then either Mario came second, or Sergio came third. Mario didn’t come second. Thus, if Carlo won the competition, then Sergio didn’t come third.”
c. “If Carlo won the competition, then Mario came second, and Sergio came third. Mario didn’t come second. Thus, Carlo didn’t win the competition.”
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