Let s denote Leo will study; .t denote Vahid will study; p denote Leo will...

    

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Let s denote "Leo will study"; .t denote "Vahid will study"; • p denote "Leo will pass the class"; ● 9 denote "Vahid will pass the class". Write a propositional formula for "Both Leo and Vahid will study but only one of them will pass the class." Implement your proposition in Python syntax using only operators and, or, not and parentheses. Submit a file named p2.py Problem 3. (5 points) Alice, Bob, Chloe, and David are friends trying to decide whether to go on a hike or go to a movie next weekend. Alice is recovering from an ankle injury. They will hike if Alice's ankle is well by the weekend, and the majority of Bob, Chloe, and David want to hike; otherwise, they will go to a movie. Let the predicate a be True if Alice's ankle is well and False otherwise. Let predicates b, c, and d be True if Bob, Chloe, and David, respectively, prefer to hike, and False otherwise. Write a propositional formula that is True if they will hike, and False if they will go to a movie. Implement your proposition in Python syntax using only operators and, or, not and parentheses. Submit a file named p3.py Problem 4. (10 points) In this problem, individual propositions will no longer be single variables, but rather equalities and inequalities. For example, a formula for "x is greater than 1 and at most 17 or is equal to 25" will look like (x > 1 and x <= 17) or x == 25 Note the following Python symbols for equalities and inequalities (pay particular attention to the fact that equality takes two equal signs): English equal to not equal to greater than less that at least (or "greater than or equal to") at most (or "less than or equal to") Math Python II AVAI VI == != < >= <= Write propositional formulas for the following propositions. a) x is positive or at most -100. Implement your proposition in Python syntax using only operators and, or, not, parentheses and the operators mentioned in the above table. Submit a file named p4a.py b) x is not 0 or 1. Implement your proposition in Python syntax using only operators and, or, not, parentheses and the operators mentioned in the above table. Submit a file named p4b.py Let s denote "Leo will study"; .t denote "Vahid will study"; • p denote "Leo will pass the class"; ● 9 denote "Vahid will pass the class". Write a propositional formula for "Both Leo and Vahid will study but only one of them will pass the class." Implement your proposition in Python syntax using only operators and, or, not and parentheses. Submit a file named p2.py Problem 3. (5 points) Alice, Bob, Chloe, and David are friends trying to decide whether to go on a hike or go to a movie next weekend. Alice is recovering from an ankle injury. They will hike if Alice's ankle is well by the weekend, and the majority of Bob, Chloe, and David want to hike; otherwise, they will go to a movie. Let the predicate a be True if Alice's ankle is well and False otherwise. Let predicates b, c, and d be True if Bob, Chloe, and David, respectively, prefer to hike, and False otherwise. Write a propositional formula that is True if they will hike, and False if they will go to a movie. Implement your proposition in Python syntax using only operators and, or, not and parentheses. Submit a file named p3.py Problem 4. (10 points) In this problem, individual propositions will no longer be single variables, but rather equalities and inequalities. For example, a formula for "x is greater than 1 and at most 17 or is equal to 25" will look like (x > 1 and x <= 17) or x == 25 Note the following Python symbols for equalities and inequalities (pay particular attention to the fact that equality takes two equal signs): English equal to not equal to greater than less that at least (or "greater than or equal to") at most (or "less than or equal to") Math Python II AVAI VI == != < >= <= Write propositional formulas for the following propositions. a) x is positive or at most -100. Implement your proposition in Python syntax using only operators and, or, not, parentheses and the operators mentioned in the above table. Submit a file named p4a.py b) x is not 0 or 1. Implement your proposition in Python syntax using only operators and, or, not, parentheses and the operators mentioned in the above table. Submit a file named p4b.py

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s True Leo will study t True Vahid will study p False Le... View the full answer