b) Let C(x, y) mean that "student x has taken course y", where the domain for x consists of all students at your school and the domain for y consists of all courses offered at the university. Express each of these sentences in terms of C(x, y), quantifiers, and logical connectives. (i) Not every student has taken the course SWEN2002. (ii) Laila has taken every course except for SWEN3000. (iii)Kayley has taken exactly one course. (c) Write each of the following statements in the form if p, then q. Shane has an allergy whenever he eats peanuts. (ii) It is necessary to have studied abroad to have the full experience of university. (iii)Rich will yell unless the children do not walk on his lawn.

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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(b) Let C(x, y) mean that "student x has taken course y", where the domain for x consists of
all students at your school and the domain for y consists of all courses offered at the
university. Express each of these sentences in terms of C(x, y), quantifiers, and logical
connectives.
(i) Not every student has taken the course SWEN2002.
(ii) Laila has taken every course except for SWEN3000.
(iii)Kayley has taken exactly one course.
(c) Write each of the following statements in the form if p, then q.
(i) Shane has an allergy whenever he eats peanuts.
(ii) It is necessary to have studied abroad to have the full experience of university.
(iii)Rich will yell unless the children do not walk on his lawn.
(d) Given the hypotheses, mk and (-h A-k)→ -p, m A p show that-h→m is a valid
conclusion.
Transcribed Image Text:(b) Let C(x, y) mean that "student x has taken course y", where the domain for x consists of all students at your school and the domain for y consists of all courses offered at the university. Express each of these sentences in terms of C(x, y), quantifiers, and logical connectives. (i) Not every student has taken the course SWEN2002. (ii) Laila has taken every course except for SWEN3000. (iii)Kayley has taken exactly one course. (c) Write each of the following statements in the form if p, then q. (i) Shane has an allergy whenever he eats peanuts. (ii) It is necessary to have studied abroad to have the full experience of university. (iii)Rich will yell unless the children do not walk on his lawn. (d) Given the hypotheses, mk and (-h A-k)→ -p, m A p show that-h→m is a valid conclusion.
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