(b) Write the following predicate logic statement in everyday English. Don't just give a word-for-word translation; your sentence should make sense. (3x)[1(x) ^ (Vy)(H(x,y) → M(y,x))] (c) Formally negate the statement from part (b). Simplify your negation so that no quantifier lies within the scope of a negation. State which derivation rules you are using. (d) Give a translation of your negated statement in everyday English.
(b) Write the following predicate logic statement in everyday English. Don't just give a word-for-word translation; your sentence should make sense. (3x)[1(x) ^ (Vy)(H(x,y) → M(y,x))] (c) Formally negate the statement from part (b). Simplify your negation so that no quantifier lies within the scope of a negation. State which derivation rules you are using. (d) Give a translation of your negated statement in everyday English.
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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![21. Let the following predicates be given. The domain is all computer science classes.
(a) WIT
I(x) = "x is interesting."
U(x) = "x is useful."
H(x, y) = "x is harder than y."
M(x, y) = "x has more students than y."
wing statements in predicate logic
i. All interesti
ere are some useful CS classes ....
iii. Every interesting CS class has more students than any non-
(b) Write the following predicate logic statement in everyday English. Don't just give a
word-for-word translation; your sentence should make sense.
(3x)[1(x) ^ (Vy)(H(x,y) → M(y,x))]
(c) Formally negate the statement from part (b). Simplify your negation so that no
quantifier lies within the scope of a negation. State which derivation rules you are
using.
(d) Give a translation of your negated statement in everyday English.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff800a840-0309-4834-92a3-4244363b7afa%2F53ce7cb4-2f28-48f8-aed1-b99bb7318bfc%2Fv7tntgp_processed.png&w=3840&q=75)
Transcribed Image Text:21. Let the following predicates be given. The domain is all computer science classes.
(a) WIT
I(x) = "x is interesting."
U(x) = "x is useful."
H(x, y) = "x is harder than y."
M(x, y) = "x has more students than y."
wing statements in predicate logic
i. All interesti
ere are some useful CS classes ....
iii. Every interesting CS class has more students than any non-
(b) Write the following predicate logic statement in everyday English. Don't just give a
word-for-word translation; your sentence should make sense.
(3x)[1(x) ^ (Vy)(H(x,y) → M(y,x))]
(c) Formally negate the statement from part (b). Simplify your negation so that no
quantifier lies within the scope of a negation. State which derivation rules you are
using.
(d) Give a translation of your negated statement in everyday English.
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