Question

1. Consider the following predicates:

HUMAN(x) – x is a human being

AFRICANAMERICAN(x) – x is an African-American

STUDENT(x) – x is a UMW student

LIKES(p,h) – person p likes hobby h

COURSE(c) - c is a UMW course

REQUIRED(c,s) – c is a required course for student s

NFLTEAM(x) – x is an NFL team

SUPERBOWL(a, n, y) – teams a and n played in the Superbowl in year y

SUPERBOWLWIN(a, y) – team a won the Superbowl in year y

WEARING(p,i) – person p is wearing item i

HIDING(p, f) – person p is concealing fact f from the population at large

DAYFEELSLIKE(d, t) – on day d, I feel like doing activity t

PRESIDENT(x) – x is, or was, President of the United States

Write expressions in predicate logic for each of the following sentences using only the predicates listed above.

1. “There is a course at UMW that every student must take.”
2. “Not every NFL team has made it to the Superbowl.”
3. “Some people like skateboarding and knitting.”
4. “If you wear sunglasses, you’re hiding something.”
5. “Some days, I feel like singing – and on those days, I never feel like crying.”
6. “Barack Obama is the only African-American president in U.S. history.”
7. “There has never been an NFL team that has won the Superbowl 4 years in a row

Answer 1

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