2. What is the most general unifier of the following pairs of wff's? If none exists, report "fail." Assume that the capital letters are constants and the lowercase letters are variables. a. P(g(f (v)), g(u)) and P(x, x) b. Ру, У, В) апd P(z, х, z) c. P(x, f(x)) and P(y, y) 3. Translate the following sentences into logic. a. Neither the storm blast nor the flood did any damage to the house. b. Drivers should neither drive over 80 miles per hour nor cross the red light, or they will get a ticket.

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2. What is the most general unifier of the following pairs of wff's? If none exists, report
"fail." Assume that the capital letters are constants and the lowercase letters are
variables.
a. P(g(f (v)), g(u)) and P(x, x)
b. Ру, У, В) аnd P(z, х, z)
c. P(x, f (x)) and P(y, y)
3. Translate the following sentences into logic.
a. Neither the storm blast nor the flood did any damage to the house.
b. Drivers should neither drive over 80 miles per hour nor cross the red light, or they will
get a ticket.
Transcribed Image Text:2. What is the most general unifier of the following pairs of wff's? If none exists, report "fail." Assume that the capital letters are constants and the lowercase letters are variables. a. P(g(f (v)), g(u)) and P(x, x) b. Ру, У, В) аnd P(z, х, z) c. P(x, f (x)) and P(y, y) 3. Translate the following sentences into logic. a. Neither the storm blast nor the flood did any damage to the house. b. Drivers should neither drive over 80 miles per hour nor cross the red light, or they will get a ticket.
7. Estimate John's weight if you gave:
A) The degree of membership for each fuzzy fact:
John is tall (degree 0.3).
John is of medium height (degree 0.4).
John is short (degree 0.2)
John is well-built (degree 0.6).
John is weak (degree 0.30).
Where fuzzy membership functions are defined in terms of numerical values of an
underlying crisp attribute. (For example: Short, Medium and Tall in terms of height.
Weak and Well-built in terms of muscle mass)
B) The fuzzy Rules are:
R1: If height is short then weight is light.
R2: If height is medium then weight is medium.
R3: If height is tall then weight is heavy.
C) The fact that John's height is 6'1"
Transcribed Image Text:7. Estimate John's weight if you gave: A) The degree of membership for each fuzzy fact: John is tall (degree 0.3). John is of medium height (degree 0.4). John is short (degree 0.2) John is well-built (degree 0.6). John is weak (degree 0.30). Where fuzzy membership functions are defined in terms of numerical values of an underlying crisp attribute. (For example: Short, Medium and Tall in terms of height. Weak and Well-built in terms of muscle mass) B) The fuzzy Rules are: R1: If height is short then weight is light. R2: If height is medium then weight is medium. R3: If height is tall then weight is heavy. C) The fact that John's height is 6'1"
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