Decide whether each of the following sentences is valid , satisfiable or unsatis

Question

Decide whether each of the following sentences is valid, satisfiable or unsatisfiable:

Smoke à Smoke

Smoke à Fire

(Smoke à Fire) à (ØSmoke à ØFire)

Smoke Ú Fire Ú ØFire

((Smoke Ù Heat) à Fire) à ((Smoke à Fire) Ú (Heat à Fire)

(Smoke à Fire) à ((Smoke Ù Heat) à Fire)

Big Ù Dumb Ú (Big à Dumb)

(Big Ù Dumb) Ú ØDumb

Using logical entailment, prove the distributivity of Ù over Ú.

Write the following LISP function: (circle-space r)

     Calculate the area of a circle with radius r

Write the following LISP function: (temp-change f)

     Convert temperatures in Fahrenheit degrees f to temperatures in Celsius

Write the following LISP function: (front-or-back l)

     Return the first item of a list if it contains an even number of elements

     Return the last item of a list if it contains an odd number of elements

Explanation / Answer

Decide whether each of the following sentences is valid, satisfiable or unsatisfiable:

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