Boolean Algebra by R. L. Goodstein

Author:R. L. Goodstein
Language: eng
Format: epub
Publisher: Dover Publications

is X = A + U, Y = B + U, where U is arbitrary.

45. Find the general solution of the equations

.1. X × Y= A × B,

.2. C X=C Y,

.3. A X = 0.

46. Show that the equation

has a solution if and only if A B, and if this condition is satisfied show that the general solution is

47. Find the condition for the equation

to have a solution, and when this condition is satisfied, find the general solution.

CHAPTER FOUR

Sentence logic

4. We start this chapter by showing that Boolean algebra is also the algebra of sentences. If A, B are classes then we know that

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