Solution: Parsing a Boolean Expression
Explore how to parse and evaluate boolean expressions with nested NOT, AND, and OR operators using a stack. This lesson teaches a systematic approach to break down complex expressions from innermost to outer layers, implementing a linear time and space algorithm for accurate boolean evaluation.
We'll cover the following...
Statement
You are given a string, expression, that represents a boolean expression. The expression can take one of the following forms:
't': Represents the boolean value TRUE.'f': Represents the boolean value FALSE.'!(expr)': Represents a NOT operation applied to a subexpressionexpr. It returns the logical negation ofexpr.'&(expr1, expr2, ..., exprN)': Represents an AND operation over one or more subexpressions. It returns TRUE only if all subexpressions evaluate to TRUE. ...