1 Using the following rewrite rules for Boolean expressions, give a derivation for the Boolean expression (NOT((F AND T)) OR F) Also draw a derivation tree corresponding to the derivation bool exp T F NOT ( bool exp ) ( bool exp AND bool exp ) ( bool exp OR bool exp ) 2 Using the following rewrite rules for Boolean expressions, find two different derivation trees for the Boolean expression NOT(T OR T AND F) bool exp T F NOT ( bool exp ) bool exp AND bool exp bool exp OR bool exp

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Question: 1. Using the following rewrite rules for Boolean expressions, give a derivation for the Boolean expression (NOT((F AND T)) OR F) . Also draw a

1. Using the following rewrite rules for Boolean expressions, give a derivation for the Boolean expression (NOT((F AND T)) OR F). Also draw a derivation tree corresponding to the derivation.

bool-exp	T \|
	F \|
	NOT ( bool-exp ) \|
	( bool-exp AND bool-exp ) \|
	( bool-exp OR bool-exp )

2. Using the following rewrite rules for Boolean expressions, find two different derivation trees for the Boolean expression NOT(T OR T AND F).

bool-exp	T \|
	F \|
	NOT ( bool-exp ) \|
	bool-exp AND bool-exp \|
	bool-exp OR bool-exp

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bool-exp	T \|
	F \|
	NOT ( bool-exp ) \|
	( bool-exp AND bool-exp ) \|
	( bool-exp OR bool-exp )

bool-exp	T \|
	F \|
	NOT ( bool-exp ) \|
	bool-exp AND bool-exp \|
	bool-exp OR bool-exp