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# Small Formulas for Large Programs: On-line Constraint ...

Small Formulas for Large Programs: On-line Constraint ...

## Constructing Critical

Constructing Critical Constraint ● Assume we represent formula as a tree. ● The critical constraint for root is true. ● Let N be any non­root node with parent P and i'th sibling S(i). ● If P is an AND connective: ● If P is an OR connective:

Example ● Consider again the formula: x = y ^ (f(x) = 1 _ (f(y) = 1 ^ x + y · 1)) f(x) = 1 _ (f(y) = 1 ^ x + y · 1) x = y ^ (f(y) 6= 1 _ x + y > 1) true x = y x = y ^ f(x) 6= 1 ^ x + y · 1 x = y ^ f(x) 6= 1 false

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