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

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

Example ● Consider

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 Non­relaxing because C(L2) ) :(f(y) = 1) x = y ^ f(x) 6= 1 false

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 Both non­constraining and non­relaxing because x = y ^ f(x) 6= false 1 implies leaf and its negation. false

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