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

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

An Example enum op_type

An Example enum op_type {ADD=0, SUBTRACT=1, MULTIPLY=2, DIV=3}; int perform_op(op_type op, int x, int y) { int res; if(op == ADD) res = x+y; else if(op == SUBTRACT) res = x-y; else if(op == MULTIPLY) res = x*y; else if(op == DIV) { assert(y!=0); res = x/y; } else res = UNDEFINED; } return res; Branch Success Condition op = 0 op 6= 0 ^ op = 1 op 6= 0 ^ op 6= 1 ^ op = 2 true true true y 6= 0 op 6= ^op 6= 1 ^ op 6= 2 ^ op 6= 3 true Program analysis tool examines every branch and computes condition under which each branch succeeds.

An Example enum op_type {ADD=0, SUBTRACT=1, MULTIPLY=2, DIV=3}; int perform_op(op_type op, int x, int y) { int res; if(op == ADD) res = x+y; else if(op == SUBTRACT) res = x-y; else if(op == MULTIPLY) res = x*y; else if(op == DIV) { assert(y!=0); res = x/y; } else res = UNDEFINED; return res; } op = 0 _ (op 6= 0 ^ op = 1) _ (op 6= 0 ^ op 6= 1 ^ op = 2)_ (op 6= 0 ^ op 6= 1 ^ op 6= 2 ^ op = 3 ^ y 6= 0)_ (op 6= 0 ^ op 6= 1 ^ op 6= 2 ^ op 6= 3)

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