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sav08:atomic_diagram_normal_form [2009/05/12 22:59] vkuncak |
sav08:atomic_diagram_normal_form [2009/05/12 23:24] vkuncak |
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We next consider a syntactic normal form that helps us understand the decidability of the combination problem. | We next consider a syntactic normal form that helps us understand the decidability of the combination problem. | ||
+ | |||
===== Flat Form ===== | ===== Flat Form ===== | ||
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\[ | \[ | ||
C[t] \ \ \leadsto \ \ (x=t) \land C[x] | C[t] \ \ \leadsto \ \ (x=t) \land C[x] | ||
+ | \] | ||
+ | |||
+ | **Example:** Represent $f(x)+y < z$ as | ||
+ | \[ | ||
+ | x_1 = f(x) \land s_1 = x_1 + y \land s_1 < z | ||
\] | \] | ||