• English only

Differences

This shows you the differences between two versions of the page.

sav08:interpolants_from_resolution_proofs [2008/03/18 10:49]
tatjana
sav08:interpolants_from_resolution_proofs [2008/03/26 20:26] (current)
piskac
Line 21: Line 21:
* if $q \in FV(A) \setminus FV(B)$ then $I(C) = I(C_1) \lor I(C_2)$     * if $q \in FV(A) \setminus FV(B)$ then $I(C) = I(C_1) \lor I(C_2)$
* if $q \in FV(B) \setminus FV(A)$ then $I(C) = I(C_1) \land I(C_2)$     * if $q \in FV(B) \setminus FV(A)$ then $I(C) = I(C_1) \land I(C_2)$
-    * if $q \in FV(A) \cap FV(B)$ then $I(C) = ite(q,I(C_2),I(C_1))$+    * if $q \in FV(A) \cap FV(B)$ then $I(C) = ite(q,I(C_1),I(C_2))$

We prove that $I(C)$ has the desired property by induction on the structure of the resolution proof tree. We prove that $I(C)$ has the desired property by induction on the structure of the resolution proof tree.