diff --git a/document/document.tex b/document/document.tex index 3b61632..8386e8b 100644 --- a/document/document.tex +++ b/document/document.tex @@ -32,7 +32,7 @@ A program $\P$ is a set of (normal) rules. An ontology $\OO$ is a first-order fo The lattice $\langle \L^2, \preceq_p \rangle$ \begin{align*} - \Gamma(T, P) &\define \{ \head(r) ~|~ r \in \P,~ T \subseteq \bodyp(r),~ \bodyn(r) \intersect P = \emptyset \}\\ + \Gamma(T, P) &\define \{ \head(r) ~|~ r \in \P,~ \bodyp(r) \subseteq T,~ \bodyn(r) \intersect P = \emptyset \} \union \{ a \in \L ~|~ \OBO{T} \models a \}\\ extract(T) &\define \{ a \in \L ~|~ \OBO{T} \models \neg a \} \\ \Phi(T, P) &\define \Bigl( \Gamma(T, P), \Gamma(P, T) \setminus extract(T) \Bigr) \end{align*}