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sav08:herbrand_universe_for_equality [2008/04/02 22:59] vkuncak |
sav08:herbrand_universe_for_equality [2015/04/21 17:30] (current) |
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Recall example of formula $F$: | Recall example of formula $F$: | ||
- | \[ | + | \begin{equation*} |
P(a) \land (\forall x.\ P(x) \rightarrow \lnot P(f(x))) \land (\forall x. x=a \lor x=b) | P(a) \land (\forall x.\ P(x) \rightarrow \lnot P(f(x))) \land (\forall x. x=a \lor x=b) | ||
- | \] | + | \end{equation*} |
Replace '=' with 'eq': | Replace '=' with 'eq': | ||
- | \[ | + | \begin{equation*} |
P(a) \land (\forall x.\ P(x) \rightarrow \lnot P(f(x))) \land (\forall x. eq(x,a) \lor eq(x,b)) | P(a) \land (\forall x.\ P(x) \rightarrow \lnot P(f(x))) \land (\forall x. eq(x,a) \lor eq(x,b)) | ||
- | \] | + | \end{equation*} |
call the resulting formula $F'$. | call the resulting formula $F'$. | ||