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sav08:simple_qe_for_dense_linear_orders [2009/04/22 12:08] vkuncak |
sav08:simple_qe_for_dense_linear_orders [2015/04/21 17:30] (current) |
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| **Example:** The 'successor' formula: | **Example:** The 'successor' formula: | ||
| - | \[ | + | \begin{equation*} |
| \forall x. \exists y.\ x < y \ \land\ (\forall z. (x < z \rightarrow z=y \lor y < z) | \forall x. \exists y.\ x < y \ \land\ (\forall z. (x < z \rightarrow z=y \lor y < z) | ||
| - | \] | + | \end{equation*} |
| Is this formula true in dense linear orders? Is there a non-dense linear order where its truth value is different? | Is this formula true in dense linear orders? Is there a non-dense linear order where its truth value is different? | ||