Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision | Next revision Both sides next revision | ||
|
sav08:simple_qe_for_dense_linear_orders [2009/04/21 23:59] vkuncak |
sav08:simple_qe_for_dense_linear_orders [2009/04/22 00:02] vkuncak |
||
|---|---|---|---|
| Line 12: | Line 12: | ||
| Formulas $T$ are the formulas that are closed formulas that are true in the structure $(\mathbb{Q},<)$ or rational numbers. | Formulas $T$ are the formulas that are closed formulas that are true in the structure $(\mathbb{Q},<)$ or rational numbers. | ||
| - | **Example:** | + | **Example:** The 'successor' formula: |
| \[ | \[ | ||
| \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) | ||
| Line 38: | Line 38: | ||
| Quantifier elimination from more general formulas: | Quantifier elimination from more general formulas: | ||
| + | |||
| + | **Example:** Use quantifier elimination to compute the truth value in dense linear orders for the example 'successor' formula above. | ||
| + | |||
| + | ===== References ===== | ||
| * [[http://www4.informatik.tu-muenchen.de/~nipkow/pubs/lqe.pdf|Linear Quantifier Elimination]] | * [[http://www4.informatik.tu-muenchen.de/~nipkow/pubs/lqe.pdf|Linear Quantifier Elimination]] | ||