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sav08:classical_decision_problem [2008/04/02 23:57] vkuncak |
sav08:classical_decision_problem [2008/04/02 23:58] vkuncak |
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| Classify formulas according to | Classify formulas according to | ||
| - | * presence or absence of equality in formulas | ||
| * regular expression describing the sequence of quantifiers (e.g. $\exists^* \forall^*$ means formulas $\exists x_1. \ldots. \exists x_n. \forall y_1.\ldots \forall y_m. F$ where $F$ is quantifier-free) | * regular expression describing the sequence of quantifiers (e.g. $\exists^* \forall^*$ means formulas $\exists x_1. \ldots. \exists x_n. \forall y_1.\ldots \forall y_m. F$ where $F$ is quantifier-free) | ||
| * number and arity of relation symbols | * number and arity of relation symbols | ||
| * number and arity of function symbols | * number and arity of function symbols | ||
| + | * presence or absence of equality in formulas | ||
| For each such description, determine whether the subsets of formulas that satisfy it are decidable or not. | For each such description, determine whether the subsets of formulas that satisfy it are decidable or not. | ||