| 21. | A constraint satisfaction problem may be relationally consistent, have no empty domain or unsatisfiable constraint, and yet be unsatisfiable.
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| 22. | This addition makes the constraint store unsatisfiable, and the interpreter backtracks, removing the last addition from the constraint store.
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| 23. | A " minimum unsatisfiable core " contains the smallest number of the original clauses required to still be unsatisfiable.
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| 24. | A " minimum unsatisfiable core " contains the smallest number of the original clauses required to still be unsatisfiable.
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| 25. | To show that a formula A is provable, the tableaux method attempts to demonstrate that the negation of A is unsatisfiable.
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| 26. | One of these conjunctions may contain a pair of complementary literals, in which case that conjunction is proved to be unsatisfiable.
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| 27. | On the other hand, it seems to be very difficult to determine the value of an unsatisfiable game, even approximately.
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| 28. | With this variant, a proof for an unsatisfiable set can always be found by a suitable policy of application of the other rules.
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| 29. | This is because the only way such calculi cannot generate a closed tableau from an unsatisfiable set is by not applying some applicable rules.
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| 30. | In spite of this reduction of choices, the completeness theorem implies that a closed tableau can be found if the set is unsatisfiable.
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