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sav07_lecture_8 [2007/04/06 14:23] vkuncak |
sav07_lecture_8 [2007/04/06 14:24] vkuncak |
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| * the idea of Fourier-Motzkin elimination | * the idea of Fourier-Motzkin elimination | ||
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| (ALL x. EX y. R(x,y)) & | (ALL x. EX y. R(x,y)) & | ||
| - | (ALL x y z. R(x,y) --> R(x, plus(x,z))) & | + | (ALL x y z. R(x,y) --> R(x, plus(y,z))) & |
| (Ev(x) | Ev(plus(x,1))) --> | (Ev(x) | Ev(plus(x,1))) --> | ||
| (ALL x. EX y. R(x,y) & E(y)) | (ALL x. EX y. R(x,y) & E(y)) | ||
| - | Review of transformation to clauses, unification and resolution rule. | + | The intuitive infinite model. |
| + | Example finite model where this holds. | ||
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| + | Review of transformation to clauses, unification, resolution rule in this example. | ||
| The meaning of completeness and soundness of resolution. | The meaning of completeness and soundness of resolution. | ||