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Extra info for A Linguistic Theory of Translation (Language and Language Learning)

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Backto Lastrnark. If since u last failed we have backed up to or above the level at which u encountered failure, we have to test u. However, we cannot always Start the new testing of values against u at level Backto, as in the CSP case. In the CSP case we know that there were no inconsistencies above the level of failure. Now we only know that there are no inconsistencies above the level where the first inconsistency was found, Thus there are two further cases: Backto Firstmark. If we have backed up to or above the level where the first inconsistency was found, we know that the unchanged values above that level are still consistent with u, and we can start the new testing of u at level Backto.

Denims inconsistency shirt shoes green, white Cordovans, sneakers (faildepth= 1) Fig. 7. Backjumping to the level of the last inconsistent chotee. C. Freuder, Ri. Wallace currently being considered. Current inconsistencies are indicated by the lines joining two nodes. Search has reached a dead end with the third variable (since the number of inconsistencies equals the bound), with the deepest level of failure (where the total number of inconsistencies became equal to the bound) at the level of variable I.

However, again, the differing definition of failure comes into play. If there is an inconsistency, a value is not rejected unless the total number of currently chosen values with which it is inconsistent is equal to the bound N. This means that the algorithm must dynamically keep track of the number of times a value has been found to be inconsistent with currently chosen values. This number, a form of dynamic arc consistency count, we will call the inconsistency count for a value. An example of forward checking beginning to operate on the matching clothes problem is shown in Fig.

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