Exercise 4.68

Read Exercise 4.68 ~ Solution

;; from the book
(run-query '(assert! (rule (append-to-form () ?y ?y))))
(run-query '(assert! (rule (append-to-form (?u . ?v) ?y (?u . ?z))
                           (append-to-form ?v ?y ?z))))

;; base case an empty list
(run-query '(assert! (rule (reverse () ()))))
; reverse a list
; a list, L,  has a head and tail, H . T
; reversing the list is (reverse T) . H
(run-query '(assert! (rule (reverse (?h . ?t) ?y)
                           (and (reverse ?t ?reversed-t)
                                (append-to-form ?reversed-t (?h) ?y)))))

(run-query '(reverse (1 2 3) ?x))
;; ==> (reverse (1 2 3) (3 2 1))

So (reverse (1 2 3) ?x) works as expected, but (reverse ?x (1 2 3)) won’t.
To see why let’s look at the behaviour of reverse.

(reverse ?x (1 2 3))
(reverse (?hx . ?tx) y?)
(and (reverse ?tx ?reversed-tx)
     (append-to-form ?reversed-tx (?hx) ?y))
; but since ?x isn't bound
(reverse ?tx ?reversed-tx)
(reverse (?htx . ?ttx) ?reversed-tx)
(and (reverse ?htx ?reversed-htx)
     (append-to-form ?reversed-htx (?htx) ?reversed-tx))
; but since ?tx isn't bound
(reverse ?htx ?reversed-htx)

However, using the evaluator with the loop detector results in an empty-stream of results.
Once the rule has been applied to all the frames, the duplicate query patterns all result in the empty-stream, and no recursive call is made to query-eval.
As soon as the reverse rule been applied to the possible frames, it will end.


4 thoughts on “Exercise 4.68

  1. Hi Barry –
    I think that if your loop detector eliminates all of the “bad” (infinite loop) frames from the results in the case where you execute the query “(reverse ?x (1 2 3))”, you can get the right results by allowing the querier to reduce to the other case:

    (rule (reverse ?x ?y)
    (reverse ?y ?x))

  2. Yes, that’s a good suggestion.
    I struggled a LOT getting the loop detector working at all, with several failed attempts. It’s been the hardest exercise so far and I just ran out of steam. I need to get back into finishing the rest of the exercises i the book.

    1. Yep, the loop detector was a tough one indeed. Definitely the hardest exercise in the book so far that I’ve managed to do! Looks like you’re back into it now though ;)

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