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A deductive theory of space and time (no TOC) by Saul A. Basri

By Saul A. Basri

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95 (define first-value (lambda (l ) (run1 (y) (member o y l )))) If l is the empty list or not a list, (first-value l ) returns (), whereas with car there is no meaning. Also, instead of returning the first value, it returns the list of the first value. Given that its argument is a list, how does first-value differ from car What is the value of 96 (pasta)). (first-value (pasta e fagioli))) What value is associated with y in 97 pasta. (first-value (pasta e fagioli))) Consider this variant of member o .

Run (y) (member o y l )) ∗ always the value of l Using run∗ , define a function called identity whose argument is a list, and which returns that list. 65 What value is associated with x in 66 (define identity (lambda (l ) (run∗ (y) (member o y l )))) e. (run (x ) (member o e (pasta x fagioli)))) ∗ Why is e the value associated with x in 67 (run∗ (x ) (member o e (pasta x fagioli)))) What have we just done? 68 What value is associated with x in 69 Because (member o e (pasta e fagioli))) succeeds.

0 (run1 (x ) (member o e (pasta e x fagioli)))) What value is associated with x in (run1 (x ) (member o e (pasta x e fagioli)))) 38 70 The list contains three values with a variable in the middle. The member o function determines that x ’s value should be e. e, , because the recursion succeeds before it gets to the variable x . because the recursion succeeds when it gets to the variable x . Chapter 3 71 What is the value of ((e 0 )( 0 e))). (run (r ) (fresh (x y) (member o e (pasta x fagioli y))) (≡ (x y)) r ))) ∗ What does each value in the list mean?

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