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vault backup: 2023-10-23 19:58:40

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Alice 2023-10-23 19:58:40 +01:00
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8
4a1s/MFES/PL - Aula 5.md
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@ -41,7 +41,7 @@ pred Invs {
//for all nodes sequentially linked, they must have the same hash //for all nodes sequentially linked, they must have the same hash
all x, y: Node | (x.prox = y) implies x.key.hash = y.key.hash all x, y: Node | (x.prox = y) implies x.key.hash = y.key.hash
//ALTERNATIVELY
//no node links to nodes associated with a different hash //no node links to nodes associated with a different hash
all x, y: Node | x.key.hash != y.key.hash implies (x.prox != y and y.prox != x) all x, y: Node | x.key.hash != y.key.hash implies (x.prox != y and y.prox != x)
@ -54,9 +54,15 @@ pred Invs {
//the prox node of another node may be empty //the prox node of another node may be empty
all x: Node, y : Node | x.prox = y or not x.prox = y all x: Node, y : Node | x.prox = y or not x.prox = y
//all x : Node | x.prox.key != x.key
//WORNG STUFF //WORNG STUFF
//buckets may only have one head exclusive to it //buckets may only have one head exclusive to it
all x, y : Bucket| all z : Node | x.head = z implies y.head != z all x, y : Bucket| all z : Node | x.head = z implies y.head != z
//all buckets have a unique hash
all x, y: Bucket | (x.head != none and y.head != none) implies x.head.key.hash != y.head.key.hash
} }
``` ```