all-pairs-shortest-paths3.rkt
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#lang syndicate
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;; After Figure 1 in "Logic and lattices for distributed programming",
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;; Conway et. al, UCB tech report, 2012
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;;
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;; Added path-seen set to ensure termination on input cycles.
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(require racket/set)
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(struct link (from to cost) #:prefab)
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(struct path (from to seen cost) #:prefab)
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(struct min-cost (from to cost) #:prefab)
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(spawn (assert (link 1 3 -2))
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(assert (link 2 1 4))
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(assert (link 2 3 3))
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(assert (link 3 4 2))
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(assert (link 4 2 -1)))
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(spawn (during (link $from $to $cost)
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(assert (path from to (set from to) cost))))
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(spawn (during (link $A $B $link-cost)
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(during (path B $C $seen $path-cost)
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(assert #:when (not (set-member? seen A))
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(path A C (set-add seen A) (+ link-cost path-cost))))))
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(spawn (during (path $from $to _ _)
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(field [costs (set)] [least +inf.0])
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(assert (min-cost from to (least)))
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(on (asserted (path from to _ $cost))
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(costs (set-add (costs) cost))
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(least (min (least) cost)))
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(on (retracted (path from to _ $cost))
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(define new-costs (set-remove (costs) cost))
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(costs new-costs)
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(least (for/fold [(least +inf.0)] [(x new-costs)] (min x least))))))
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(spawn (on (asserted (min-cost $from $to $cost))
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(displayln (min-cost from to cost))))
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