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dekker-phd-thesis/assets/mzn/6_lex_minimize.mzn

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MiniZinc

predicate lex_minimize(array[int] of var int: o) =
let {
var index_set(o): stage
array[index_set(o)] of var int: best;
} in if status() = START then
stage = min(index_set(o))
else
if status() = UNSAT then
if lastval(stage) < l then
stage = lastval(stage) + 1
else
complete() % we are finished
endif
else
stage = lastval(stage)
/\ best[stage] = sol(_objective)
endif
/\ for(i in min(index_set(o))..stage-1) (
o[i] = lastval(best[i])
)
/\ if status() = SAT then
o[stage] < sol(_objective)
endif
/\ _objective = o[stage]
endif;