Kind/book/_main.kind2
2024-03-12 11:55:09 -03:00

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//data Vector A (len: Nat)
//| cons (len: Nat) (head: A) (tail: (Vector A len)) : (Vector A (Nat.succ len))
//| nil : (Vector A Nat.zero)
_main
: use list =
(List.cons _ Nat.zero
(List.cons _ 1
(List.cons _ (Nat.succ (Nat.succ Nat.zero))
(List.nil _))))
(The (List Nat) list)
= ?A
//C0
//All { nam: "len", inp: Var { nam: "Nat" }, bod:
//All { nam: "head", inp: Var { nam: "A" }, bod:
//All { nam: "tail", inp: App { fun: App { fun: Var { nam: "Vector" }, arg: Var { nam: "A" } }, arg: Var { nam: "len" } }, bod:
//App { fun: App { fun: Var { nam: "P" }, arg: App { fun: Var { nam: "Nat.succ" }, arg: Var { nam: "len" } } }, arg: App { fun: App { fun: App { fun: App { fun: Var { nam: "Vector.cons" }, arg: Var { nam: "A" } }, arg: Var { nam: "len" } }, arg: Var { nam: "head" } }, arg: Var { nam: "tail" } } } } } }
//ADT {
//name: "Vector",
//pars: ["A"],
//idxs: [("len", Var { nam: "Nat" })],
//ctrs: [
//Constructor {
//name: "cons",
//flds: [("len", Var { nam: "Nat" }), ("head", Var { nam: "A" }), ("tail", App { fun: App { fun: Var { nam: "Vector" }, arg: Var { nam: "A" } }, arg: Var { nam: "len" } })],
//idxs: [App { fun: Var { nam: "Nat.succ" }, arg: Var { nam: "len" } }, App { fun: App { fun: App { fun: App { fun: Var { nam: "Vector.cons" }, arg: Var { nam: "A" } }, arg: Var { nam: "len" } }, arg: Var { nam: "head" } }, arg: Var { nam: "tail" } }]
//},
//Constructor {
//name: "nil",
//flds: [],
//idxs: [
//Var { nam: "Nat.zero" },
//App { fun: Var { nam: "Vector.nil" }, arg: Var { nam: "A" } }
//]
//}
//]
//}