|
| 1 | +Input: Nat(1) |
| 2 | + Type: NatType |
| 3 | +Result: Nat(1) |
| 4 | + |
| 5 | +Failed to type Nat(-1) at level 0 with enviroment Set() |
| 6 | +Failed to typechecks: Nat(-1) |
| 7 | + |
| 8 | +Input: Box(Nat(2)) |
| 9 | + Type: BoxType(NatType) |
| 10 | +Result: Box(Nat(2)) |
| 11 | + |
| 12 | +Input: Lift(Nat(3)) |
| 13 | + Type: BoxType(NatType) |
| 14 | +Step: Box(Nat(3)) |
| 15 | +Result: Box(Nat(3)) |
| 16 | + |
| 17 | +Input: Lambda(`x0`,NatType,Ref(`x0`)) |
| 18 | + Type: LambdaType(NatType,NatType) |
| 19 | +Result: Lambda(`x0`,NatType,Ref(`x0`)) |
| 20 | + |
| 21 | +Input: App(Lambda(`x0`,NatType,Ref(`x0`)),Nat(4)) |
| 22 | + Type: NatType |
| 23 | +Step: Nat(4) |
| 24 | +Result: Nat(4) |
| 25 | + |
| 26 | +Input: Box(Splice(Box(Nat(1)))) |
| 27 | + Type: BoxType(NatType) |
| 28 | +Step: Box(Nat(1)) |
| 29 | +Result: Box(Nat(1)) |
| 30 | + |
| 31 | +Input: Box(Splice(Lift(Nat(1)))) |
| 32 | + Type: BoxType(NatType) |
| 33 | +Step: Box(Splice(Box(Nat(1)))) |
| 34 | +Step: Box(Nat(1)) |
| 35 | +Result: Box(Nat(1)) |
| 36 | + |
| 37 | +Input: Box(Splice(Box(App(Lambda(`x0`,NatType,Ref(`x0`)),Splice(Lift(Nat(4))))))) |
| 38 | + Type: BoxType(NatType) |
| 39 | +Step: Box(Splice(Box(App(Lambda(`x0`,NatType,Ref(`x0`)),Splice(Box(Nat(4))))))) |
| 40 | +Step: Box(Splice(Box(App(Lambda(`x0`,NatType,Ref(`x0`)),Nat(4))))) |
| 41 | +Step: Box(App(Lambda(`x0`,NatType,Ref(`x0`)),Nat(4))) |
| 42 | +Result: Box(App(Lambda(`x0`,NatType,Ref(`x0`)),Nat(4))) |
| 43 | + |
| 44 | +Input: Match(Box(Nat(2)),PNat(2),Nat(0),Nat(1)) |
| 45 | + Type: NatType |
| 46 | +Step: Nat(0) |
| 47 | +Result: Nat(0) |
| 48 | + |
| 49 | +Input: Match(Box(Nat(2)),PNat(3),Nat(1),Nat(0)) |
| 50 | + Type: NatType |
| 51 | +Step: Nat(0) |
| 52 | +Result: Nat(0) |
| 53 | + |
| 54 | +Input: Match(Box(Nat(2)),PLit(`x0`),Ref(`x0`),Nat(0)) |
| 55 | + Type: NatType |
| 56 | +Step: Nat(2) |
| 57 | +Result: Nat(2) |
| 58 | + |
| 59 | +Input: Match(Box(Nat(2)),PBind(`x0`),Ref(`x0`),Box(Nat(0))) |
| 60 | + Type: BoxType(NatType) |
| 61 | +Step: Box(Nat(2)) |
| 62 | +Result: Box(Nat(2)) |
| 63 | + |
| 64 | +Input: Match(Box(Lambda(`y0`,NatType,Ref(`y0`))),PBind(`x0`),Ref(`x0`),Box(Lambda(`z0`,NatType,Nat(2)))) |
| 65 | + Type: BoxType(LambdaType(NatType,NatType)) |
| 66 | +Step: Box(Lambda(`y1`,NatType,Ref(`y1`))) |
| 67 | +Result: Box(Lambda(`y1`,NatType,Ref(`y1`))) |
| 68 | + |
| 69 | +Input: Match(Box(App(Lambda(`y0`,NatType,Ref(`y0`)),Nat(4))),PApp(PFun(`f0`),PBind(`x0`)),App(Ref(`f0`),Ref(`x0`)),Box(Nat(3))) |
| 70 | + Type: BoxType(NatType) |
| 71 | +Step: App(Lambda(`f2`,BoxType(NatType),Box(Splice(Ref(`f2`)))),Box(Nat(4))) |
| 72 | +Step: Box(Splice(Box(Nat(4)))) |
| 73 | +Step: Box(Nat(4)) |
| 74 | +Result: Box(Nat(4)) |
| 75 | + |
| 76 | +Failed to type Lambda(`x0`,NatType,Ref(`x0`)) at level 1 with enviroment Set(EnvVar(`x0`,1,NatType)) |
| 77 | +Failed to type Lambda(`x0`,NatType,Lambda(`x0`,NatType,Ref(`x0`))) at level 1 with enviroment Set() |
| 78 | +Failed to type Box(Lambda(`x0`,NatType,Lambda(`x0`,NatType,Ref(`x0`)))) at level 0 with enviroment Set() |
| 79 | +Failed to typechecks: Box(Lambda(`x0`,NatType,Lambda(`x0`,NatType,Ref(`x0`)))) |
| 80 | + |
| 81 | +Input: Fix(Lambda(`x0`,NatType,Nat(1))) |
| 82 | + Type: NatType |
| 83 | +Step: Nat(1) |
| 84 | +Result: Nat(1) |
| 85 | + |
| 86 | +Input: App(Fix(Lambda(`f0`,LambdaType(NatType,NatType),Lambda(`n0`,NatType,Match(Lift(Ref(`n0`)),PNat(0),Nat(1),App(Lambda(`a0`,NatType,App(Ref(`f0`),Ref(`a0`))),Nat(0)))))),Nat(1)) |
| 87 | + Type: NatType |
| 88 | +Step: App(Lambda(`n0`,NatType,Match(Lift(Ref(`n0`)),PNat(0),Nat(1),App(Lambda(`a0`,NatType,App(Fix(Lambda(`f3`,LambdaType(NatType,NatType),Lambda(`n1`,NatType,Match(Lift(Ref(`n1`)),PNat(0),Nat(1),App(Lambda(`a1`,NatType,App(Ref(`f3`),Ref(`a1`))),Nat(0)))))),Ref(`a0`))),Nat(0)))),Nat(1)) |
| 89 | +Step: Match(Lift(Nat(1)),PNat(0),Nat(1),App(Lambda(`a0`,NatType,App(Fix(Lambda(`f3`,LambdaType(NatType,NatType),Lambda(`n1`,NatType,Match(Lift(Ref(`n1`)),PNat(0),Nat(1),App(Lambda(`a1`,NatType,App(Ref(`f3`),Ref(`a1`))),Nat(0)))))),Ref(`a0`))),Nat(0))) |
| 90 | +Step: Match(Box(Nat(1)),PNat(0),Nat(1),App(Lambda(`a0`,NatType,App(Fix(Lambda(`f3`,LambdaType(NatType,NatType),Lambda(`n1`,NatType,Match(Lift(Ref(`n1`)),PNat(0),Nat(1),App(Lambda(`a1`,NatType,App(Ref(`f3`),Ref(`a1`))),Nat(0)))))),Ref(`a0`))),Nat(0))) |
| 91 | +Step: App(Lambda(`a0`,NatType,App(Fix(Lambda(`f3`,LambdaType(NatType,NatType),Lambda(`n1`,NatType,Match(Lift(Ref(`n1`)),PNat(0),Nat(1),App(Lambda(`a1`,NatType,App(Ref(`f3`),Ref(`a1`))),Nat(0)))))),Ref(`a0`))),Nat(0)) |
| 92 | +Step: App(Fix(Lambda(`f3`,LambdaType(NatType,NatType),Lambda(`n1`,NatType,Match(Lift(Ref(`n1`)),PNat(0),Nat(1),App(Lambda(`a1`,NatType,App(Ref(`f3`),Ref(`a1`))),Nat(0)))))),Nat(0)) |
| 93 | +Step: App(Lambda(`n1`,NatType,Match(Lift(Ref(`n1`)),PNat(0),Nat(1),App(Lambda(`a1`,NatType,App(Fix(Lambda(`f4`,LambdaType(NatType,NatType),Lambda(`n2`,NatType,Match(Lift(Ref(`n2`)),PNat(0),Nat(1),App(Lambda(`a2`,NatType,App(Ref(`f4`),Ref(`a2`))),Nat(0)))))),Ref(`a1`))),Nat(0)))),Nat(0)) |
| 94 | +Step: Match(Lift(Nat(0)),PNat(0),Nat(1),App(Lambda(`a1`,NatType,App(Fix(Lambda(`f4`,LambdaType(NatType,NatType),Lambda(`n2`,NatType,Match(Lift(Ref(`n2`)),PNat(0),Nat(1),App(Lambda(`a2`,NatType,App(Ref(`f4`),Ref(`a2`))),Nat(0)))))),Ref(`a1`))),Nat(0))) |
| 95 | +Step: Match(Box(Nat(0)),PNat(0),Nat(1),App(Lambda(`a1`,NatType,App(Fix(Lambda(`f4`,LambdaType(NatType,NatType),Lambda(`n2`,NatType,Match(Lift(Ref(`n2`)),PNat(0),Nat(1),App(Lambda(`a2`,NatType,App(Ref(`f4`),Ref(`a2`))),Nat(0)))))),Ref(`a1`))),Nat(0))) |
| 96 | +Step: Nat(1) |
| 97 | +Result: Nat(1) |
| 98 | + |
| 99 | +Input: App(Lambda(`x0`,BoxType(NatType),Match(Ref(`x0`),PApp(PFun(`f0`),PBind(`z0`)),App(Ref(`f0`),Ref(`x0`)),Box(Nat(4)))),Box(App(Lambda(`a0`,NatType,App(Lambda(`b0`,NatType,Ref(`b0`)),Ref(`a0`))),Nat(2)))) |
| 100 | + Type: BoxType(NatType) |
| 101 | +Step: Match(Box(App(Lambda(`a3`,NatType,App(Lambda(`b1`,NatType,Ref(`b1`)),Ref(`a3`))),Nat(2))),PApp(PFun(`f0`),PBind(`z0`)),App(Ref(`f0`),Box(App(Lambda(`a3`,NatType,App(Lambda(`b1`,NatType,Ref(`b1`)),Ref(`a3`))),Nat(2)))),Box(Nat(4))) |
| 102 | +Step: App(Lambda(`f6`,BoxType(NatType),Box(App(Lambda(`b2`,NatType,Ref(`b2`)),Splice(Ref(`f6`))))),Box(App(Lambda(`a3`,NatType,App(Lambda(`b1`,NatType,Ref(`b1`)),Ref(`a3`))),Nat(2)))) |
| 103 | +Step: Box(App(Lambda(`b2`,NatType,Ref(`b2`)),Splice(Box(App(Lambda(`a4`,NatType,App(Lambda(`b3`,NatType,Ref(`b3`)),Ref(`a4`))),Nat(2)))))) |
| 104 | +Step: Box(App(Lambda(`b2`,NatType,Ref(`b2`)),App(Lambda(`a4`,NatType,App(Lambda(`b3`,NatType,Ref(`b3`)),Ref(`a4`))),Nat(2)))) |
| 105 | +Result: Box(App(Lambda(`b2`,NatType,Ref(`b2`)),App(Lambda(`a4`,NatType,App(Lambda(`b3`,NatType,Ref(`b3`)),Ref(`a4`))),Nat(2)))) |
| 106 | + |
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