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imp1.mli
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imp1.mli
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type bool =
| True
| False
val negb : bool -> bool
type nat =
| O
| S of nat
type 'a option =
| Some of 'a
| None
type sumbool =
| Left
| Right
val plus : nat -> nat -> nat
val mult : nat -> nat -> nat
val minus : nat -> nat -> nat
val eq_nat_dec : nat -> nat -> sumbool
val beq_nat : nat -> nat -> bool
val ble_nat : nat -> nat -> bool
type id =
nat
(* singleton inductive, whose constructor was Id *)
val eq_id_dec : id -> id -> sumbool
type state = id -> nat
val update : state -> id -> nat -> state
type aexp =
| ANum of nat
| AId of id
| APlus of aexp * aexp
| AMinus of aexp * aexp
| AMult of aexp * aexp
type bexp =
| BTrue
| BFalse
| BEq of aexp * aexp
| BLe of aexp * aexp
| BNot of bexp
| BAnd of bexp * bexp
val aeval : state -> aexp -> nat
val beval : state -> bexp -> bool
type com =
| CSkip
| CAss of id * aexp
| CSeq of com * com
| CIf of bexp * com * com
| CWhile of bexp * com
val ceval_step : state -> com -> nat -> state option