src/HOL/Tools/Nitpick/nitpick_mono.ML
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(*  Title:      HOL/Tools/Nitpick/nitpick_mono.ML
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    Author:     Jasmin Blanchette, TU Muenchen
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    Copyright   2009, 2010
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Monotonicity inference for higher-order logic.
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*)
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signature NITPICK_MONO =
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sig
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  type hol_context = Nitpick_HOL.hol_context
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  val trace : bool Unsynchronized.ref
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  val formulas_monotonic :
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    hol_context -> bool -> int -> typ -> term list * term list -> bool
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  val finitize_funs :
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    hol_context -> bool -> (typ option * bool option) list -> int -> typ
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    -> term list * term list -> term list * term list
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end;
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structure Nitpick_Mono : NITPICK_MONO =
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struct
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open Nitpick_Util
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open Nitpick_HOL
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structure PL = PropLogic
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datatype sign = Plus | Minus
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type var = int
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datatype annotation = Gen | New | Fls | Tru
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datatype annotation_atom = A of annotation | V of var
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type assign = var * annotation
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datatype mtyp =
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  MAlpha |
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  MFun of mtyp * annotation_atom * mtyp |
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  MPair of mtyp * mtyp |
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  MType of string * mtyp list |
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  MRec of string * typ list
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datatype mterm =
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  MRaw of term * mtyp |
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  MAbs of string * typ * mtyp * annotation_atom * mterm |
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  MApp of mterm * mterm
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type mdata =
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  {hol_ctxt: hol_context,
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   binarize: bool,
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   alpha_T: typ,
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   no_harmless: bool,
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   max_fresh: int Unsynchronized.ref,
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   datatype_mcache: ((string * typ list) * mtyp) list Unsynchronized.ref,
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   constr_mcache: (styp * mtyp) list Unsynchronized.ref}
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exception UNSOLVABLE of unit
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exception MTYPE of string * mtyp list * typ list
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exception MTERM of string * mterm list
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val trace = Unsynchronized.ref false
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fun trace_msg msg = if !trace then tracing (msg ()) else ()
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fun string_for_sign Plus = "+"
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  | string_for_sign Minus = "-"
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fun negate_sign Plus = Minus
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  | negate_sign Minus = Plus
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val string_for_var = signed_string_of_int
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fun string_for_vars sep [] = "0\<^bsub>" ^ sep ^ "\<^esub>"
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  | string_for_vars sep xs = space_implode sep (map string_for_var xs)
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fun subscript_string_for_vars sep xs =
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  if null xs then "" else "\<^bsub>" ^ string_for_vars sep xs ^ "\<^esub>"
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fun string_for_annotation Gen = "G"
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  | string_for_annotation New = "N"
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  | string_for_annotation Fls = "F"
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  | string_for_annotation Tru = "T"
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fun string_for_annotation_atom (A a) = string_for_annotation a
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  | string_for_annotation_atom (V x) = string_for_var x
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fun string_for_assign (x, a) =
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  string_for_var x ^ " = " ^ string_for_annotation a
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val bool_M = MType (@{type_name bool}, [])
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val dummy_M = MType (nitpick_prefix ^ "dummy", [])
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fun is_MRec (MRec _) = true
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  | is_MRec _ = false
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fun dest_MFun (MFun z) = z
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  | dest_MFun M = raise MTYPE ("Nitpick_Mono.dest_MFun", [M], [])
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val no_prec = 100
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fun precedence_of_mtype (MFun _) = 1
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  | precedence_of_mtype (MPair _) = 2
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  | precedence_of_mtype _ = no_prec
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val string_for_mtype =
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  let
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    fun aux outer_prec M =
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      let
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        val prec = precedence_of_mtype M
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        val need_parens = (prec < outer_prec)
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      in
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        (if need_parens then "(" else "") ^
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        (if M = dummy_M then
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           "_"
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         else case M of
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             MAlpha => "\<alpha>"
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           | MFun (M1, aa, M2) =>
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             aux (prec + 1) M1 ^ " \<Rightarrow>\<^bsup>" ^
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             string_for_annotation_atom aa ^ "\<^esup> " ^ aux prec M2
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           | MPair (M1, M2) => aux (prec + 1) M1 ^ " \<times> " ^ aux prec M2
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           | MType (s, []) =>
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             if s = @{type_name prop} orelse s = @{type_name bool} then "o"
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             else s
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           | MType (s, Ms) => "(" ^ commas (map (aux 0) Ms) ^ ") " ^ s
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           | MRec (s, _) => "[" ^ s ^ "]") ^
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        (if need_parens then ")" else "")
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      end
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  in aux 0 end
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fun flatten_mtype (MPair (M1, M2)) = maps flatten_mtype [M1, M2]
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  | flatten_mtype (MType (_, Ms)) = maps flatten_mtype Ms
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  | flatten_mtype M = [M]
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fun precedence_of_mterm (MRaw _) = no_prec
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  | precedence_of_mterm (MAbs _) = 1
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  | precedence_of_mterm (MApp _) = 2
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fun string_for_mterm ctxt =
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  let
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    fun mtype_annotation M = "\<^bsup>" ^ string_for_mtype M ^ "\<^esup>"
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    fun aux outer_prec m =
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      let
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        val prec = precedence_of_mterm m
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        val need_parens = (prec < outer_prec)
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      in
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        (if need_parens then "(" else "") ^
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        (case m of
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           MRaw (t, M) => Syntax.string_of_term ctxt t ^ mtype_annotation M
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         | MAbs (s, _, M, aa, m) =>
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           "\<lambda>" ^ s ^ mtype_annotation M ^ ".\<^bsup>" ^
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           string_for_annotation_atom aa ^ "\<^esup> " ^ aux prec m
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         | MApp (m1, m2) => aux prec m1 ^ " " ^ aux (prec + 1) m2) ^
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        (if need_parens then ")" else "")
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      end
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  in aux 0 end
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fun mtype_of_mterm (MRaw (_, M)) = M
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  | mtype_of_mterm (MAbs (_, _, M, aa, m)) = MFun (M, aa, mtype_of_mterm m)
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  | mtype_of_mterm (MApp (m1, _)) =
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    case mtype_of_mterm m1 of
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      MFun (_, _, M12) => M12
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    | M1 => raise MTYPE ("Nitpick_Mono.mtype_of_mterm", [M1], [])
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fun strip_mcomb (MApp (m1, m2)) = strip_mcomb m1 ||> (fn ms => append ms [m2])
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  | strip_mcomb m = (m, [])
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fun initial_mdata hol_ctxt binarize no_harmless alpha_T =
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  ({hol_ctxt = hol_ctxt, binarize = binarize, alpha_T = alpha_T,
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    no_harmless = no_harmless, max_fresh = Unsynchronized.ref 0,
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    datatype_mcache = Unsynchronized.ref [],
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    constr_mcache = Unsynchronized.ref []} : mdata)
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fun could_exist_alpha_subtype alpha_T (T as Type (_, Ts)) =
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    T = alpha_T orelse (not (is_fp_iterator_type T) andalso
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                        exists (could_exist_alpha_subtype alpha_T) Ts)
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  | could_exist_alpha_subtype alpha_T T = (T = alpha_T)
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fun could_exist_alpha_sub_mtype _ (alpha_T as TFree _) T =
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    could_exist_alpha_subtype alpha_T T
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  | could_exist_alpha_sub_mtype ctxt alpha_T T =
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    (T = alpha_T orelse is_datatype ctxt [(NONE, true)] T)
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fun exists_alpha_sub_mtype MAlpha = true
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  | exists_alpha_sub_mtype (MFun (M1, _, M2)) =
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    exists exists_alpha_sub_mtype [M1, M2]
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  | exists_alpha_sub_mtype (MPair (M1, M2)) =
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    exists exists_alpha_sub_mtype [M1, M2]
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  | exists_alpha_sub_mtype (MType (_, Ms)) = exists exists_alpha_sub_mtype Ms
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  | exists_alpha_sub_mtype (MRec _) = true
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fun exists_alpha_sub_mtype_fresh MAlpha = true
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  | exists_alpha_sub_mtype_fresh (MFun (_, V _, _)) = true
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  | exists_alpha_sub_mtype_fresh (MFun (_, _, M2)) =
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    exists_alpha_sub_mtype_fresh M2
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  | exists_alpha_sub_mtype_fresh (MPair (M1, M2)) =
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    exists exists_alpha_sub_mtype_fresh [M1, M2]
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  | exists_alpha_sub_mtype_fresh (MType (_, Ms)) =
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    exists exists_alpha_sub_mtype_fresh Ms
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  | exists_alpha_sub_mtype_fresh (MRec _) = true
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fun constr_mtype_for_binders z Ms =
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  fold_rev (fn M => curry3 MFun M (A Gen)) Ms (MRec z)
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fun repair_mtype _ _ MAlpha = MAlpha
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  | repair_mtype cache seen (MFun (M1, aa, M2)) =
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    MFun (repair_mtype cache seen M1, aa, repair_mtype cache seen M2)
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  | repair_mtype cache seen (MPair Mp) =
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    MPair (pairself (repair_mtype cache seen) Mp)
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  | repair_mtype cache seen (MType (s, Ms)) =
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    MType (s, maps (flatten_mtype o repair_mtype cache seen) Ms)
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  | repair_mtype cache seen (MRec (z as (s, _))) =
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    case AList.lookup (op =) cache z |> the of
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      MRec _ => MType (s, [])
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    | M => if member (op =) seen M then MType (s, [])
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           else repair_mtype cache (M :: seen) M
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fun repair_datatype_mcache cache =
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  let
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    fun repair_one (z, M) =
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      Unsynchronized.change cache
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          (AList.update (op =) (z, repair_mtype (!cache) [] M))
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  in List.app repair_one (rev (!cache)) end
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fun repair_constr_mcache dtype_cache constr_mcache =
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  let
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    fun repair_one (x, M) =
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      Unsynchronized.change constr_mcache
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          (AList.update (op =) (x, repair_mtype dtype_cache [] M))
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  in List.app repair_one (!constr_mcache) end
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fun is_fin_fun_supported_type @{typ prop} = true
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  | is_fin_fun_supported_type @{typ bool} = true
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  | is_fin_fun_supported_type (Type (@{type_name option}, _)) = true
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  | is_fin_fun_supported_type _ = false
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fun fin_fun_body _ _ (t as @{term False}) = SOME t
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  | fin_fun_body _ _ (t as Const (@{const_name None}, _)) = SOME t
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  | fin_fun_body dom_T ran_T
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                 ((t0 as Const (@{const_name If}, _))
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                  $ (t1 as Const (@{const_name HOL.eq}, _) $ Bound 0 $ t1')
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                  $ t2 $ t3) =
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    (if loose_bvar1 (t1', 0) then
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       NONE
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     else case fin_fun_body dom_T ran_T t3 of
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       NONE => NONE
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     | SOME t3 =>
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       SOME (t0 $ (Const (@{const_name is_unknown}, dom_T --> bool_T) $ t1')
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                $ (Const (@{const_name unknown}, ran_T)) $ (t0 $ t1 $ t2 $ t3)))
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  | fin_fun_body _ _ _ = NONE
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fun fresh_mfun_for_fun_type (mdata as {max_fresh, ...} : mdata) all_minus
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                            T1 T2 =
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  let
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    val M1 = fresh_mtype_for_type mdata all_minus T1
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    val M2 = fresh_mtype_for_type mdata all_minus T2
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    val aa = if not all_minus andalso exists_alpha_sub_mtype_fresh M1 andalso
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                is_fin_fun_supported_type (body_type T2) then
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               V (Unsynchronized.inc max_fresh)
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             else
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               A Gen
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  in (M1, aa, M2) end
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and fresh_mtype_for_type (mdata as {hol_ctxt as {ctxt, ...}, binarize, alpha_T,
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                                    datatype_mcache, constr_mcache, ...})
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                         all_minus =
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  let
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    fun do_type T =
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      if T = alpha_T then
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        MAlpha
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      else case T of
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        Type (@{type_name fun}, [T1, T2]) =>
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        MFun (fresh_mfun_for_fun_type mdata all_minus T1 T2)
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      | Type (@{type_name prod}, [T1, T2]) => MPair (pairself do_type (T1, T2))
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      | Type (z as (s, _)) =>
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        if could_exist_alpha_sub_mtype ctxt alpha_T T then
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          case AList.lookup (op =) (!datatype_mcache) z of
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            SOME M => M
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          | NONE =>
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            let
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              val _ = Unsynchronized.change datatype_mcache (cons (z, MRec z))
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              val xs = binarized_and_boxed_datatype_constrs hol_ctxt binarize T
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              val (all_Ms, constr_Ms) =
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                fold_rev (fn (_, T') => fn (all_Ms, constr_Ms) =>
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                             let
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                               val binder_Ms = map do_type (binder_types T')
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                               val new_Ms = filter exists_alpha_sub_mtype_fresh
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                                                   binder_Ms
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                               val constr_M = constr_mtype_for_binders z
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                                                                       binder_Ms
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                             in
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                               (union (op =) new_Ms all_Ms,
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                                constr_M :: constr_Ms)
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                             end)
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                         xs ([], [])
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              val M = MType (s, all_Ms)
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              val _ = Unsynchronized.change datatype_mcache
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                          (AList.update (op =) (z, M))
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              val _ = Unsynchronized.change constr_mcache
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                          (append (xs ~~ constr_Ms))
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            in
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              if forall (not o is_MRec o snd) (!datatype_mcache) then
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                (repair_datatype_mcache datatype_mcache;
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                 repair_constr_mcache (!datatype_mcache) constr_mcache;
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                 AList.lookup (op =) (!datatype_mcache) z |> the)
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              else
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                M
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            end
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        else
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          MType (s, [])
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      | _ => MType (simple_string_of_typ T, [])
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  in do_type end
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fun prodM_factors (MPair (M1, M2)) = maps prodM_factors [M1, M2]
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  | prodM_factors M = [M]
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fun curried_strip_mtype (MFun (M1, _, M2)) =
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    curried_strip_mtype M2 |>> append (prodM_factors M1)
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  | curried_strip_mtype M = ([], M)
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fun sel_mtype_from_constr_mtype s M =
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  let val (arg_Ms, dataM) = curried_strip_mtype M in
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    MFun (dataM, A Gen,
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          case sel_no_from_name s of ~1 => bool_M | n => nth arg_Ms n)
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  end
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fun mtype_for_constr (mdata as {hol_ctxt = {ctxt, ...}, alpha_T, constr_mcache,
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                                ...}) (x as (_, T)) =
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  if could_exist_alpha_sub_mtype ctxt alpha_T T then
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    case AList.lookup (op =) (!constr_mcache) x of
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      SOME M => M
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    | NONE => if T = alpha_T then
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                let val M = fresh_mtype_for_type mdata false T in
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                  (Unsynchronized.change constr_mcache (cons (x, M)); M)
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                end
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              else
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                (fresh_mtype_for_type mdata false (body_type T);
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                 AList.lookup (op =) (!constr_mcache) x |> the)
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  else
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    fresh_mtype_for_type mdata false T
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fun mtype_for_sel (mdata as {hol_ctxt, binarize, ...}) (x as (s, _)) =
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  x |> binarized_and_boxed_constr_for_sel hol_ctxt binarize
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    |> mtype_for_constr mdata |> sel_mtype_from_constr_mtype s
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fun resolve_annotation_atom asgs (V x) =
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    x |> AList.lookup (op =) asgs |> Option.map A |> the_default (V x)
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  | resolve_annotation_atom _ aa = aa
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fun resolve_mtype asgs =
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  let
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    fun aux MAlpha = MAlpha
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      | aux (MFun (M1, aa, M2)) =
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        MFun (aux M1, resolve_annotation_atom asgs aa, aux M2)
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      | aux (MPair Mp) = MPair (pairself aux Mp)
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      | aux (MType (s, Ms)) = MType (s, map aux Ms)
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      | aux (MRec z) = MRec z
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  in aux end
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datatype comp_op = Eq | Leq
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type comp = annotation_atom * annotation_atom * comp_op * var list
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type assign_clause = assign list
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type constraint_set = comp list * assign_clause list
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fun string_for_comp_op Eq = "="
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  | string_for_comp_op Leq = "\<le>"
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fun string_for_comp (aa1, aa2, cmp, xs) =
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  string_for_annotation_atom aa1 ^ " " ^ string_for_comp_op cmp ^
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  subscript_string_for_vars " \<and> " xs ^ " " ^ string_for_annotation_atom aa2
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fun string_for_assign_clause [] = "\<bot>"
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  | string_for_assign_clause asgs =
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    space_implode " \<or> " (map string_for_assign asgs)
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   366
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fun add_assign (x, a) clauses =
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  if exists (fn [(x', a')] => x = x' andalso a <> a' | _ => false) clauses then
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    NONE
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  else
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    SOME ([(x, a)] :: clauses)fun add_assign_conjunct _ NONE = NONE
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fun add_assign_disjunct _ NONE = NONE
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  | add_assign_disjunct asg (SOME asgs) = SOME (insert (op =) asg asgs)
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   375
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fun do_annotation_atom_comp Eq [] aa1 aa2 (cset as (comps, clauses)) =
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    (case (aa1, aa2) of
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       (A a1, A a2) => if a1 = a2 then SOME cset else NONE
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     | (V x1, A a2) =>
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       clauses |> add_assign (x1, a2) |> Option.map (pair comps)
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     | (V _, V _) => SOME (insert (op =) (aa1, aa2, Eq, []) comps, clauses)
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     | _ => do_annotation_atom_comp Eq [] aa2 aa1 cset)
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   383
  | do_annotation_atom_comp Leq [] aa1 aa2 (cset as (comps, clauses)) =
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   384
    (case (aa1, aa2) of
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       (_, A Gen) => SOME cset
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     | (A Gen, A _) => NONE
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     | (A a1, A a2) => if a1 = a2 then SOME cset else NONE
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     | _ => SOME (insert (op =) (aa1, aa2, Leq, []) comps, clauses))
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  | do_annotation_atom_comp cmp xs aa1 aa2 (comps, clauses) =
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   390
    SOME (insert (op =) (aa1, aa2, cmp, xs) comps, clauses)
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   392
fun add_annotation_atom_comp cmp xs aa1 aa2
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   393
                             ((comps, clauses) : constraint_set) =
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  (trace_msg (fn () => "*** Add " ^ string_for_annotation_atom aa1 ^ " " ^
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   395
                       string_for_comp_op cmp ^ " " ^
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   396
                       string_for_annotation_atom aa2);
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   397
   case do_annotation_atom_comp cmp xs aa1 aa2 (comps, clauses) of
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     NONE => (trace_msg (K "**** Unsolvable"); raise UNSOLVABLE ())
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   399
   | SOME cset => cset)
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   400
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   401
fun do_mtype_comp _ _ _ _ NONE = NONE
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   402
  | do_mtype_comp _ _ MAlpha MAlpha cset = cset
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   403
  | do_mtype_comp Eq xs (MFun (M11, aa1, M12)) (MFun (M21, aa2, M22))
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   404
                  (SOME cset) =
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   405
    cset |> do_annotation_atom_comp Eq xs aa1 aa2
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   406
         |> do_mtype_comp Eq xs M11 M21 |> do_mtype_comp Eq xs M12 M22
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   407
  | do_mtype_comp Leq xs (MFun (M11, aa1, M12)) (MFun (M21, aa2, M22))
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   408
                  (SOME cset) =
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   409
    (if exists_alpha_sub_mtype M11 then
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   410
       cset |> do_annotation_atom_comp Leq xs aa1 aa2
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   411
            |> do_mtype_comp Leq xs M21 M11
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   412
            |> (case aa2 of
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   413
                  A Gen => I
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   414
                | A _ => do_mtype_comp Leq xs M11 M21
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   415
                | V x => do_mtype_comp Leq (x :: xs) M11 M21)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   416
     else
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   417
       SOME cset)
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   418
    |> do_mtype_comp Leq xs M12 M22
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   419
  | do_mtype_comp cmp xs (M1 as MPair (M11, M12)) (M2 as MPair (M21, M22))
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   420
                  cset =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   421
    (cset |> fold (uncurry (do_mtype_comp cmp xs)) [(M11, M21), (M12, M22)]
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   422
     handle Library.UnequalLengths =>
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   423
            raise MTYPE ("Nitpick_Mono.do_mtype_comp", [M1, M2], []))
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   424
  | do_mtype_comp _ _ (MType _) (MType _) cset =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   425
    cset (* no need to compare them thanks to the cache *)
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   426
  | do_mtype_comp cmp _ M1 M2 _ =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   427
    raise MTYPE ("Nitpick_Mono.do_mtype_comp (" ^ string_for_comp_op cmp ^ ")",
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   428
                 [M1, M2], [])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   429
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   430
fun add_mtype_comp cmp M1 M2 cset =
40991
902ad76994d5 proper handling of assignment disjunctions vs. conjunctions
blanchet
parents: 40990
diff changeset
   431
  (trace_msg (fn () => "*** Add " ^ string_for_mtype M1 ^ " " ^
902ad76994d5 proper handling of assignment disjunctions vs. conjunctions
blanchet
parents: 40990
diff changeset
   432
                       string_for_comp_op cmp ^ " " ^ string_for_mtype M2);
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   433
   case SOME cset |> do_mtype_comp cmp [] M1 M2 of
40991
902ad76994d5 proper handling of assignment disjunctions vs. conjunctions
blanchet
parents: 40990
diff changeset
   434
     NONE => (trace_msg (K "**** Unsolvable"); raise UNSOLVABLE ())
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   435
   | SOME cset => cset)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   436
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   437
val add_mtypes_equal = add_mtype_comp Eq
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   438
val add_is_sub_mtype = add_mtype_comp Leq
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   439
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   440
fun do_notin_mtype_fv _ _ _ NONE = NONE
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   441
  | do_notin_mtype_fv Minus _ MAlpha cset = cset
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   442
  | do_notin_mtype_fv Plus [] MAlpha _ = NONE
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   443
  | do_notin_mtype_fv Plus [(x, a)] MAlpha (SOME clauses) =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   444
    clauses |> add_assign (x, a)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   445
  | do_notin_mtype_fv Plus clause MAlpha (SOME clauses) =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   446
    SOME (insert (op =) clause clauses)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   447
  | do_notin_mtype_fv sn clause (MFun (M1, A a, M2)) cset =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   448
    cset |> (if a <> Gen andalso sn = Plus then do_notin_mtype_fv Plus clause M1
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   449
             else I)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   450
         |> (if a = Gen orelse sn = Plus then do_notin_mtype_fv Minus clause M1
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   451
             else I)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   452
         |> do_notin_mtype_fv sn clause M2
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   453
  | do_notin_mtype_fv Plus clause (MFun (M1, V x, M2)) cset =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   454
    cset |> (case add_assign_disjunct (x, Gen) (SOME clause) of
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   455
               NONE => I
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   456
             | SOME clause' => do_notin_mtype_fv Plus clause' M1)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   457
         |> do_notin_mtype_fv Minus clause M1
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   458
         |> do_notin_mtype_fv Plus clause M2
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   459
  | do_notin_mtype_fv Minus clause (MFun (M1, V x, M2)) cset =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   460
    cset |> (case fold (fn a => add_assign_disjunct (x, a)) [Fls, Tru]
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   461
                       (SOME clause) of
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   462
               NONE => I
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   463
             | SOME clause' => do_notin_mtype_fv Plus clause' M1)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   464
         |> do_notin_mtype_fv Minus clause M2
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   465
  | do_notin_mtype_fv sn clause (MPair (M1, M2)) cset =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   466
    cset |> fold (do_notin_mtype_fv sn clause) [M1, M2]
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   467
  | do_notin_mtype_fv sn clause (MType (_, Ms)) cset =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   468
    cset |> fold (do_notin_mtype_fv sn clause) Ms
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   469
 | do_notin_mtype_fv _ _ M _ =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   470
   raise MTYPE ("Nitpick_Mono.do_notin_mtype_fv", [M], [])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   471
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   472
fun add_notin_mtype_fv sn M ((comps, clauses) : constraint_set) =
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   473
  (trace_msg (fn () => "*** Add " ^ string_for_mtype M ^ " is " ^
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   474
                       (case sn of Minus => "concrete" | Plus => "complete"));
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   475
   case SOME clauses |> do_notin_mtype_fv sn [] M of
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   476
     NONE => (trace_msg (K "**** Unsolvable"); raise UNSOLVABLE ())
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   477
   | SOME clauses => (comps, clauses))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   478
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   479
val add_mtype_is_concrete = add_notin_mtype_fv Minus
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   480
val add_mtype_is_complete = add_notin_mtype_fv Plus
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   481
40986
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   482
val bool_table =
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   483
  [(Gen, (false, false)),
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   484
   (New, (false, true)),
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   485
   (Fls, (true, false)),
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   486
   (Tru, (true, true))]
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   487
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   488
fun fst_var n = 2 * n
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   489
fun snd_var n = 2 * n + 1
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   490
40986
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   491
val bools_from_annotation = AList.lookup (op =) bool_table #> the
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   492
val annotation_from_bools = AList.find (op =) bool_table #> the_single
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   493
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   494
fun prop_for_bool b = if b then PL.True else PL.False
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   495
fun prop_for_bool_var_equality (v1, v2) =
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   496
  PL.And (PL.Or (PL.BoolVar v1, PL.Not (PL.BoolVar v2)),
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   497
          PL.Or (PL.Not (PL.BoolVar v1), PL.BoolVar v2))
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   498
fun prop_for_assign (x, a) =
40986
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   499
  let val (b1, b2) = bools_from_annotation a in
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   500
    PL.And (PL.BoolVar (fst_var x) |> not b1 ? PL.Not,
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   501
            PL.BoolVar (snd_var x) |> not b2 ? PL.Not)
40986
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   502
  end
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   503
fun prop_for_atom_assign (A a', a) = prop_for_bool (a = a')
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   504
  | prop_for_atom_assign (V x, a) = prop_for_assign (x, a)
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   505
fun prop_for_atom_equality (aa1, A a2) = prop_for_atom_assign (aa1, a2)
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   506
  | prop_for_atom_equality (A a1, aa2) = prop_for_atom_assign (aa2, a1)
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   507
  | prop_for_atom_equality (V x1, V x2) =
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   508
    PL.And (prop_for_bool_var_equality (pairself fst_var (x1, x2)),
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   509
            prop_for_bool_var_equality (pairself snd_var (x1, x2)))
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   510
val prop_for_assign_clause = PL.exists o map prop_for_assign
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   511
fun prop_for_exists_var_assign xs a =
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   512
  PL.exists (map (fn x => prop_for_assign (x, a)) xs)
40988
blanchet
parents: 40987
diff changeset
   513
fun prop_for_comp (aa1, aa2, Eq, []) =
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   514
    PL.SAnd (prop_for_comp (aa1, aa2, Leq, []),
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   515
             prop_for_comp (aa2, aa1, Leq, []))
40988
blanchet
parents: 40987
diff changeset
   516
  | prop_for_comp (aa1, aa2, Leq, []) =
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   517
    PL.SOr (prop_for_atom_equality (aa1, aa2), prop_for_atom_assign (aa2, Gen))
40988
blanchet
parents: 40987
diff changeset
   518
  | prop_for_comp (aa1, aa2, cmp, xs) =
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   519
    PL.SOr (prop_for_exists_var_assign xs Gen,
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   520
            prop_for_comp (aa1, aa2, cmp, []))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   521
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   522
(* The "calculus" parameter may be 1, 2, or 3, corresponding approximately to
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   523
   the M1, M2, and M3 calculi from Blanchette & Krauss 2011. *)
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   524
fun variable_domain calculus =
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   525
  [Gen] @ (if calculus > 1 then [Fls] else [])
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   526
  @ (if calculus > 2 then [New, Tru] else [])
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   527
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   528
fun prop_for_variable_domain calculus x =
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   529
  PL.exists (map (curry prop_for_assign x) (variable_domain calculus))
40986
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   530
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   531
fun extract_assigns max_var assigns asgs =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   532
  fold (fn x => fn accum =>
40989
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   533
           if AList.defined (op =) asgs x then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   534
             accum
40986
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   535
           else case (fst_var x, snd_var x) |> pairself assigns of
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   536
             (NONE, NONE) => accum
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   537
           | bp => (x, annotation_from_bools (pairself (the_default false) bp))
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   538
                   :: accum)
40989
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   539
       (max_var downto 1) asgs
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   540
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   541
fun print_problem calculus comps clauses =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   542
  trace_msg (fn () =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   543
                "*** Problem (calculus M" ^ string_of_int calculus ^ "):\n" ^
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   544
                cat_lines (map string_for_comp comps @
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   545
                           map string_for_assign_clause clauses))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   546
40989
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   547
fun print_solution asgs =
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   548
  trace_msg (fn () => "*** Solution:\n" ^
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   549
      (asgs
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   550
       |> map swap
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   551
       |> AList.group (op =)
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   552
       |> map (fn (a, xs) => string_for_annotation a ^ ": " ^
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   553
                             string_for_vars ", " xs)
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   554
       |> space_implode "\n"))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   555
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   556
fun solve calculus max_var (comps, clauses) =
40146
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   557
  let
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   558
    val asgs = map_filter (fn [asg] => SOME asg | _ => NONE) clauses
40146
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   559
    fun do_assigns assigns =
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   560
      SOME (extract_assigns max_var assigns asgs |> tap print_solution)
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   561
    val _ = print_problem calculus comps clauses
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   562
    val prop =
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   563
      map prop_for_comp comps @
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   564
      map prop_for_assign_clause clauses @
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   565
      (if calculus < 3 then
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   566
         map (prop_for_variable_domain calculus) (1 upto max_var)
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   567
       else
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   568
         [])
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   569
      |> PL.all
40146
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   570
  in
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   571
    if PL.eval (K false) prop then
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   572
      do_assigns (K (SOME false))
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   573
    else if PL.eval (K true) prop then
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   574
      do_assigns (K (SOME true))
40146
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   575
    else
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   576
      let
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   577
        (* use the first ML solver (to avoid startup overhead) *)
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   578
        val solvers = !SatSolver.solvers
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   579
                      |> filter (member (op =) ["dptsat", "dpll"] o fst)
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   580
      in
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   581
        case snd (hd solvers) prop of
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   582
          SatSolver.SATISFIABLE assigns => do_assigns assigns
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   583
        | _ => (trace_msg (K "*** Unsolvable"); NONE)
40146
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   584
      end
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   585
  end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   586
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   587
type mtype_schema = mtyp * constraint_set
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   588
type mtype_context =
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   589
  {bound_Ts: typ list,
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   590
   bound_Ms: mtyp list,
40987
7d52af07bff1 added frame component to Gamma in monotonicity calculus
blanchet
parents: 40986
diff changeset
   591
   bound_frame: (int * annotation_atom) list,
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   592
   frees: (styp * mtyp) list,
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   593
   consts: (styp * mtyp) list}
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   594
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   595
val string_for_frame =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   596
  commas o map (fn (j, aa) => "#" ^ string_of_int j ^ " |-> " ^
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   597
                              string_for_annotation_atom aa)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   598
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   599
type accumulator = mtype_context * constraint_set
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   600
40987
7d52af07bff1 added frame component to Gamma in monotonicity calculus
blanchet
parents: 40986
diff changeset
   601
val initial_gamma =
7d52af07bff1 added frame component to Gamma in monotonicity calculus
blanchet
parents: 40986
diff changeset
   602
  {bound_Ts = [], bound_Ms = [], bound_frame = [], frees = [], consts = []}
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   603
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   604
fun push_bound aa T M {bound_Ts, bound_Ms, bound_frame, frees, consts} =
40987
7d52af07bff1 added frame component to Gamma in monotonicity calculus
blanchet
parents: 40986
diff changeset
   605
  {bound_Ts = T :: bound_Ts, bound_Ms = M :: bound_Ms,
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   606
   bound_frame = (length bound_Ts, aa) :: bound_frame, frees = frees,
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   607
   consts = consts}
40987
7d52af07bff1 added frame component to Gamma in monotonicity calculus
blanchet
parents: 40986
diff changeset
   608
fun pop_bound {bound_Ts, bound_Ms, bound_frame, frees, consts} =
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   609
  {bound_Ts = tl bound_Ts, bound_Ms = tl bound_Ms,
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   610
   bound_frame = bound_frame
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   611
                 |> filter_out (fn (j, _) => j = length bound_Ts - 1),
40987
7d52af07bff1 added frame component to Gamma in monotonicity calculus
blanchet
parents: 40986
diff changeset
   612
   frees = frees, consts = consts}
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   613
  handle List.Empty => initial_gamma (* FIXME: needed? *)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   614
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   615
fun set_frame bound_frame ({bound_Ts, bound_Ms, frees, consts, ...}
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   616
                           : mtype_context) =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   617
  {bound_Ts = bound_Ts, bound_Ms = bound_Ms, bound_frame = bound_frame,
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   618
   frees = frees, consts = consts}
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   619
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   620
(* FIXME: make sure tracing messages are complete *)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   621
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   622
fun add_comp_frame a cmp frame =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   623
  (trace_msg (fn () => "*** Add " ^ string_for_annotation a ^
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   624
                       string_for_comp_op cmp ^ " frame " ^
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   625
                       string_for_frame frame);
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   626
   fold (add_annotation_atom_comp cmp [] (A a) o snd) frame)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   627
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   628
fun add_bound_frame j frame =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   629
  let
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   630
    val (new_frame, gen_frame) = List.partition (curry (op =) j o fst) frame
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   631
  in
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   632
    add_comp_frame New Leq new_frame
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   633
    #> add_comp_frame Gen Eq gen_frame
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   634
  end
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   635
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   636
fun fresh_imp_frame ({max_fresh, ...} : mdata) sn =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   637
  let
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   638
    fun do_var (j, A Fls) = (j, A (case sn of Plus => Fls | Minus => Tru))
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   639
      | do_var (j, A Gen) = (j, A Gen)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   640
      | do_var (j, _) = (j, V (Unsynchronized.inc max_fresh))
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   641
  in map do_var end
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   642
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   643
fun add_imp_frames res_frame frame1 frame2 = I
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   644
(*###
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   645
  let
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   646
    fun do_var_pair (j, aa0) (_, aa1) (_, aa2) =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   647
  in map3 do_var_pair res_frame frame1 frame2 end
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   648
*)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   649
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39345
diff changeset
   650
fun consider_term (mdata as {hol_ctxt = {thy, ctxt, stds, ...}, alpha_T,
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39345
diff changeset
   651
                             max_fresh, ...}) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   652
  let
37476
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   653
    fun is_enough_eta_expanded t =
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   654
      case strip_comb t of
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39345
diff changeset
   655
        (Const x, ts) => the_default 0 (arity_of_built_in_const thy stds x)
37476
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   656
        <= length ts
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   657
      | _ => true
35672
ff484d4f2e14 more work on Nitpick's finite sets
blanchet
parents: 35671
diff changeset
   658
    val mtype_for = fresh_mtype_for_type mdata false
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   659
    fun plus_set_mtype_for_dom M =
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   660
      MFun (M, A (if exists_alpha_sub_mtype M then Fls else Gen), bool_M)
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   661
    fun do_all T (gamma, cset) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   662
      let
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   663
        val abs_M = mtype_for (domain_type (domain_type T))
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   664
        val body_M = mtype_for (body_type T)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   665
      in
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   666
        (MFun (MFun (abs_M, A Gen, body_M), A Gen, body_M),
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   667
         (gamma, cset |> add_mtype_is_complete abs_M))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   668
      end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   669
    fun do_equals T (gamma, cset) =
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   670
      let val M = mtype_for (domain_type T) in
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   671
        (MFun (M, A Gen, MFun (M, V (Unsynchronized.inc max_fresh),
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   672
                               mtype_for (nth_range_type 2 T))),
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   673
         (gamma, cset |> add_mtype_is_concrete M))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   674
      end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   675
    fun do_robust_set_operation T (gamma, cset) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   676
      let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   677
        val set_T = domain_type T
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   678
        val M1 = mtype_for set_T
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   679
        val M2 = mtype_for set_T
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   680
        val M3 = mtype_for set_T
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   681
      in
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   682
        (MFun (M1, A Gen, MFun (M2, A Gen, M3)),
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   683
         (gamma, cset |> add_is_sub_mtype M1 M3 |> add_is_sub_mtype M2 M3))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   684
      end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   685
    fun do_fragile_set_operation T (gamma, cset) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   686
      let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   687
        val set_T = domain_type T
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   688
        val set_M = mtype_for set_T
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   689
        fun custom_mtype_for (T as Type (@{type_name fun}, [T1, T2])) =
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   690
            if T = set_T then set_M
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   691
            else MFun (custom_mtype_for T1, A Gen, custom_mtype_for T2)
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   692
          | custom_mtype_for T = mtype_for T
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   693
      in
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   694
        (custom_mtype_for T, (gamma, cset |> add_mtype_is_concrete set_M))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   695
      end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   696
    fun do_pair_constr T accum =
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   697
      case mtype_for (nth_range_type 2 T) of
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   698
        M as MPair (a_M, b_M) =>
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   699
        (MFun (a_M, A Gen, MFun (b_M, A Gen, M)), accum)
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   700
      | M => raise MTYPE ("Nitpick_Mono.consider_term.do_pair_constr", [M], [])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   701
    fun do_nth_pair_sel n T =
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   702
      case mtype_for (domain_type T) of
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   703
        M as MPair (a_M, b_M) =>
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   704
        pair (MFun (M, A Gen, if n = 0 then a_M else b_M))
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   705
      | M => raise MTYPE ("Nitpick_Mono.consider_term.do_nth_pair_sel", [M], [])
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   706
    fun do_bounded_quantifier t0 abs_s abs_T connective_t bound_t body_t accum =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   707
      let
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   708
        val abs_M = mtype_for abs_T
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   709
        val aa = V (Unsynchronized.inc max_fresh)
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   710
        val (bound_m, accum) =
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   711
          accum |>> push_bound aa abs_T abs_M |> do_term bound_t
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   712
        val expected_bound_M = plus_set_mtype_for_dom abs_M
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   713
        val (body_m, accum) =
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   714
          accum ||> add_mtypes_equal expected_bound_M (mtype_of_mterm bound_m)
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   715
                |> do_term body_t ||> apfst pop_bound
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   716
        val bound_M = mtype_of_mterm bound_m
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   717
        val (M1, aa', _) = dest_MFun bound_M
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   718
      in
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   719
        (MApp (MRaw (t0, MFun (bound_M, aa, bool_M)),
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   720
               MAbs (abs_s, abs_T, M1, aa',
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   721
                     MApp (MApp (MRaw (connective_t,
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   722
                                       mtype_for (fastype_of connective_t)),
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   723
                                 MApp (bound_m, MRaw (Bound 0, M1))),
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   724
                           body_m))), accum)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   725
      end
40987
7d52af07bff1 added frame component to Gamma in monotonicity calculus
blanchet
parents: 40986
diff changeset
   726
    and do_term t (accum as ({bound_Ts, bound_Ms, bound_frame, frees, consts},
7d52af07bff1 added frame component to Gamma in monotonicity calculus
blanchet
parents: 40986
diff changeset
   727
                             cset)) =
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   728
      (trace_msg (fn () => "  \<Gamma> \<turnstile> " ^
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   729
                           Syntax.string_of_term ctxt t ^ " : _?");
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   730
       case t of
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   731
         @{const False} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   732
         (MRaw (t, bool_M), accum ||> add_comp_frame Fls Leq bound_frame)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   733
       | @{const True} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   734
         (MRaw (t, bool_M), accum ||> add_comp_frame Tru Leq bound_frame)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   735
       | Const (x as (s, T)) =>
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   736
         (case AList.lookup (op =) consts x of
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   737
            SOME M => (M, accum)
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   738
          | NONE =>
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   739
            if not (could_exist_alpha_subtype alpha_T T) then
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   740
              (mtype_for T, accum)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   741
            else case s of
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   742
              @{const_name all} => do_all T accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   743
            | @{const_name "=="} => do_equals T accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   744
            | @{const_name All} => do_all T accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   745
            | @{const_name Ex} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   746
              let val set_T = domain_type T in
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   747
                do_term (Abs (Name.uu, set_T,
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   748
                              @{const Not} $ (HOLogic.mk_eq
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   749
                                  (Abs (Name.uu, domain_type set_T,
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   750
                                        @{const False}),
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   751
                                   Bound 0)))) accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   752
                |>> mtype_of_mterm
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   753
              end
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   754
            | @{const_name HOL.eq} => do_equals T accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   755
            | @{const_name The} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   756
              (trace_msg (K "*** The"); raise UNSOLVABLE ())
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   757
            | @{const_name Eps} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   758
              (trace_msg (K "*** Eps"); raise UNSOLVABLE ())
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   759
            | @{const_name If} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   760
              do_robust_set_operation (range_type T) accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   761
              |>> curry3 MFun bool_M (A Gen)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   762
            | @{const_name Pair} => do_pair_constr T accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   763
            | @{const_name fst} => do_nth_pair_sel 0 T accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   764
            | @{const_name snd} => do_nth_pair_sel 1 T accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   765
            | @{const_name Id} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   766
              (MFun (mtype_for (domain_type T), A Gen, bool_M), accum)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   767
            | @{const_name converse} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   768
              let
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   769
                val x = Unsynchronized.inc max_fresh
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   770
                fun mtype_for_set T =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   771
                  MFun (mtype_for (domain_type T), V x, bool_M)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   772
                val ab_set_M = domain_type T |> mtype_for_set
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   773
                val ba_set_M = range_type T |> mtype_for_set
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   774
              in (MFun (ab_set_M, A Gen, ba_set_M), accum) end
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   775
            | @{const_name trancl} => do_fragile_set_operation T accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   776
            | @{const_name rel_comp} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   777
              let
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   778
                val x = Unsynchronized.inc max_fresh
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   779
                fun mtype_for_set T =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   780
                  MFun (mtype_for (domain_type T), V x, bool_M)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   781
                val bc_set_M = domain_type T |> mtype_for_set
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   782
                val ab_set_M = domain_type (range_type T) |> mtype_for_set
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   783
                val ac_set_M = nth_range_type 2 T |> mtype_for_set
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   784
              in
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   785
                (MFun (bc_set_M, A Gen, MFun (ab_set_M, A Gen, ac_set_M)),
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   786
                 accum)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   787
              end
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   788
            | @{const_name image} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   789
              let
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   790
                val a_M = mtype_for (domain_type (domain_type T))
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   791
                val b_M = mtype_for (range_type (domain_type T))
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   792
              in
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   793
                (MFun (MFun (a_M, A Gen, b_M), A Gen,
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   794
                       MFun (plus_set_mtype_for_dom a_M, A Gen,
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   795
                             plus_set_mtype_for_dom b_M)), accum)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   796
              end
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   797
            | @{const_name finite} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   798
              let val M1 = mtype_for (domain_type (domain_type T)) in
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   799
                (MFun (plus_set_mtype_for_dom M1, A Gen, bool_M), accum)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   800
              end
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   801
            | @{const_name Sigma} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   802
              let
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   803
                val x = Unsynchronized.inc max_fresh
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   804
                fun mtype_for_set T =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   805
                  MFun (mtype_for (domain_type T), V x, bool_M)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   806
                val a_set_T = domain_type T
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   807
                val a_M = mtype_for (domain_type a_set_T)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   808
                val b_set_M =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   809
                  mtype_for_set (range_type (domain_type (range_type T)))
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   810
                val a_set_M = mtype_for_set a_set_T
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   811
                val a_to_b_set_M = MFun (a_M, A Gen, b_set_M)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   812
                val ab_set_M = mtype_for_set (nth_range_type 2 T)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   813
              in
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   814
                (MFun (a_set_M, A Gen, MFun (a_to_b_set_M, A Gen, ab_set_M)),
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   815
                 accum)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   816
              end
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   817
            | _ =>
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   818
              if s = @{const_name safe_The} then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   819
                let
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   820
                  val a_set_M = mtype_for (domain_type T)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   821
                  val a_M = dest_MFun a_set_M |> #1
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   822
                in (MFun (a_set_M, A Gen, a_M), accum) end
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   823
              else if s = @{const_name ord_class.less_eq} andalso
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   824
                      is_set_type (domain_type T) then
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   825
                do_fragile_set_operation T accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   826
              else if is_sel s then
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   827
                (mtype_for_sel mdata x, accum)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   828
              else if is_constr ctxt stds x then
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   829
                (mtype_for_constr mdata x, accum)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   830
              else if is_built_in_const thy stds x then
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   831
                (fresh_mtype_for_type mdata true T, accum)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   832
              else
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   833
                let val M = mtype_for T in
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   834
                  (M, ({bound_Ts = bound_Ts, bound_Ms = bound_Ms,
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   835
                        bound_frame = bound_frame, frees = frees,
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   836
                        consts = (x, M) :: consts}, cset))
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   837
                end)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   838
           |>> curry MRaw t
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   839
           ||> apsnd (add_comp_frame Gen Eq bound_frame)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   840
         | Free (x as (_, T)) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   841
           (case AList.lookup (op =) frees x of
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   842
              SOME M => (M, accum)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   843
            | NONE =>
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   844
              let val M = mtype_for T in
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   845
                (M, ({bound_Ts = bound_Ts, bound_Ms = bound_Ms,
40987
7d52af07bff1 added frame component to Gamma in monotonicity calculus
blanchet
parents: 40986
diff changeset
   846
                      bound_frame = bound_frame, frees = (x, M) :: frees,
7d52af07bff1 added frame component to Gamma in monotonicity calculus
blanchet
parents: 40986
diff changeset
   847
                      consts = consts}, cset))
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   848
              end)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   849
           |>> curry MRaw t ||> apsnd (add_comp_frame Gen Eq bound_frame)
38179
7207321df8af make tracing monotonicity easier
blanchet
parents: 37704
diff changeset
   850
         | Var _ => (trace_msg (K "*** Var"); raise UNSOLVABLE ())
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   851
         | Bound j =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   852
           (MRaw (t, nth bound_Ms j),
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   853
            accum ||> add_bound_frame (length bound_Ts - j - 1) bound_frame)
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   854
         | Abs (s, T, t') =>
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   855
           (case fin_fun_body T (fastype_of1 (T :: bound_Ts, t')) t' of
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   856
              SOME t' =>
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   857
              let
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   858
                val M = mtype_for T
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   859
                val (m', accum) = do_term t' (accum |>> push_bound (A Fls) T M)
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   860
              in (MAbs (s, T, M, A Fls, m'), accum |>> pop_bound) end
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   861
            | NONE =>
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   862
              ((case t' of
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   863
                  t1' $ Bound 0 =>
37476
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   864
                  if not (loose_bvar1 (t1', 0)) andalso
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   865
                     is_enough_eta_expanded t1' then
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   866
                    do_term (incr_boundvars ~1 t1') accum
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   867
                  else
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   868
                    raise SAME ()
38864
4abe644fcea5 formerly unnamed infix equality now named HOL.eq
haftmann
parents: 38795
diff changeset
   869
                | (t11 as Const (@{const_name HOL.eq}, _)) $ Bound 0 $ t13 =>
37476
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   870
                  if not (loose_bvar1 (t13, 0)) then
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   871
                    do_term (incr_boundvars ~1 (t11 $ t13)) accum
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   872
                  else
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   873
                    raise SAME ()
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   874
                | _ => raise SAME ())
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   875
               handle SAME () =>
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   876
                      let
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   877
                        val M = mtype_for T
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   878
                        val aa = V (Unsynchronized.inc max_fresh)
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   879
                        val (m', accum) =
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   880
                          do_term t' (accum |>> push_bound aa T M)
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   881
                      in (MAbs (s, T, M, aa, m'), accum |>> pop_bound) end))
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   882
         | (t0 as @{const implies}) $ t1 $ t2 =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   883
           let
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   884
             val frame1 = fresh_imp_frame mdata Minus bound_frame
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   885
             val frame2 = fresh_imp_frame mdata Plus bound_frame
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   886
             val (m0, accum) = accum |> do_term t0
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   887
             val (m1, accum) = accum |>> set_frame frame1 |> do_term t1
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   888
             val (m2, accum) = accum |>> set_frame frame2 |> do_term t2
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   889
           in
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   890
             (MApp (MApp (m0, m1), m2),
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   891
              accum |>> set_frame bound_frame
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   892
                    ||> add_imp_frames bound_frame frame1 frame2)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   893
           end
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   894
         | (t0 as Const (@{const_name All}, _))
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   895
           $ Abs (s', T', (t10 as @{const HOL.implies})
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   896
                          $ (t11 $ Bound 0) $ t12) =>
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   897
           do_bounded_quantifier t0 s' T' t10 t11 t12 accum
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   898
         | (t0 as Const (@{const_name Ex}, _))
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   899
           $ Abs (s', T', (t10 as @{const HOL.conj})
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   900
                          $ (t11 $ Bound 0) $ t12) =>
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   901
           do_bounded_quantifier t0 s' T' t10 t11 t12 accum
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   902
         | Const (@{const_name Let}, _) $ t1 $ t2 =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   903
           do_term (betapply (t2, t1)) accum
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   904
         | t1 $ t2 =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   905
           let
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   906
             val (m1, accum) = do_term t1 accum
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   907
             val (m2, accum) = do_term t2 accum
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   908
           in
35812
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
   909
             let
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
   910
               val M11 = mtype_of_mterm m1 |> dest_MFun |> #1
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
   911
               val M2 = mtype_of_mterm m2
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
   912
             in (MApp (m1, m2), accum ||> add_is_sub_mtype M2 M11) end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   913
           end)
38179
7207321df8af make tracing monotonicity easier
blanchet
parents: 37704
diff changeset
   914
        |> tap (fn (m, _) => trace_msg (fn () => "  \<Gamma> \<turnstile> " ^
7207321df8af make tracing monotonicity easier
blanchet
parents: 37704
diff changeset
   915
                                                 string_for_mterm ctxt m))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   916
  in do_term end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   917
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   918
fun force_minus_funs 0 _ = I
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   919
  | force_minus_funs n (M as MFun (M1, _, M2)) =
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   920
    add_mtypes_equal M (MFun (M1, A Gen, M2)) #> force_minus_funs (n - 1) M2
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   921
  | force_minus_funs _ M =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   922
    raise MTYPE ("Nitpick_Mono.force_minus_funs", [M], [])
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   923
fun consider_general_equals mdata def (x as (_, T)) t1 t2 accum =
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   924
  let
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   925
    val (m1, accum) = consider_term mdata t1 accum
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   926
    val (m2, accum) = consider_term mdata t2 accum
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   927
    val M1 = mtype_of_mterm m1
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   928
    val M2 = mtype_of_mterm m2
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   929
    val accum = accum ||> add_mtypes_equal M1 M2
35672
ff484d4f2e14 more work on Nitpick's finite sets
blanchet
parents: 35671
diff changeset
   930
    val body_M = fresh_mtype_for_type mdata false (nth_range_type 2 T)
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   931
    val m = MApp (MApp (MRaw (Const x,
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   932
                           MFun (M1, A Gen, MFun (M2, A Gen, body_M))), m1), m2)
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   933
  in
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   934
    (m, if def then
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   935
          let val (head_m, arg_ms) = strip_mcomb m1 in
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   936
            accum ||> force_minus_funs (length arg_ms) (mtype_of_mterm head_m)
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   937
          end
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   938
        else
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   939
          accum)
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   940
  end
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   941
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   942
fun consider_general_formula (mdata as {hol_ctxt = {ctxt, ...}, ...}) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   943
  let
35672
ff484d4f2e14 more work on Nitpick's finite sets
blanchet
parents: 35671
diff changeset
   944
    val mtype_for = fresh_mtype_for_type mdata false
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   945
    val do_term = consider_term mdata
35812
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
   946
    fun do_formula sn t accum =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   947
        let
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   948
          fun do_quantifier (quant_x as (quant_s, _)) abs_s abs_T body_t =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   949
            let
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   950
              val abs_M = mtype_for abs_T
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   951
              val a = Gen (* FIXME: strengthen *)
34982
7b8c366e34a2 added support for nonstandard models to Nitpick (based on an idea by Koen Claessen) and did other fixes to Nitpick
blanchet
parents: 34936
diff changeset
   952
              val side_cond = ((sn = Minus) = (quant_s = @{const_name Ex}))
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   953
              val (body_m, accum) =
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   954
                accum ||> side_cond ? add_mtype_is_complete abs_M
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   955
                      |>> push_bound (A a) abs_T abs_M |> do_formula sn body_t
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   956
              val body_M = mtype_of_mterm body_m
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   957
            in
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   958
              (MApp (MRaw (Const quant_x,
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   959
                           MFun (MFun (abs_M, A Gen, body_M), A Gen, body_M)),
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   960
                     MAbs (abs_s, abs_T, abs_M, A Gen, body_m)),
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   961
               accum |>> pop_bound)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   962
            end
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   963
          fun do_equals x t1 t2 =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   964
            case sn of
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   965
              Plus => do_term t accum
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   966
            | Minus => consider_general_equals mdata false x t1 t2 accum
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   967
        in
38179
7207321df8af make tracing monotonicity easier
blanchet
parents: 37704
diff changeset
   968
          (trace_msg (fn () => "  \<Gamma> \<turnstile> " ^
7207321df8af make tracing monotonicity easier
blanchet
parents: 37704
diff changeset
   969
                               Syntax.string_of_term ctxt t ^ " : o\<^sup>" ^
7207321df8af make tracing monotonicity easier
blanchet
parents: 37704
diff changeset
   970
                               string_for_sign sn ^ "?");
37704
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   971
           case t of
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   972
             Const (x as (@{const_name all}, _)) $ Abs (s1, T1, t1) =>
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   973
             do_quantifier x s1 T1 t1
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   974
           | Const (x as (@{const_name "=="}, _)) $ t1 $ t2 => do_equals x t1 t2
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   975
           | @{const Trueprop} $ t1 =>
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   976
             let val (m1, accum) = do_formula sn t1 accum in
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   977
               (MApp (MRaw (@{const Trueprop}, mtype_for (bool_T --> prop_T)),
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   978
                      m1), accum)
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   979
             end
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   980
           | @{const Not} $ t1 =>
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   981
             let val (m1, accum) = do_formula (negate_sign sn) t1 accum in
37704
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   982
               (MApp (MRaw (@{const Not}, mtype_for (bool_T --> bool_T)), m1),
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   983
                accum)
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   984
             end
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   985
           | Const (x as (@{const_name All}, _)) $ Abs (s1, T1, t1) =>
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   986
             do_quantifier x s1 T1 t1
39345
062c10ff848c remove unreferenced identifiers
blanchet
parents: 39342
diff changeset
   987
           | Const (x0 as (@{const_name Ex}, T0))
37704
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   988
             $ (t1 as Abs (s1, T1, t1')) =>
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   989
             (case sn of
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   990
                Plus => do_quantifier x0 s1 T1 t1'
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   991
              | Minus =>
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   992
                (* FIXME: Move elsewhere *)
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   993
                do_term (@{const Not}
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   994
                         $ (HOLogic.eq_const (domain_type T0) $ t1
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   995
                            $ Abs (Name.uu, T1, @{const False}))) accum)
38864
4abe644fcea5 formerly unnamed infix equality now named HOL.eq
haftmann
parents: 38795
diff changeset
   996
           | Const (x as (@{const_name HOL.eq}, _)) $ t1 $ t2 =>
37704
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   997
             do_equals x t1 t2
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   998
           | Const (@{const_name Let}, _) $ t1 $ t2 =>
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
   999
             do_formula sn (betapply (t2, t1)) accum
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1000
           | (t0 as Const (s0, _)) $ t1 $ t2 =>
38199
8a9cace789d6 deal correctly with Pure.conjunction in mono check
blanchet
parents: 38190
diff changeset
  1001
             if s0 = @{const_name "==>"} orelse
8a9cace789d6 deal correctly with Pure.conjunction in mono check
blanchet
parents: 38190
diff changeset
  1002
                s0 = @{const_name Pure.conjunction} orelse
38795
848be46708dc formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents: 38786
diff changeset
  1003
                s0 = @{const_name HOL.conj} orelse
848be46708dc formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents: 38786
diff changeset
  1004
                s0 = @{const_name HOL.disj} orelse
38786
e46e7a9cb622 formerly unnamed infix impliciation now named HOL.implies
haftmann
parents: 38199
diff changeset
  1005
                s0 = @{const_name HOL.implies} then
37704
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1006
               let
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1007
                 val impl = (s0 = @{const_name "==>"} orelse
38786
e46e7a9cb622 formerly unnamed infix impliciation now named HOL.implies
haftmann
parents: 38199
diff changeset
  1008
                             s0 = @{const_name HOL.implies})
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
  1009
                 val (m1, accum) =
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
  1010
                   do_formula (sn |> impl ? negate_sign) t1 accum
37704
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1011
                 val (m2, accum) = do_formula sn t2 accum
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1012
               in
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1013
                 (MApp (MApp (MRaw (t0, mtype_for (fastype_of t0)), m1), m2),
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1014
                  accum)
39316
b6c4385ab400 change defaults of Auto Nitpick so that it consumes less resources (time and Kodkod threads)
blanchet
parents: 38864
diff changeset
  1015
               end
37704
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1016
             else
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1017
               do_term t accum
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1018
           | _ => do_term t accum)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1019
        end
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1020
        |> tap (fn (m, _) =>
38179
7207321df8af make tracing monotonicity easier
blanchet
parents: 37704
diff changeset
  1021
                   trace_msg (fn () => "\<Gamma> \<turnstile> " ^
7207321df8af make tracing monotonicity easier
blanchet
parents: 37704
diff changeset
  1022
                                       string_for_mterm ctxt m ^ " : o\<^sup>" ^
7207321df8af make tracing monotonicity easier
blanchet
parents: 37704
diff changeset
  1023
                                       string_for_sign sn))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1024
  in do_formula end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1025
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1026
(* The harmless axiom optimization below is somewhat too aggressive in the face
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1027
   of (rather peculiar) user-defined axioms. *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1028
val harmless_consts =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1029
  [@{const_name ord_class.less}, @{const_name ord_class.less_eq}]
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1030
val bounteous_consts = [@{const_name bisim}]
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1031
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1032
fun is_harmless_axiom ({no_harmless = true, ...} : mdata) _ = false
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39345
diff changeset
  1033
  | is_harmless_axiom {hol_ctxt = {thy, stds, ...}, ...} t =
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1034
    Term.add_consts t []
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39345
diff changeset
  1035
    |> filter_out (is_built_in_const thy stds)
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1036
    |> (forall (member (op =) harmless_consts o original_name o fst) orf
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1037
        exists (member (op =) bounteous_consts o fst))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1038
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1039
fun consider_nondefinitional_axiom mdata t =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1040
  if is_harmless_axiom mdata t then pair (MRaw (t, dummy_M))
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1041
  else consider_general_formula mdata Plus t
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1042
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 36385
diff changeset
  1043
fun consider_definitional_axiom (mdata as {hol_ctxt = {ctxt, ...}, ...}) t =
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 36385
diff changeset
  1044
  if not (is_constr_pattern_formula ctxt t) then
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1045
    consider_nondefinitional_axiom mdata t
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1046
  else if is_harmless_axiom mdata t then
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1047
    pair (MRaw (t, dummy_M))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1048
  else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1049
    let
35672
ff484d4f2e14 more work on Nitpick's finite sets
blanchet
parents: 35671
diff changeset
  1050
      val mtype_for = fresh_mtype_for_type mdata false
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1051
      val do_term = consider_term mdata
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1052
      fun do_all quant_t abs_s abs_T body_t accum =
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1053
        let
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1054
          val abs_M = mtype_for abs_T
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1055
          val (body_m, accum) =
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
  1056
            accum |>> push_bound (A Gen) abs_T abs_M |> do_formula body_t
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1057
          val body_M = mtype_of_mterm body_m
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1058
        in
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
  1059
          (MApp (MRaw (quant_t, MFun (MFun (abs_M, A Gen, body_M), A Gen,
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
  1060
                       body_M)),
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
  1061
                 MAbs (abs_s, abs_T, abs_M, A Gen, body_m)),
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1062
           accum |>> pop_bound)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1063
        end
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1064
      and do_conjunction t0 t1 t2 accum =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1065
        let
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1066
          val (m1, accum) = do_formula t1 accum
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1067
          val (m2, accum) = do_formula t2 accum
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1068
        in
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1069
          (MApp (MApp (MRaw (t0, mtype_for (fastype_of t0)), m1), m2), accum)
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1070
        end
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1071
      and do_implies t0 t1 t2 accum =
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1072
        let
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1073
          val (m1, accum) = do_term t1 accum
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1074
          val (m2, accum) = do_formula t2 accum
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1075
        in
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1076
          (MApp (MApp (MRaw (t0, mtype_for (fastype_of t0)), m1), m2), accum)
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1077
        end
35812
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1078
      and do_formula t accum =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1079
          case t of
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1080
            (t0 as Const (@{const_name all}, _)) $ Abs (s1, T1, t1) =>
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1081
            do_all t0 s1 T1 t1 accum
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1082
          | @{const Trueprop} $ t1 =>
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1083
            let val (m1, accum) = do_formula t1 accum in
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1084
              (MApp (MRaw (@{const Trueprop}, mtype_for (bool_T --> prop_T)),
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1085
                     m1), accum)
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1086
            end
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1087
          | Const (x as (@{const_name "=="}, _)) $ t1 $ t2 =>
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1088
            consider_general_equals mdata true x t1 t2 accum
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1089
          | (t0 as @{const "==>"}) $ t1 $ t2 => do_implies t0 t1 t2 accum
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1090
          | (t0 as @{const Pure.conjunction}) $ t1 $ t2 =>
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1091
            do_conjunction t0 t1 t2 accum
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1092
          | (t0 as Const (@{const_name All}, _)) $ Abs (s0, T1, t1) =>
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1093
            do_all t0 s0 T1 t1 accum
38864
4abe644fcea5 formerly unnamed infix equality now named HOL.eq
haftmann
parents: 38795
diff changeset
  1094
          | Const (x as (@{const_name HOL.eq}, _)) $ t1 $ t2 =>
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1095
            consider_general_equals mdata true x t1 t2 accum
38795
848be46708dc formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents: 38786
diff changeset
  1096
          | (t0 as @{const HOL.conj}) $ t1 $ t2 => do_conjunction t0 t1 t2 accum
38786
e46e7a9cb622 formerly unnamed infix impliciation now named HOL.implies
haftmann
parents: 38199
diff changeset
  1097
          | (t0 as @{const HOL.implies}) $ t1 $ t2 => do_implies t0 t1 t2 accum
33232
f93390060bbe internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents: 33192
diff changeset
  1098
          | _ => raise TERM ("Nitpick_Mono.consider_definitional_axiom.\
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1099
                             \do_formula", [t])
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1100
    in do_formula t end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1101
40989
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
  1102
fun string_for_mtype_of_term ctxt asgs t M =
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
  1103
  Syntax.string_of_term ctxt t ^ " : " ^ string_for_mtype (resolve_mtype asgs M)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1104
40989
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
  1105
fun print_mtype_context ctxt asgs ({frees, consts, ...} : mtype_context) =
38179
7207321df8af make tracing monotonicity easier
blanchet
parents: 37704
diff changeset
  1106
  trace_msg (fn () =>
40989
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
  1107
      map (fn (x, M) => string_for_mtype_of_term ctxt asgs (Free x) M) frees @
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
  1108
      map (fn (x, M) => string_for_mtype_of_term ctxt asgs (Const x) M) consts
37476
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
  1109
      |> cat_lines)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1110
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1111
fun amass f t (ms, accum) =
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1112
  let val (m, accum) = f t accum in (m :: ms, accum) end
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1113
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
  1114
fun infer which no_harmless (hol_ctxt as {ctxt, ...}) binarize calculus alpha_T
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1115
          (nondef_ts, def_ts) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1116
  let
38179
7207321df8af make tracing monotonicity easier
blanchet
parents: 37704
diff changeset
  1117
    val _ = trace_msg (fn () => "****** " ^ which ^ " analysis: " ^
7207321df8af make tracing monotonicity easier
blanchet
parents: 37704
diff changeset
  1118
                                string_for_mtype MAlpha ^ " is " ^
7207321df8af make tracing monotonicity easier
blanchet
parents: 37704
diff changeset
  1119
                                Syntax.string_of_typ ctxt alpha_T)
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1120
    val mdata as {max_fresh, constr_mcache, ...} =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1121
      initial_mdata hol_ctxt binarize no_harmless alpha_T
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
  1122
    val accum = (initial_gamma, ([], []))
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1123
    val (nondef_ms, accum) =
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1124
      ([], accum) |> amass (consider_general_formula mdata Plus) (hd nondef_ts)
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1125
                  |> fold (amass (consider_nondefinitional_axiom mdata))
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1126
                          (tl nondef_ts)
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1127
    val (def_ms, (gamma, cset)) =
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1128
      ([], accum) |> fold (amass (consider_definitional_axiom mdata)) def_ts
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1129
  in
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
  1130
    case solve calculus (!max_fresh) cset of
40989
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
  1131
      SOME asgs => (print_mtype_context ctxt asgs gamma;
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
  1132
                    SOME (asgs, (nondef_ms, def_ms), !constr_mcache))
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1133
    | _ => NONE
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1134
  end
35812
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1135
  handle UNSOLVABLE () => NONE
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1136
       | MTYPE (loc, Ms, Ts) =>
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1137
         raise BAD (loc, commas (map string_for_mtype Ms @
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1138
                                 map (Syntax.string_of_typ ctxt) Ts))
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1139
       | MTERM (loc, ms) =>
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1140
         raise BAD (loc, commas (map (string_for_mterm ctxt) ms))
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1141
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
  1142
fun formulas_monotonic hol_ctxt =
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
  1143
  is_some oooo infer "Monotonicity" false hol_ctxt
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1144
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1145
fun fin_fun_constr T1 T2 =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1146
  (@{const_name FinFun}, (T1 --> T2) --> Type (@{type_name fin_fun}, [T1, T2]))
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1147
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
  1148
fun finitize_funs (hol_ctxt as {thy, ctxt, stds, constr_cache, ...}) binarize
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
  1149
                  finitizes calculus alpha_T tsp =
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
  1150
  case infer "Finiteness" true hol_ctxt binarize calculus alpha_T tsp of
40989
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
  1151
    SOME (asgs, msp, constr_mtypes) =>
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
  1152
    if forall (curry (op =) Gen o snd) asgs then
35812
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1153
      tsp
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1154
    else
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1155
      let
40988
blanchet
parents: 40987
diff changeset
  1156
        fun should_finitize T aa =
35812
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1157
          case triple_lookup (type_match thy) finitizes T of
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1158
            SOME (SOME false) => false
40989
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
  1159
          | _ => resolve_annotation_atom asgs aa = A Fls
35812
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1160
        fun type_from_mtype T M =
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1161
          case (M, T) of
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1162
            (MAlpha, _) => T
40988
blanchet
parents: 40987
diff changeset
  1163
          | (MFun (M1, aa, M2), Type (@{type_name fun}, Ts)) =>
blanchet
parents: 40987
diff changeset
  1164
            Type (if should_finitize T aa then @{type_name fin_fun}
35812
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1165
                  else @{type_name fun}, map2 type_from_mtype Ts [M1, M2])
38190
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38179
diff changeset
  1166
          | (MPair (M1, M2), Type (@{type_name prod}, Ts)) =>
b02e204b613a get rid of all "optimizations" regarding "unit" and other cardinality-1 types
blanchet
parents: 38179
diff changeset
  1167
            Type (@{type_name prod}, map2 type_from_mtype Ts [M1, M2])
35812
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1168
          | (MType _, _) => T
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1169
          | _ => raise MTYPE ("Nitpick_Mono.finitize_funs.type_from_mtype",
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1170
                              [M], [T])
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1171
        fun finitize_constr (x as (s, T)) =
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1172
          (s, case AList.lookup (op =) constr_mtypes x of
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1173
                SOME M => type_from_mtype T M
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1174
              | NONE => T)
37267
5c47d633c84d fix code that used to raise an exception if bound variables were given a finite function type, because the old vs. new bound variable types were confused
blanchet
parents: 37260
diff changeset
  1175
        fun term_from_mterm new_Ts old_Ts m =
35812
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1176
          case m of
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1177
            MRaw (t, M) =>
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1178
            let
37267
5c47d633c84d fix code that used to raise an exception if bound variables were given a finite function type, because the old vs. new bound variable types were confused
blanchet
parents: 37260
diff changeset
  1179
              val T = fastype_of1 (old_Ts, t)
35812
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1180
              val T' = type_from_mtype T M
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1181
            in
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1182
              case t of
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1183
                Const (x as (s, _)) =>
37476
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
  1184
                if s = @{const_name finite} then
35812
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1185
                  case domain_type T' of
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1186
                    set_T' as Type (@{type_name fin_fun}, _) =>
394fe2b064cd solve error in "Nitpick_Mono" +