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_literal = var * (sign * 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_literal (x, (sn, a)) =
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  string_for_var x ^ (case sn of Plus => " = " | Minus => " \<noteq> ") ^
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  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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(* ### FIXME: make sure wellformed! *)
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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 | Neq | Leq
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type comp = annotation_atom * annotation_atom * comp_op * var list
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type assign_clause = assign_literal 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 Neq = "\<noteq>"
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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_literal asgs)
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fun add_assign_literal (x, (sn, a)) clauses =
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  if exists (fn [(x', (sn', a'))] =>
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                x = x' andalso ((sn = sn' andalso a <> a') orelse
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                                (sn <> sn' andalso a = a'))
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              | _ => false) clauses then
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    NONE
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  else
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    SOME ([(x, a)] :: clauses)
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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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val add_assign_clause = insert (op =)
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fun annotation_comp Eq a1 a2 = (a1 = a2)
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  | annotation_comp Neq a1 a2 = (a1 <> a2)
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  | annotation_comp Leq a1 a2 = (a1 = a2 orelse a2 = Gen)
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fun sign_for_comp_op Eq = Plus
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  | sign_for_comp_op Neq = Minus
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  | sign_for_comp_op Leq = raise BAD ("sign_for_comp_op", "unexpected \"Leq\"")
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   393
fun do_annotation_atom_comp Leq [] aa1 aa2 (cset as (comps, clauses)) =
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   394
    (case (aa1, aa2) of
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   395
       (A a1, A a2) => if annotation_comp Leq 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 [] aa1 aa2 (cset as (comps, clauses)) =
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    (case (aa1, aa2) of
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   399
       (A a1, A a2) => if annotation_comp cmp a1 a2 then SOME cset else NONE
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   400
     | (V x1, A a2) =>
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   401
       clauses |> add_assign_literal (x1, (sign_for_comp_op cmp, a2))
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               |> Option.map (pair comps)
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   403
     | (A _, V _) => do_annotation_atom_comp cmp [] aa2 aa1 cset
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     | (V _, V _) => SOME (insert (op =) (aa1, aa2, cmp, []) comps, clauses))
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  | do_annotation_atom_comp cmp xs aa1 aa2 (comps, clauses) =
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   406
    SOME (insert (op =) (aa1, aa2, cmp, xs) comps, clauses)
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   408
fun add_annotation_atom_comp cmp xs aa1 aa2 (comps, clauses) =
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   409
  (trace_msg (fn () => "*** Add " ^ string_for_comp (aa1, aa2, cmp, xs));
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   410
   case do_annotation_atom_comp cmp xs aa1 aa2 (comps, clauses) of
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   411
     NONE => (trace_msg (K "**** Unsolvable"); raise UNSOLVABLE ())
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   412
   | SOME cset => cset)
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   413
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   414
fun do_mtype_comp _ _ _ _ NONE = NONE
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   415
  | do_mtype_comp _ _ MAlpha MAlpha cset = cset
40988
blanchet
parents: 40987
diff changeset
   416
  | do_mtype_comp Eq xs (MFun (M11, aa1, M12)) (MFun (M21, aa2, M22))
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   417
                  (SOME cset) =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   418
    cset |> do_annotation_atom_comp Eq xs aa1 aa2
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   419
         |> do_mtype_comp Eq xs M11 M21 |> do_mtype_comp Eq xs M12 M22
40988
blanchet
parents: 40987
diff changeset
   420
  | do_mtype_comp Leq xs (MFun (M11, aa1, M12)) (MFun (M21, aa2, M22))
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   421
                  (SOME cset) =
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   422
    (if exists_alpha_sub_mtype M11 then
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   423
       cset |> do_annotation_atom_comp Leq xs aa1 aa2
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   424
            |> do_mtype_comp Leq xs M21 M11
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   425
            |> (case aa2 of
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   426
                  A Gen => I
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   427
                | A _ => do_mtype_comp Leq xs M11 M21
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   428
                | 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
   429
     else
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   430
       SOME cset)
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   431
    |> do_mtype_comp Leq xs M12 M22
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   432
  | 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
   433
                  cset =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   434
    (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
   435
     handle Library.UnequalLengths =>
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   436
            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
   437
  | do_mtype_comp _ _ (MType _) (MType _) cset =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   438
    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
   439
  | do_mtype_comp cmp _ M1 M2 _ =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   440
    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
   441
                 [M1, M2], [])
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   442
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   443
fun add_mtype_comp cmp M1 M2 cset =
40991
902ad76994d5 proper handling of assignment disjunctions vs. conjunctions
blanchet
parents: 40990
diff changeset
   444
  (trace_msg (fn () => "*** Add " ^ string_for_mtype M1 ^ " " ^
902ad76994d5 proper handling of assignment disjunctions vs. conjunctions
blanchet
parents: 40990
diff changeset
   445
                       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
   446
   case SOME cset |> do_mtype_comp cmp [] M1 M2 of
40991
902ad76994d5 proper handling of assignment disjunctions vs. conjunctions
blanchet
parents: 40990
diff changeset
   447
     NONE => (trace_msg (K "**** Unsolvable"); raise UNSOLVABLE ())
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   448
   | SOME cset => cset)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   449
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   450
val add_mtypes_equal = add_mtype_comp Eq
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   451
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
   452
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   453
fun do_notin_mtype_fv _ _ _ NONE = NONE
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   454
  | do_notin_mtype_fv Minus _ MAlpha cset = cset
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   455
  | do_notin_mtype_fv Plus [] MAlpha _ = NONE
40996
63112be4a469 added "Neq" operator to monotonicity inference module
blanchet
parents: 40995
diff changeset
   456
  | do_notin_mtype_fv Plus [asg] MAlpha (SOME clauses) =
63112be4a469 added "Neq" operator to monotonicity inference module
blanchet
parents: 40995
diff changeset
   457
    clauses |> add_assign_literal asg
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   458
  | do_notin_mtype_fv Plus clause MAlpha (SOME clauses) =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   459
    SOME (insert (op =) clause clauses)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   460
  | 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
   461
    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
   462
             else I)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   463
         |> (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
   464
             else I)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   465
         |> do_notin_mtype_fv sn clause M2
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   466
  | do_notin_mtype_fv Plus clause (MFun (M1, V x, M2)) cset =
40996
63112be4a469 added "Neq" operator to monotonicity inference module
blanchet
parents: 40995
diff changeset
   467
    cset |> (case add_assign_disjunct (x, (Plus, Gen)) (SOME clause) of
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   468
               NONE => I
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   469
             | SOME clause' => do_notin_mtype_fv Plus clause' M1)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   470
         |> do_notin_mtype_fv Minus clause M1
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   471
         |> do_notin_mtype_fv Plus clause M2
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   472
  | do_notin_mtype_fv Minus clause (MFun (M1, V x, M2)) cset =
40996
63112be4a469 added "Neq" operator to monotonicity inference module
blanchet
parents: 40995
diff changeset
   473
    cset |> (case fold (fn a => add_assign_disjunct (x, (Plus, a))) [Fls, Tru]
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   474
                       (SOME clause) of
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   475
               NONE => I
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   476
             | SOME clause' => do_notin_mtype_fv Plus clause' M1)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   477
         |> do_notin_mtype_fv Minus clause M2
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   478
  | 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
   479
    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
   480
  | do_notin_mtype_fv sn clause (MType (_, Ms)) cset =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   481
    cset |> fold (do_notin_mtype_fv sn clause) Ms
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   482
 | do_notin_mtype_fv _ _ M _ =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   483
   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
   484
40997
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   485
fun add_notin_mtype_fv sn M (comps, clauses) =
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   486
  (trace_msg (fn () => "*** Add " ^ string_for_mtype M ^ " is " ^
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   487
                       (case sn of Minus => "concrete" | Plus => "complete"));
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   488
   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
   489
     NONE => (trace_msg (K "**** Unsolvable"); raise UNSOLVABLE ())
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   490
   | SOME clauses => (comps, clauses))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   491
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   492
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
   493
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
   494
40986
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   495
val bool_table =
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   496
  [(Gen, (false, false)),
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   497
   (New, (false, true)),
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   498
   (Fls, (true, false)),
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   499
   (Tru, (true, true))]
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   500
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   501
fun fst_var n = 2 * n
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   502
fun snd_var n = 2 * n + 1
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   503
40986
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   504
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
   505
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
   506
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   507
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
   508
fun prop_for_bool_var_equality (v1, v2) =
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   509
  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
   510
          PL.Or (PL.Not (PL.BoolVar v1), PL.BoolVar v2))
40996
63112be4a469 added "Neq" operator to monotonicity inference module
blanchet
parents: 40995
diff changeset
   511
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
   512
  let val (b1, b2) = bools_from_annotation a in
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   513
    PL.And (PL.BoolVar (fst_var x) |> not b1 ? PL.Not,
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   514
            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
   515
  end
40996
63112be4a469 added "Neq" operator to monotonicity inference module
blanchet
parents: 40995
diff changeset
   516
fun prop_for_assign_literal (x, (Plus, a)) = prop_for_assign (x, a)
63112be4a469 added "Neq" operator to monotonicity inference module
blanchet
parents: 40995
diff changeset
   517
  | prop_for_assign_literal (x, (Minus, a)) = PL.Not (prop_for_assign (x, a))
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   518
fun prop_for_atom_assign (A a', a) = prop_for_bool (a = a')
40996
63112be4a469 added "Neq" operator to monotonicity inference module
blanchet
parents: 40995
diff changeset
   519
  | prop_for_atom_assign (V x, a) = prop_for_assign_literal (x, (Plus, a))
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   520
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
   521
  | 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
   522
  | prop_for_atom_equality (V x1, V x2) =
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   523
    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
   524
            prop_for_bool_var_equality (pairself snd_var (x1, x2)))
40995
3cae30b60577 started implementing connectives in new monotonicity calculus
blanchet
parents: 40994
diff changeset
   525
val prop_for_assign_clause = PL.exists o map prop_for_assign_literal
3cae30b60577 started implementing connectives in new monotonicity calculus
blanchet
parents: 40994
diff changeset
   526
fun prop_for_exists_var_assign_literal xs a =
40996
63112be4a469 added "Neq" operator to monotonicity inference module
blanchet
parents: 40995
diff changeset
   527
  PL.exists (map (fn x => prop_for_assign_literal (x, (Plus, a))) xs)
40988
blanchet
parents: 40987
diff changeset
   528
fun prop_for_comp (aa1, aa2, Eq, []) =
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   529
    PL.SAnd (prop_for_comp (aa1, aa2, Leq, []),
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   530
             prop_for_comp (aa2, aa1, Leq, []))
40996
63112be4a469 added "Neq" operator to monotonicity inference module
blanchet
parents: 40995
diff changeset
   531
  | prop_for_comp (aa1, aa2, Neq, []) =
63112be4a469 added "Neq" operator to monotonicity inference module
blanchet
parents: 40995
diff changeset
   532
    PL.Not (prop_for_comp (aa1, aa2, Eq, []))
40988
blanchet
parents: 40987
diff changeset
   533
  | prop_for_comp (aa1, aa2, Leq, []) =
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   534
    PL.SOr (prop_for_atom_equality (aa1, aa2), prop_for_atom_assign (aa2, Gen))
40988
blanchet
parents: 40987
diff changeset
   535
  | prop_for_comp (aa1, aa2, cmp, xs) =
40995
3cae30b60577 started implementing connectives in new monotonicity calculus
blanchet
parents: 40994
diff changeset
   536
    PL.SOr (prop_for_exists_var_assign_literal xs Gen,
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   537
            prop_for_comp (aa1, aa2, cmp, []))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   538
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   539
(* 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
   540
   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
   541
fun variable_domain calculus =
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   542
  [Gen] @ (if calculus > 1 then [Fls] else [])
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   543
  @ (if calculus > 2 then [New, Tru] else [])
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   544
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   545
fun prop_for_variable_domain calculus x =
40996
63112be4a469 added "Neq" operator to monotonicity inference module
blanchet
parents: 40995
diff changeset
   546
  PL.exists (map (fn a => prop_for_assign_literal (x, (Plus, a)))
63112be4a469 added "Neq" operator to monotonicity inference module
blanchet
parents: 40995
diff changeset
   547
                 (variable_domain calculus))
40986
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   548
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   549
fun extract_assigns max_var assigns asgs =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   550
  fold (fn x => fn accum =>
40989
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   551
           if AList.defined (op =) asgs x then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   552
             accum
40986
cfd91aa80701 use boolean pair to encode annotation, which may now take four values
blanchet
parents: 40985
diff changeset
   553
           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
   554
             (NONE, NONE) => accum
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   555
           | 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
   556
                   :: accum)
40989
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   557
       (max_var downto 1) asgs
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   558
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   559
fun print_problem calculus comps clauses =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   560
  trace_msg (fn () =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   561
                "*** Problem (calculus M" ^ string_of_int calculus ^ "):\n" ^
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   562
                cat_lines (map string_for_comp comps @
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   563
                           map string_for_assign_clause clauses))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   564
40989
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   565
fun print_solution asgs =
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   566
  trace_msg (fn () => "*** Solution:\n" ^
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   567
      (asgs
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   568
       |> map swap
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   569
       |> AList.group (op =)
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   570
       |> map (fn (a, xs) => string_for_annotation a ^ ": " ^
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   571
                             string_for_vars ", " xs)
ff08edbbc182 more monotonicity tuning
blanchet
parents: 40988
diff changeset
   572
       |> space_implode "\n"))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   573
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   574
fun solve calculus max_var (comps, clauses) =
40146
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   575
  let
40996
63112be4a469 added "Neq" operator to monotonicity inference module
blanchet
parents: 40995
diff changeset
   576
    val asgs = map_filter (fn [(x, (_, a))] => SOME (x, a) | _ => NONE) clauses
40146
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   577
    fun do_assigns assigns =
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   578
      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
   579
    val _ = print_problem calculus comps clauses
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   580
    val prop =
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   581
      map prop_for_comp comps @
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   582
      map prop_for_assign_clause clauses @
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   583
      (if calculus < 3 then
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   584
         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
   585
       else
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   586
         [])
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   587
      |> PL.all
40146
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   588
  in
40990
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   589
    if PL.eval (K false) prop then
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   590
      do_assigns (K (SOME false))
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   591
    else if PL.eval (K true) prop then
a36d4d869439 adapt monotonicity code to four annotation types
blanchet
parents: 40989
diff changeset
   592
      do_assigns (K (SOME true))
40146
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   593
    else
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   594
      let
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   595
        (* use the first ML solver (to avoid startup overhead) *)
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   596
        val solvers = !SatSolver.solvers
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   597
                      |> filter (member (op =) ["dptsat", "dpll"] o fst)
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   598
      in
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   599
        case snd (hd solvers) prop of
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   600
          SatSolver.SATISFIABLE assigns => do_assigns assigns
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   601
        | _ => (trace_msg (K "*** Unsolvable"); NONE)
40146
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   602
      end
f2a14b6effcf whitespace tuning
blanchet
parents: 40058
diff changeset
   603
  end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   604
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   605
type mcontext =
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   606
  {bound_Ts: typ list,
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   607
   bound_Ms: mtyp list,
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   608
   frame: (int * annotation_atom) list,
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   609
   frees: (styp * mtyp) list,
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   610
   consts: (styp * mtyp) list}
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   611
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   612
fun string_for_bound ctxt Ms (j, aa) =
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   613
  Syntax.string_of_term ctxt (Bound (length Ms - j - 1)) ^ " :\<^bsup>" ^
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   614
  string_for_annotation_atom aa ^ "\<^esup> " ^
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   615
  string_for_mtype (nth Ms (length Ms - j - 1))
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   616
fun string_for_free relevant_frees ((s, _), M) =
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   617
  if member (op =) relevant_frees s then SOME (s ^ " : " ^ string_for_mtype M)
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   618
  else NONE
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   619
fun string_for_mcontext ctxt t {bound_Ms, frame, frees, ...} =
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   620
  (map_filter (string_for_free (Term.add_free_names t [])) frees @
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   621
   map (string_for_bound ctxt bound_Ms) frame)
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   622
  |> commas |> enclose "[" "]"
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   623
40987
7d52af07bff1 added frame component to Gamma in monotonicity calculus
blanchet
parents: 40986
diff changeset
   624
val initial_gamma =
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   625
  {bound_Ts = [], bound_Ms = [], frame = [], frees = [], consts = []}
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   626
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   627
fun push_bound aa T M {bound_Ts, bound_Ms, frame, frees, consts} =
40987
7d52af07bff1 added frame component to Gamma in monotonicity calculus
blanchet
parents: 40986
diff changeset
   628
  {bound_Ts = T :: bound_Ts, bound_Ms = M :: bound_Ms,
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   629
   frame = frame @ [(length bound_Ts, aa)], frees = frees, consts = consts}
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   630
fun pop_bound {bound_Ts, bound_Ms, frame, frees, consts} =
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   631
  {bound_Ts = tl bound_Ts, bound_Ms = tl bound_Ms,
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   632
   frame = frame |> filter_out (fn (j, _) => j = length bound_Ts - 1),
40987
7d52af07bff1 added frame component to Gamma in monotonicity calculus
blanchet
parents: 40986
diff changeset
   633
   frees = frees, consts = consts}
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   634
  handle List.Empty => initial_gamma (* FIXME: needed? *)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   635
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   636
fun set_frame frame ({bound_Ts, bound_Ms, frees, consts, ...} : mcontext) =
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   637
  {bound_Ts = bound_Ts, bound_Ms = bound_Ms, frame = frame, frees = frees,
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   638
   consts = consts}
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   639
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   640
(* FIXME: make sure tracing messages are complete *)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   641
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   642
fun add_comp_frame aa cmp = fold (add_annotation_atom_comp cmp [] aa o snd)
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   643
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   644
fun add_bound_frame j frame =
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
    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
   647
  in
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   648
    add_comp_frame (A New) Leq new_frame
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   649
    #> add_comp_frame (A Gen) Eq gen_frame
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   650
  end
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   651
40997
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   652
fun fresh_frame ({max_fresh, ...} : mdata) fls tru =
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   653
  map (apsnd (fn aa =>
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   654
                 case (aa, fls, tru) of
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   655
                   (A Fls, SOME a, _) => A a
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   656
                 | (A Tru, _, SOME a) => A a
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   657
                 | (A Gen, _, _) => A Gen
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   658
                 | _ => V (Unsynchronized.inc max_fresh)))
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   659
40997
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   660
fun conj_clauses res_aa aa1 aa2 =
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   661
  [[(aa1, (Neq, Tru)), (aa2, (Neq, Tru)), (res_aa, (Eq, Tru))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   662
   [(aa1, (Neq, Fls)), (res_aa, (Eq, Fls))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   663
   [(aa2, (Neq, Fls)), (res_aa, (Eq, Fls))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   664
   [(aa1, (Neq, Gen)), (aa2, (Eq, Fls)), (res_aa, (Eq, Gen))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   665
   [(aa1, (Neq, New)), (aa2, (Eq, Fls)), (res_aa, (Eq, Gen))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   666
   [(aa1, (Eq, Fls)), (aa2, (Neq, Gen)), (res_aa, (Eq, Gen))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   667
   [(aa1, (Eq, Fls)), (aa2, (Neq, New)), (res_aa, (Eq, Gen))]]
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   668
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   669
fun disj_clauses res_aa aa1 aa2 =
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   670
  [[(aa1, (Neq, Tru)), (res_aa, (Eq, Tru))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   671
   [(aa2, (Neq, Tru)), (res_aa, (Eq, Tru))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   672
   [(aa1, (Neq, Fls)), (aa2, (Neq, Fls)), (res_aa, (Eq, Fls))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   673
   [(aa1, (Neq, Gen)), (aa2, (Eq, Tru)), (res_aa, (Eq, Gen))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   674
   [(aa1, (Neq, New)), (aa2, (Eq, Tru)), (res_aa, (Eq, Gen))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   675
   [(aa1, (Eq, Tru)), (aa2, (Neq, Gen)), (res_aa, (Eq, Gen))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   676
   [(aa1, (Eq, Tru)), (aa2, (Neq, New)), (res_aa, (Eq, Gen))]]
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   677
40997
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   678
fun imp_clauses res_aa aa1 aa2 =
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   679
  [[(aa1, (Neq, Fls)), (res_aa, (Eq, Tru))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   680
   [(aa2, (Neq, Tru)), (res_aa, (Eq, Tru))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   681
   [(aa1, (Neq, Tru)), (aa2, (Neq, Fls)), (res_aa, (Eq, Fls))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   682
   [(aa1, (Neq, Gen)), (aa2, (Eq, Tru)), (res_aa, (Eq, Gen))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   683
   [(aa1, (Neq, New)), (aa2, (Eq, Tru)), (res_aa, (Eq, Gen))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   684
   [(aa1, (Eq, Fls)), (aa2, (Neq, Gen)), (res_aa, (Eq, Gen))],
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   685
   [(aa1, (Eq, Fls)), (aa2, (Neq, New)), (res_aa, (Eq, Gen))]]
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   686
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   687
fun annotation_literal_from_quasi_literal (aa, (cmp, a)) =
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   688
  case aa of
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   689
    A a' => if annotation_comp cmp a' a then NONE
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   690
            else (trace_msg (K "**** Unsolvable"); raise UNSOLVABLE ())
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   691
  | V x => SOME (x, (sign_for_comp_op cmp, a))
40995
3cae30b60577 started implementing connectives in new monotonicity calculus
blanchet
parents: 40994
diff changeset
   692
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   693
val assign_clause_from_quasi_clause =
40997
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   694
  map_filter annotation_literal_from_quasi_literal
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   695
val add_quasi_clause = assign_clause_from_quasi_clause #> add_assign_clause
40995
3cae30b60577 started implementing connectives in new monotonicity calculus
blanchet
parents: 40994
diff changeset
   696
40997
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   697
fun add_connective_var conn mk_quasi_clauses res_aa aa1 aa2 =
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   698
  (trace_msg (fn () => "*** Add " ^ string_for_annotation_atom res_aa ^ " = " ^
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   699
                       string_for_annotation_atom aa1 ^ " " ^ conn ^ " " ^
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   700
                       string_for_annotation_atom aa2);
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   701
   fold add_quasi_clause (mk_quasi_clauses res_aa aa1 aa2))
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   702
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   703
fun add_connective_frames conn mk_quasi_clauses res_frame frame1 frame2 =
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   704
  fold I (map3 (fn (_, res_aa) => fn (_, aa1) => fn (_, aa2) =>
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   705
                   add_connective_var conn mk_quasi_clauses res_aa aa1 aa2)
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   706
               res_frame frame1 frame2)
40995
3cae30b60577 started implementing connectives in new monotonicity calculus
blanchet
parents: 40994
diff changeset
   707
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   708
fun kill_unused_in_frame is_in (accum as ({frame, ...}, _)) =
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   709
  let val (used_frame, unused_frame) = List.partition is_in frame in
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   710
    accum |>> set_frame used_frame
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   711
          ||> add_comp_frame (A Gen) Eq unused_frame
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   712
  end
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   713
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   714
fun split_frame is_in_fun (gamma as {frame, ...}, cset) =
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   715
  let
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   716
    fun bubble fun_frame arg_frame [] cset =
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   717
        ((rev fun_frame, rev arg_frame), cset)
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   718
      | bubble fun_frame arg_frame ((bound as (_, aa)) :: rest) cset =
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   719
        if is_in_fun bound then
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   720
          bubble (bound :: fun_frame) arg_frame rest
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   721
                 (cset |> add_comp_frame aa Leq arg_frame)
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   722
        else
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   723
          bubble fun_frame (bound :: arg_frame) rest cset
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   724
  in cset |> bubble [] [] frame ||> pair gamma end
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   725
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   726
fun add_annotation_atom_comp_alt _ (A Gen) _ _ = I
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   727
  | add_annotation_atom_comp_alt _ (A _) _ _ =
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   728
    (trace_msg (K "*** Expected G"); raise UNSOLVABLE ())
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   729
  | add_annotation_atom_comp_alt cmp (V x) aa1 aa2 =
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   730
    add_annotation_atom_comp cmp [x] aa1 aa2
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   731
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   732
fun add_arg_order1 ((_, aa), (_, prev_aa)) =
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   733
  add_annotation_atom_comp_alt Neq prev_aa (A Gen) aa
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   734
fun add_app1 fun_aa ((_, res_aa), (_, arg_aa)) =
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   735
  add_annotation_atom_comp_alt Leq arg_aa fun_aa res_aa
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   736
  ##> add_quasi_clause [(arg_aa, (Neq, Gen)), (res_aa, (Eq, Gen))]
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   737
fun add_app _ [] [] = I
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   738
  | add_app fun_aa res_frame arg_frame =
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   739
    add_comp_frame (A New) Leq arg_frame
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   740
    #> fold add_arg_order1 (tl arg_frame ~~ (fst (split_last arg_frame)))
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   741
    #> fold (add_app1 fun_aa) (res_frame ~~ arg_frame)
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   742
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39345
diff changeset
   743
fun consider_term (mdata as {hol_ctxt = {thy, ctxt, stds, ...}, alpha_T,
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39345
diff changeset
   744
                             max_fresh, ...}) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   745
  let
37476
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   746
    fun is_enough_eta_expanded t =
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   747
      case strip_comb t of
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39345
diff changeset
   748
        (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
   749
        <= length ts
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   750
      | _ => true
35672
ff484d4f2e14 more work on Nitpick's finite sets
blanchet
parents: 35671
diff changeset
   751
    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
   752
    fun plus_set_mtype_for_dom M =
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   753
      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
   754
    fun do_all T (gamma, cset) =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   755
      let
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   756
        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
   757
        val body_M = mtype_for (body_type T)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   758
      in
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   759
        (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
   760
         (gamma, cset |> add_mtype_is_complete abs_M))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   761
      end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   762
    fun do_equals T (gamma, cset) =
40997
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   763
      let
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   764
        val M = mtype_for (domain_type T)
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   765
        val aa = V (Unsynchronized.inc max_fresh)
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   766
      in
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   767
        (MFun (M, A Gen, MFun (M, aa, mtype_for (nth_range_type 2 T))),
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   768
         (gamma, cset |> add_mtype_is_concrete M
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   769
                      |> add_annotation_atom_comp Leq [] (A Fls) aa))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   770
      end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   771
    fun do_robust_set_operation T (gamma, cset) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   772
      let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   773
        val set_T = domain_type T
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   774
        val M1 = mtype_for set_T
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   775
        val M2 = mtype_for set_T
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   776
        val M3 = mtype_for set_T
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   777
      in
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   778
        (MFun (M1, A Gen, MFun (M2, A Gen, M3)),
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   779
         (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
   780
      end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   781
    fun do_fragile_set_operation T (gamma, cset) =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   782
      let
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   783
        val set_T = domain_type T
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   784
        val set_M = mtype_for set_T
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   785
        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
   786
            if T = set_T then set_M
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   787
            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
   788
          | custom_mtype_for T = mtype_for T
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   789
      in
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   790
        (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
   791
      end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   792
    fun do_pair_constr T accum =
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   793
      case mtype_for (nth_range_type 2 T) of
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   794
        M as MPair (a_M, b_M) =>
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   795
        (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
   796
      | 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
   797
    fun do_nth_pair_sel n T =
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   798
      case mtype_for (domain_type T) of
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   799
        M as MPair (a_M, b_M) =>
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
   800
        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
   801
      | 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
   802
    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
   803
      let
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   804
        val abs_M = mtype_for abs_T
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   805
        val aa = V (Unsynchronized.inc max_fresh)
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   806
        val (bound_m, accum) =
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   807
          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
   808
        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
   809
        val (body_m, accum) =
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   810
          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
   811
                |> do_term body_t ||> apfst pop_bound
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   812
        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
   813
        val (M1, aa', _) = dest_MFun bound_M
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   814
      in
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   815
        (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
   816
               MAbs (abs_s, abs_T, M1, aa',
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   817
                     MApp (MApp (MRaw (connective_t,
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   818
                                       mtype_for (fastype_of connective_t)),
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
   819
                                 MApp (bound_m, MRaw (Bound 0, M1))),
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   820
                           body_m))), accum)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   821
      end
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   822
    and do_connect conn mk_quasi_clauses t0 t1 t2 (accum as ({frame, ...}, _)) =
40995
3cae30b60577 started implementing connectives in new monotonicity calculus
blanchet
parents: 40994
diff changeset
   823
      let
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   824
        val frame1 = fresh_frame mdata (SOME Tru) NONE frame
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   825
        val frame2 = fresh_frame mdata (SOME Fls) NONE frame
40995
3cae30b60577 started implementing connectives in new monotonicity calculus
blanchet
parents: 40994
diff changeset
   826
        val (m1, accum) = accum |>> set_frame frame1 |> do_term t1
3cae30b60577 started implementing connectives in new monotonicity calculus
blanchet
parents: 40994
diff changeset
   827
        val (m2, accum) = accum |>> set_frame frame2 |> do_term t2
3cae30b60577 started implementing connectives in new monotonicity calculus
blanchet
parents: 40994
diff changeset
   828
      in
3cae30b60577 started implementing connectives in new monotonicity calculus
blanchet
parents: 40994
diff changeset
   829
        (MApp (MApp (MRaw (t0, mtype_for (fastype_of t0)), m1), m2),
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   830
         accum |>> set_frame frame
40997
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   831
               ||> apsnd (add_connective_frames conn mk_quasi_clauses
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   832
                                                frame frame1 frame2))
40995
3cae30b60577 started implementing connectives in new monotonicity calculus
blanchet
parents: 40994
diff changeset
   833
      end
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   834
    and do_term t
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   835
            (accum as (gamma as {bound_Ts, bound_Ms, frame, frees, consts},
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   836
                       cset)) =
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   837
      (trace_msg (fn () => "  " ^ string_for_mcontext ctxt t gamma ^
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   838
                           " \<turnstile> " ^ Syntax.string_of_term ctxt t ^
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   839
                           " : _?");
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   840
       case t of
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   841
         @{const False} =>
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   842
         (MRaw (t, bool_M), accum ||> add_comp_frame (A Fls) Leq frame)
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   843
       | @{const True} =>
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   844
         (MRaw (t, bool_M), accum ||> add_comp_frame (A Tru) Leq frame)
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   845
       | Const (x as (s, T)) =>
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   846
         (case AList.lookup (op =) consts x of
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   847
            SOME M => (M, accum)
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   848
          | NONE =>
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   849
            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
   850
              (mtype_for T, accum)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   851
            else case s of
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   852
              @{const_name all} => do_all T accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   853
            | @{const_name "=="} => do_equals T accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   854
            | @{const_name All} => do_all T accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   855
            | @{const_name Ex} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   856
              let val set_T = domain_type T in
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   857
                do_term (Abs (Name.uu, set_T,
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   858
                              @{const Not} $ (HOLogic.mk_eq
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   859
                                  (Abs (Name.uu, domain_type set_T,
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   860
                                        @{const False}),
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   861
                                   Bound 0)))) accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   862
                |>> mtype_of_mterm
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   863
              end
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   864
            | @{const_name HOL.eq} => do_equals T accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   865
            | @{const_name The} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   866
              (trace_msg (K "*** The"); raise UNSOLVABLE ())
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   867
            | @{const_name Eps} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   868
              (trace_msg (K "*** Eps"); raise UNSOLVABLE ())
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   869
            | @{const_name If} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   870
              do_robust_set_operation (range_type T) accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   871
              |>> curry3 MFun bool_M (A Gen)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   872
            | @{const_name Pair} => do_pair_constr T accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   873
            | @{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
   874
            | @{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
   875
            | @{const_name Id} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   876
              (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
   877
            | @{const_name converse} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   878
              let
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   879
                val x = Unsynchronized.inc max_fresh
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   880
                fun mtype_for_set T =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   881
                  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
   882
                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
   883
                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
   884
              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
   885
            | @{const_name trancl} => do_fragile_set_operation T accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   886
            | @{const_name rel_comp} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   887
              let
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   888
                val x = Unsynchronized.inc max_fresh
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   889
                fun mtype_for_set T =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   890
                  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
   891
                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
   892
                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
   893
                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
   894
              in
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   895
                (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
   896
                 accum)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   897
              end
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   898
            | @{const_name image} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   899
              let
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   900
                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
   901
                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
   902
              in
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   903
                (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
   904
                       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
   905
                             plus_set_mtype_for_dom b_M)), accum)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   906
              end
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   907
            | @{const_name finite} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   908
              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
   909
                (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
   910
              end
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   911
            | @{const_name Sigma} =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   912
              let
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   913
                val x = Unsynchronized.inc max_fresh
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   914
                fun mtype_for_set T =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   915
                  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
   916
                val a_set_T = domain_type T
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   917
                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
   918
                val b_set_M =
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   919
                  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
   920
                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
   921
                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
   922
                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
   923
              in
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   924
                (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
   925
                 accum)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   926
              end
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   927
            | _ =>
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   928
              if s = @{const_name safe_The} then
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   929
                let
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   930
                  val a_set_M = mtype_for (domain_type T)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   931
                  val a_M = dest_MFun a_set_M |> #1
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   932
                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
   933
              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
   934
                      is_set_type (domain_type T) then
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   935
                do_fragile_set_operation T accum
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   936
              else if is_sel s then
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   937
                (mtype_for_sel mdata x, accum)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   938
              else if is_constr ctxt stds x then
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   939
                (mtype_for_constr mdata x, accum)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   940
              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
   941
                (fresh_mtype_for_type mdata true T, accum)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   942
              else
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   943
                let val M = mtype_for T in
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   944
                  (M, ({bound_Ts = bound_Ts, bound_Ms = bound_Ms, frame = frame,
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   945
                        frees = frees, consts = (x, M) :: consts}, cset))
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   946
                end)
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   947
           |>> curry MRaw t
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   948
           ||> apsnd (add_comp_frame (A Gen) Eq frame)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   949
         | Free (x as (_, T)) =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   950
           (case AList.lookup (op =) frees x of
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   951
              SOME M => (M, accum)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
   952
            | NONE =>
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   953
              let val M = mtype_for T in
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   954
                (M, ({bound_Ts = bound_Ts, bound_Ms = bound_Ms, frame = frame,
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   955
                      frees = (x, M) :: frees, consts = consts}, cset))
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   956
              end)
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   957
           |>> curry MRaw t ||> apsnd (add_comp_frame (A Gen) Eq frame)
38179
7207321df8af make tracing monotonicity easier
blanchet
parents: 37704
diff changeset
   958
         | Var _ => (trace_msg (K "*** Var"); raise UNSOLVABLE ())
40994
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   959
         | Bound j =>
3bdb8df0daf0 more work on frames in the new monotonicity calculus
blanchet
parents: 40993
diff changeset
   960
           (MRaw (t, nth bound_Ms j),
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
   961
            accum ||> add_bound_frame (length bound_Ts - j - 1) frame)
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   962
         | Abs (s, T, t') =>
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   963
           (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
   964
              SOME t' =>
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   965
              let
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   966
                val M = mtype_for T
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   967
                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
   968
              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
   969
            | NONE =>
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   970
              ((case t' of
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   971
                  t1' $ Bound 0 =>
37476
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   972
                  if not (loose_bvar1 (t1', 0)) andalso
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   973
                     is_enough_eta_expanded t1' then
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   974
                    do_term (incr_boundvars ~1 t1') accum
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   975
                  else
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   976
                    raise SAME ()
38864
4abe644fcea5 formerly unnamed infix equality now named HOL.eq
haftmann
parents: 38795
diff changeset
   977
                | (t11 as Const (@{const_name HOL.eq}, _)) $ Bound 0 $ t13 =>
37476
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   978
                  if not (loose_bvar1 (t13, 0)) then
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   979
                    do_term (incr_boundvars ~1 (t11 $ t13)) accum
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   980
                  else
0681e46b4022 optimized code generated for datatype cases + more;
blanchet
parents: 37267
diff changeset
   981
                    raise SAME ()
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   982
                | _ => raise SAME ())
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   983
               handle SAME () =>
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   984
                      let
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
   985
                        val M = mtype_for T
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   986
                        val aa = V (Unsynchronized.inc max_fresh)
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   987
                        val (m', accum) =
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
   988
                          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
   989
                      in (MAbs (s, T, M, aa, m'), accum |>> pop_bound) end))
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   990
         | (t0 as Const (@{const_name All}, _))
40997
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   991
           $ Abs (s', T', (t10 as @{const implies}) $ (t11 $ Bound 0) $ t12) =>
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   992
           do_bounded_quantifier t0 s' T' t10 t11 t12 accum
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   993
         | (t0 as Const (@{const_name Ex}, _))
40997
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   994
           $ Abs (s', T', (t10 as @{const conj}) $ (t11 $ Bound 0) $ t12) =>
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
   995
           do_bounded_quantifier t0 s' T' t10 t11 t12 accum
40997
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   996
         | @{const Not} $ t1 =>
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   997
           do_connect "\<implies>" imp_clauses @{const implies} t1
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
   998
                      @{const False} accum
40995
3cae30b60577 started implementing connectives in new monotonicity calculus
blanchet
parents: 40994
diff changeset
   999
         | (t0 as @{const conj}) $ t1 $ t2 =>
40997
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
  1000
           do_connect "\<and>" conj_clauses t0 t1 t2 accum
40995
3cae30b60577 started implementing connectives in new monotonicity calculus
blanchet
parents: 40994
diff changeset
  1001
         | (t0 as @{const disj}) $ t1 $ t2 =>
40997
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
  1002
           do_connect "\<or>" disj_clauses t0 t1 t2 accum
40995
3cae30b60577 started implementing connectives in new monotonicity calculus
blanchet
parents: 40994
diff changeset
  1003
         | (t0 as @{const implies}) $ t1 $ t2 =>
40997
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
  1004
           do_connect "\<implies>" imp_clauses t0 t1 t2 accum
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1005
         | Const (@{const_name Let}, _) $ t1 $ t2 =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1006
           do_term (betapply (t2, t1)) accum
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1007
         | t1 $ t2 =>
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1008
           let
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1009
             fun is_in t (j, _) = loose_bvar1 (t, length bound_Ts - j - 1)
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1010
             val accum as ({frame, ...}, _) =
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1011
               accum |> kill_unused_in_frame (is_in t)
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1012
             val ((frame1a, frame1b), accum) = accum |> split_frame (is_in t1)
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1013
             val frame2a = frame1a |> map (apsnd (K (A Gen)))
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1014
             val frame2b =
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1015
               frame1b |> map (apsnd (fn _ => V (Unsynchronized.inc max_fresh)))
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1016
             val frame2 = frame2a @ frame2b
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1017
             val (m1, accum) = accum |>> set_frame frame1a |> do_term t1
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1018
             val (m2, accum) = accum |>> set_frame frame2 |> do_term t2
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1019
           in
35812
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1020
             let
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1021
               val (M11, aa, _) = mtype_of_mterm m1 |> dest_MFun
35812
394fe2b064cd solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents: 35672
diff changeset
  1022
               val M2 = mtype_of_mterm m2
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1023
             in
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1024
               (MApp (m1, m2),
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1025
                accum |>> set_frame frame
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1026
                      ||> add_is_sub_mtype M2 M11
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1027
                      ||> add_app aa frame1b frame2b)
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1028
             end
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1029
           end)
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1030
        |> tap (fn (m, (gamma, _)) =>
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1031
                   trace_msg (fn () => "  " ^ string_for_mcontext ctxt t gamma ^
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1032
                                       " \<turnstile> " ^
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1033
                                       string_for_mterm ctxt m))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1034
  in do_term end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1035
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1036
fun force_minus_funs 0 _ = I
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1037
  | force_minus_funs n (M as MFun (M1, _, M2)) =
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
  1038
    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
  1039
  | force_minus_funs _ M =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1040
    raise MTYPE ("Nitpick_Mono.force_minus_funs", [M], [])
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1041
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
  1042
  let
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1043
    val (m1, accum) = consider_term mdata t1 accum
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1044
    val (m2, accum) = consider_term mdata t2 accum
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1045
    val M1 = mtype_of_mterm m1
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1046
    val M2 = mtype_of_mterm m2
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1047
    val accum = accum ||> add_mtypes_equal M1 M2
35672
ff484d4f2e14 more work on Nitpick's finite sets
blanchet
parents: 35671
diff changeset
  1048
    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
  1049
    val m = MApp (MApp (MRaw (Const x,
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
  1050
                           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
  1051
  in
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1052
    (m, if def then
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1053
          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
  1054
            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
  1055
          end
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1056
        else
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1057
          accum)
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1058
  end
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1059
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
  1060
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
  1061
  let
35672
ff484d4f2e14 more work on Nitpick's finite sets
blanchet
parents: 35671
diff changeset
  1062
    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
  1063
    val do_term = consider_term mdata
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1064
    fun do_formula sn t (accum as (gamma, _)) =
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
          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
  1067
            let
35385
29f81babefd7 improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents: 35384
diff changeset
  1068
              val abs_M = mtype_for abs_T
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
  1069
              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
  1070
              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
  1071
              val (body_m, accum) =
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1072
                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
  1073
                      |>> 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
  1074
              val body_M = mtype_of_mterm body_m
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1075
            in
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1076
              (MApp (MRaw (Const quant_x,
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
  1077
                           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
  1078
                     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
  1079
               accum |>> pop_bound)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1080
            end
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1081
          fun do_equals x t1 t2 =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1082
            case sn of
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1083
              Plus => do_term t accum
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1084
            | 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
  1085
        in
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1086
          (trace_msg (fn () => "  " ^ string_for_mcontext ctxt t gamma ^
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1087
                               " \<turnstile> " ^ Syntax.string_of_term ctxt t ^
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1088
                               " : o\<^sup>" ^ string_for_sign sn ^ "?");
37704
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1089
           case t of
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1090
             Const (x as (@{const_name all}, _)) $ Abs (s1, T1, t1) =>
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1091
             do_quantifier x s1 T1 t1
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1092
           | 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
  1093
           | @{const Trueprop} $ t1 =>
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1094
             let val (m1, accum) = do_formula sn t1 accum in
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1095
               (MApp (MRaw (@{const Trueprop}, mtype_for (bool_T --> prop_T)),
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1096
                      m1), accum)
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1097
             end
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1098
           | @{const Not} $ t1 =>
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
  1099
             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
  1100
               (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
  1101
                accum)
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1102
             end
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1103
           | Const (x as (@{const_name All}, _)) $ Abs (s1, T1, t1) =>
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1104
             do_quantifier x s1 T1 t1
39345
062c10ff848c remove unreferenced identifiers
blanchet
parents: 39342
diff changeset
  1105
           | Const (x0 as (@{const_name Ex}, T0))
37704
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1106
             $ (t1 as Abs (s1, T1, t1')) =>
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1107
             (case sn of
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1108
                Plus => do_quantifier x0 s1 T1 t1'
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1109
              | Minus =>
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1110
                (* FIXME: Move elsewhere *)
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1111
                do_term (@{const Not}
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1112
                         $ (HOLogic.eq_const (domain_type T0) $ t1
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1113
                            $ Abs (Name.uu, T1, @{const False}))) accum)
38864
4abe644fcea5 formerly unnamed infix equality now named HOL.eq
haftmann
parents: 38795
diff changeset
  1114
           | Const (x as (@{const_name HOL.eq}, _)) $ t1 $ t2 =>
37704
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1115
             do_equals x t1 t2
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1116
           | Const (@{const_name Let}, _) $ t1 $ t2 =>
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1117
             do_formula sn (betapply (t2, t1)) accum
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1118
           | (t0 as Const (s0, _)) $ t1 $ t2 =>
38199
8a9cace789d6 deal correctly with Pure.conjunction in mono check
blanchet
parents: 38190
diff changeset
  1119
             if s0 = @{const_name "==>"} orelse
8a9cace789d6 deal correctly with Pure.conjunction in mono check
blanchet
parents: 38190
diff changeset
  1120
                s0 = @{const_name Pure.conjunction} orelse
40997
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
  1121
                s0 = @{const_name conj} orelse
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
  1122
                s0 = @{const_name disj} orelse
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
  1123
                s0 = @{const_name implies} then
37704
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1124
               let
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1125
                 val impl = (s0 = @{const_name "==>"} orelse
40997
67e11a73532a implemented connectives in new monotonicity calculus
blanchet
parents: 40996
diff changeset
  1126
                             s0 = @{const_name implies})
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
  1127
                 val (m1, accum) =
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
  1128
                   do_formula (sn |> impl ? negate_sign) t1 accum
37704
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1129
                 val (m2, accum) = do_formula sn t2 accum
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1130
               in
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1131
                 (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
  1132
                  accum)
39316
b6c4385ab400 change defaults of Auto Nitpick so that it consumes less resources (time and Kodkod threads)
blanchet
parents: 38864
diff changeset
  1133
               end
37704
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1134
             else
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1135
               do_term t accum
c6161bee8486 adapt Nitpick to "prod_case" and "*" -> "sum" renaming;
blanchet
parents: 37678
diff changeset
  1136
           | _ => do_term t accum)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1137
        end
40998
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1138
        |> tap (fn (m, (gamma, _)) =>
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1139
                   trace_msg (fn () => string_for_mcontext ctxt t gamma ^
bcd23ddeecef started implementing the new monotonicity rules for application
blanchet
parents: 40997
diff changeset
  1140
                                       " \<turnstile> " ^
38179
7207321df8af make tracing monotonicity easier
blanchet
parents: 37704
diff changeset
  1141
                                       string_for_mterm ctxt m ^ " : o\<^sup>" ^
7207321df8af make tracing monotonicity easier
blanchet
parents: 37704
diff changeset
  1142
                                       string_for_sign sn))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1143
  in do_formula end
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1144
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1145
(* 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
  1146
   of (rather peculiar) user-defined axioms. *)
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1147
val harmless_consts =
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1148
  [@{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
  1149
val bounteous_consts = [@{const_name bisim}]
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1150
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1151
fun is_harmless_axiom ({no_harmless = true, ...} : mdata) _ = false
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39345
diff changeset
  1152
  | 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
  1153
    Term.add_consts t []
39359
6f49c7fbb1b1 remove "fast_descs" option from Nitpick;
blanchet
parents: 39345
diff changeset
  1154
    |> 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
  1155
    |> (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
  1156
        exists (member (op =) bounteous_consts o fst))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1157
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1158
fun consider_nondefinitional_axiom mdata t =
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1159
  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
  1160
  else consider_general_formula mdata Plus t
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1161
37256
0dca1ec52999 thread along context instead of theory for typedef lookup
blanchet
parents: 36385
diff changeset
  1162
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
  1163
  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
  1164
    consider_nondefinitional_axiom mdata t
35665
ff2bf50505ab added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents: 35386
diff changeset
  1165
  else if is_harmless_axiom mdata t then
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1166
    pair (MRaw (t, dummy_M))
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1167
  else
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1168
    let
35672
ff484d4f2e14 more work on Nitpick's finite sets
blanchet
parents: 35671
diff changeset
  1169
      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
  1170
      val do_term = consider_term mdata
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1171
      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
  1172
        let
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1173
          val abs_M = mtype_for abs_T
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1174
          val (body_m, accum) =
40993
52ee2a187cdb support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents: 40991
diff changeset
  1175
            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
  1176
          val body_M = mtype_of_mterm body_m
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1177
        in
40985
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
  1178
          (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
  1179
                       body_M)),
8b870370c26f started generalizing monotonicity code to accommodate new calculus
blanchet
parents: 40722
diff changeset
  1180
                 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
  1181
           accum |>> pop_bound)
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1182
        end
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1183
      and do_conjunction t0 t1 t2 accum =
33192
08a39a957ed7 added Nitpick's theory and ML files to Isabelle/HOL;
blanchet
parents:
diff changeset
  1184
        let
35386
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1185
          val (m1, accum) = do_formula t1 accum
45a4e19d3ebd more work on the new monotonicity stuff in Nitpick
blanchet
parents: 35385
diff changeset
  1186</