author  blanchet 
Mon, 06 Dec 2010 13:26:23 +0100  
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child 40995  3cae30b60577 
permissions  rwrr 
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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 higherorder logic. 
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*) 
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signature NITPICK_MONO = 

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sig 

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type hol_context = Nitpick_HOL.hol_context 
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val trace : bool Unsynchronized.ref 
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val formulas_monotonic : 
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hol_context > bool > int > typ > term list * term list > bool 
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val finitize_funs : 
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hol_context > bool > (typ option * bool option) list > int > typ 
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> term list * term list > term list * term list 
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end; 
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structure Nitpick_Mono : NITPICK_MONO = 
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struct 
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open Nitpick_Util 
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open Nitpick_HOL 
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structure PL = PropLogic 
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datatype sign = Plus  Minus 
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type var = int 
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datatype annotation = Gen  New  Fls  Tru 
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datatype annotation_atom = A of annotation  V of var 
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type assign = var * annotation 
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datatype mtyp = 
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MAlpha  
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MFun of mtyp * annotation_atom * mtyp  
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MPair of mtyp * mtyp  
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MType of string * mtyp list  
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MRec of string * typ list 
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datatype mterm = 
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MRaw of term * mtyp  
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MAbs of string * typ * mtyp * annotation_atom * mterm  
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MApp of mterm * mterm 
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type mdata = 
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{hol_ctxt: hol_context, 
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binarize: bool, 
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alpha_T: typ, 
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no_harmless: bool, 
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max_fresh: int Unsynchronized.ref, 
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datatype_mcache: ((string * typ list) * mtyp) list Unsynchronized.ref, 
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constr_mcache: (styp * mtyp) list Unsynchronized.ref} 
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exception UNSOLVABLE of unit 
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exception MTYPE of string * mtyp list * typ list 
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exception MTERM of string * mterm list 
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val trace = Unsynchronized.ref false 
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fun trace_msg msg = if !trace then tracing (msg ()) else () 

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fun string_for_sign Plus = "+" 
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 string_for_sign Minus = "" 
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fun negate_sign Plus = Minus 
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 negate_sign Minus = Plus 
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val string_for_var = signed_string_of_int 
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fun string_for_vars sep [] = "0\<^bsub>" ^ sep ^ "\<^esub>" 

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 string_for_vars sep xs = space_implode sep (map string_for_var xs) 

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fun subscript_string_for_vars sep xs = 

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if null xs then "" else "\<^bsub>" ^ string_for_vars sep xs ^ "\<^esub>" 

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fun string_for_annotation Gen = "G" 
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 string_for_annotation New = "N" 
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 string_for_annotation Fls = "F" 
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 string_for_annotation Tru = "T" 
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fun string_for_annotation_atom (A a) = string_for_annotation a 
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 string_for_annotation_atom (V x) = string_for_var x 
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fun string_for_assign (x, a) = 
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string_for_var x ^ " = " ^ string_for_annotation a 
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val bool_M = MType (@{type_name bool}, []) 
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val dummy_M = MType (nitpick_prefix ^ "dummy", []) 
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fun is_MRec (MRec _) = true 
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 is_MRec _ = false 
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fun dest_MFun (MFun z) = z 
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 dest_MFun M = raise MTYPE ("Nitpick_Mono.dest_MFun", [M], []) 
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val no_prec = 100 

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fun precedence_of_mtype (MFun _) = 1 
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 precedence_of_mtype (MPair _) = 2 
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 precedence_of_mtype _ = no_prec 
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val string_for_mtype = 
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let 
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fun aux outer_prec M = 
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let 
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val prec = precedence_of_mtype M 
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val need_parens = (prec < outer_prec) 
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in 

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(if need_parens then "(" else "") ^ 

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(if M = dummy_M then 
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"_" 
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else case M of 
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MAlpha => "\<alpha>" 
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 MFun (M1, aa, M2) => 
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aux (prec + 1) M1 ^ " \<Rightarrow>\<^bsup>" ^ 
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string_for_annotation_atom aa ^ "\<^esup> " ^ aux prec M2 
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 MPair (M1, M2) => aux (prec + 1) M1 ^ " \<times> " ^ aux prec M2 
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 MType (s, []) => 
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if s = @{type_name prop} orelse s = @{type_name bool} then "o" 
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else s 
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 MType (s, Ms) => "(" ^ commas (map (aux 0) Ms) ^ ") " ^ s 
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 MRec (s, _) => "[" ^ s ^ "]") ^ 
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(if need_parens then ")" else "") 
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end 

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in aux 0 end 

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fun flatten_mtype (MPair (M1, M2)) = maps flatten_mtype [M1, M2] 
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 flatten_mtype (MType (_, Ms)) = maps flatten_mtype Ms 
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 flatten_mtype M = [M] 
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fun precedence_of_mterm (MRaw _) = no_prec 
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 precedence_of_mterm (MAbs _) = 1 
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 precedence_of_mterm (MApp _) = 2 
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fun string_for_mterm ctxt = 
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let 
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fun mtype_annotation M = "\<^bsup>" ^ string_for_mtype M ^ "\<^esup>" 
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fun aux outer_prec m = 
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let 
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val prec = precedence_of_mterm m 
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val need_parens = (prec < outer_prec) 
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in 
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(if need_parens then "(" else "") ^ 
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(case m of 
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MRaw (t, M) => Syntax.string_of_term ctxt t ^ mtype_annotation M 
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 MAbs (s, _, M, aa, m) => 
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"\<lambda>" ^ s ^ mtype_annotation M ^ ".\<^bsup>" ^ 
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string_for_annotation_atom aa ^ "\<^esup> " ^ aux prec m 
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 MApp (m1, m2) => aux prec m1 ^ " " ^ aux (prec + 1) m2) ^ 
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(if need_parens then ")" else "") 
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end 
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in aux 0 end 
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fun mtype_of_mterm (MRaw (_, M)) = M 
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 mtype_of_mterm (MAbs (_, _, M, aa, m)) = MFun (M, aa, mtype_of_mterm m) 
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 mtype_of_mterm (MApp (m1, _)) = 
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case mtype_of_mterm m1 of 
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MFun (_, _, M12) => M12 
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 M1 => raise MTYPE ("Nitpick_Mono.mtype_of_mterm", [M1], []) 
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fun strip_mcomb (MApp (m1, m2)) = strip_mcomb m1 > (fn ms => append ms [m2]) 
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 strip_mcomb m = (m, []) 
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fun initial_mdata hol_ctxt binarize no_harmless alpha_T = 
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({hol_ctxt = hol_ctxt, binarize = binarize, alpha_T = alpha_T, 
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no_harmless = no_harmless, max_fresh = Unsynchronized.ref 0, 
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datatype_mcache = Unsynchronized.ref [], 
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constr_mcache = Unsynchronized.ref []} : mdata) 
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fun could_exist_alpha_subtype alpha_T (T as Type (_, Ts)) = 

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171 
T = alpha_T orelse (not (is_fp_iterator_type T) andalso 
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172 
exists (could_exist_alpha_subtype alpha_T) Ts) 
33192  173 
 could_exist_alpha_subtype alpha_T T = (T = alpha_T) 
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174 
fun could_exist_alpha_sub_mtype _ (alpha_T as TFree _) T = 
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175 
could_exist_alpha_subtype alpha_T T 
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176 
 could_exist_alpha_sub_mtype ctxt alpha_T T = 
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177 
(T = alpha_T orelse is_datatype ctxt [(NONE, true)] T) 
33192  178 

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179 
fun exists_alpha_sub_mtype MAlpha = true 
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180 
 exists_alpha_sub_mtype (MFun (M1, _, M2)) = 
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181 
exists exists_alpha_sub_mtype [M1, M2] 
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182 
 exists_alpha_sub_mtype (MPair (M1, M2)) = 
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183 
exists exists_alpha_sub_mtype [M1, M2] 
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184 
 exists_alpha_sub_mtype (MType (_, Ms)) = exists exists_alpha_sub_mtype Ms 
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185 
 exists_alpha_sub_mtype (MRec _) = true 
33192  186 

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187 
fun exists_alpha_sub_mtype_fresh MAlpha = true 
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188 
 exists_alpha_sub_mtype_fresh (MFun (_, V _, _)) = true 
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189 
 exists_alpha_sub_mtype_fresh (MFun (_, _, M2)) = 
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190 
exists_alpha_sub_mtype_fresh M2 
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191 
 exists_alpha_sub_mtype_fresh (MPair (M1, M2)) = 
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192 
exists exists_alpha_sub_mtype_fresh [M1, M2] 
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193 
 exists_alpha_sub_mtype_fresh (MType (_, Ms)) = 
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194 
exists exists_alpha_sub_mtype_fresh Ms 
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195 
 exists_alpha_sub_mtype_fresh (MRec _) = true 
33192  196 

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197 
fun constr_mtype_for_binders z Ms = 
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198 
fold_rev (fn M => curry3 MFun M (A Gen)) Ms (MRec z) 
33192  199 

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200 
fun repair_mtype _ _ MAlpha = MAlpha 
40988  201 
 repair_mtype cache seen (MFun (M1, aa, M2)) = 
202 
MFun (repair_mtype cache seen M1, aa, repair_mtype cache seen M2) 

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203 
 repair_mtype cache seen (MPair Mp) = 
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204 
MPair (pairself (repair_mtype cache seen) Mp) 
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205 
 repair_mtype cache seen (MType (s, Ms)) = 
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206 
MType (s, maps (flatten_mtype o repair_mtype cache seen) Ms) 
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207 
 repair_mtype cache seen (MRec (z as (s, _))) = 
33192  208 
case AList.lookup (op =) cache z > the of 
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209 
MRec _ => MType (s, []) 
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210 
 M => if member (op =) seen M then MType (s, []) 
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211 
else repair_mtype cache (M :: seen) M 
33192  212 

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213 
fun repair_datatype_mcache cache = 
33192  214 
let 
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215 
fun repair_one (z, M) = 
33192  216 
Unsynchronized.change cache 
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217 
(AList.update (op =) (z, repair_mtype (!cache) [] M)) 
33192  218 
in List.app repair_one (rev (!cache)) end 
219 

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220 
fun repair_constr_mcache dtype_cache constr_mcache = 
33192  221 
let 
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222 
fun repair_one (x, M) = 
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223 
Unsynchronized.change constr_mcache 
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224 
(AList.update (op =) (x, repair_mtype dtype_cache [] M)) 
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225 
in List.app repair_one (!constr_mcache) end 
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226 

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227 
fun is_fin_fun_supported_type @{typ prop} = true 
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228 
 is_fin_fun_supported_type @{typ bool} = true 
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229 
 is_fin_fun_supported_type (Type (@{type_name option}, _)) = true 
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230 
 is_fin_fun_supported_type _ = false 
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231 
fun fin_fun_body _ _ (t as @{term False}) = SOME t 
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232 
 fin_fun_body _ _ (t as Const (@{const_name None}, _)) = SOME t 
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233 
 fin_fun_body dom_T ran_T 
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234 
((t0 as Const (@{const_name If}, _)) 
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235 
$ (t1 as Const (@{const_name HOL.eq}, _) $ Bound 0 $ t1') 
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236 
$ t2 $ t3) = 
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237 
(if loose_bvar1 (t1', 0) then 
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238 
NONE 
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239 
else case fin_fun_body dom_T ran_T t3 of 
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240 
NONE => NONE 
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241 
 SOME t3 => 
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242 
SOME (t0 $ (Const (@{const_name is_unknown}, dom_T > bool_T) $ t1') 
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243 
$ (Const (@{const_name unknown}, ran_T)) $ (t0 $ t1 $ t2 $ t3))) 
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244 
 fin_fun_body _ _ _ = NONE 
33192  245 

35672  246 
fun fresh_mfun_for_fun_type (mdata as {max_fresh, ...} : mdata) all_minus 
247 
T1 T2 = 

33192  248 
let 
35672  249 
val M1 = fresh_mtype_for_type mdata all_minus T1 
250 
val M2 = fresh_mtype_for_type mdata all_minus T2 

40988  251 
val aa = if not all_minus andalso exists_alpha_sub_mtype_fresh M1 andalso 
252 
is_fin_fun_supported_type (body_type T2) then 

253 
V (Unsynchronized.inc max_fresh) 

254 
else 

255 
A Gen 

256 
in (M1, aa, M2) end 

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257 
and fresh_mtype_for_type (mdata as {hol_ctxt as {ctxt, ...}, binarize, alpha_T, 
35672  258 
datatype_mcache, constr_mcache, ...}) 
259 
all_minus = 

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260 
let 
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261 
fun do_type T = 
33192  262 
if T = alpha_T then 
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263 
MAlpha 
33192  264 
else case T of 
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265 
Type (@{type_name fun}, [T1, T2]) => 
39342  266 
MFun (fresh_mfun_for_fun_type mdata all_minus T1 T2) 
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267 
 Type (@{type_name prod}, [T1, T2]) => MPair (pairself do_type (T1, T2)) 
33192  268 
 Type (z as (s, _)) => 
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269 
if could_exist_alpha_sub_mtype ctxt alpha_T T then 
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270 
case AList.lookup (op =) (!datatype_mcache) z of 
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271 
SOME M => M 
33192  272 
 NONE => 
273 
let 

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274 
val _ = Unsynchronized.change datatype_mcache (cons (z, MRec z)) 
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275 
val xs = binarized_and_boxed_datatype_constrs hol_ctxt binarize T 
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276 
val (all_Ms, constr_Ms) = 
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277 
fold_rev (fn (_, T') => fn (all_Ms, constr_Ms) => 
33192  278 
let 
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279 
val binder_Ms = map do_type (binder_types T') 
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280 
val new_Ms = filter exists_alpha_sub_mtype_fresh 
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281 
binder_Ms 
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282 
val constr_M = constr_mtype_for_binders z 
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283 
binder_Ms 
33192  284 
in 
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285 
(union (op =) new_Ms all_Ms, 
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286 
constr_M :: constr_Ms) 
33192  287 
end) 
288 
xs ([], []) 

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289 
val M = MType (s, all_Ms) 
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290 
val _ = Unsynchronized.change datatype_mcache 
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291 
(AList.update (op =) (z, M)) 
35665
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292 
val _ = Unsynchronized.change constr_mcache 
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293 
(append (xs ~~ constr_Ms)) 
33192  294 
in 
35665
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295 
if forall (not o is_MRec o snd) (!datatype_mcache) then 
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296 
(repair_datatype_mcache datatype_mcache; 
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297 
repair_constr_mcache (!datatype_mcache) constr_mcache; 
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298 
AList.lookup (op =) (!datatype_mcache) z > the) 
33192  299 
else 
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300 
M 
33192  301 
end 
302 
else 

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303 
MType (s, []) 
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304 
 _ => MType (simple_string_of_typ T, []) 
33192  305 
in do_type end 
306 

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307 
fun prodM_factors (MPair (M1, M2)) = maps prodM_factors [M1, M2] 
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308 
 prodM_factors M = [M] 
35665
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309 
fun curried_strip_mtype (MFun (M1, _, M2)) = 
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310 
curried_strip_mtype M2 >> append (prodM_factors M1) 
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311 
 curried_strip_mtype M = ([], M) 
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312 
fun sel_mtype_from_constr_mtype s M = 
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313 
let val (arg_Ms, dataM) = curried_strip_mtype M in 
40985
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314 
MFun (dataM, A Gen, 
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315 
case sel_no_from_name s of ~1 => bool_M  n => nth arg_Ms n) 
33192  316 
end 
317 

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318 
fun mtype_for_constr (mdata as {hol_ctxt = {ctxt, ...}, alpha_T, constr_mcache, 
33192  319 
...}) (x as (_, T)) = 
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320 
if could_exist_alpha_sub_mtype ctxt alpha_T T then 
35665
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321 
case AList.lookup (op =) (!constr_mcache) x of 
35385
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322 
SOME M => M 
35384  323 
 NONE => if T = alpha_T then 
35672  324 
let val M = fresh_mtype_for_type mdata false T in 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
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parents:
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diff
changeset

325 
(Unsynchronized.change constr_mcache (cons (x, M)); M) 
35384  326 
end 
327 
else 

35672  328 
(fresh_mtype_for_type mdata false (body_type T); 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
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parents:
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diff
changeset

329 
AList.lookup (op =) (!constr_mcache) x > the) 
33192  330 
else 
35672  331 
fresh_mtype_for_type mdata false T 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
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parents:
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diff
changeset

332 
fun mtype_for_sel (mdata as {hol_ctxt, binarize, ...}) (x as (s, _)) = 
35190
ce653cc27a94
make sure that Nitpick uses binary notation consistently if "binary_ints" is enabled
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parents:
35079
diff
changeset

333 
x > binarized_and_boxed_constr_for_sel hol_ctxt binarize 
35385
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parents:
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diff
changeset

334 
> mtype_for_constr mdata > sel_mtype_from_constr_mtype s 
33192  335 

40989  336 
fun resolve_annotation_atom asgs (V x) = 
337 
x > AList.lookup (op =) asgs > Option.map A > the_default (V x) 

40988  338 
 resolve_annotation_atom _ aa = aa 
40989  339 
fun resolve_mtype asgs = 
33192  340 
let 
35385
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diff
changeset

341 
fun aux MAlpha = MAlpha 
40988  342 
 aux (MFun (M1, aa, M2)) = 
40989  343 
MFun (aux M1, resolve_annotation_atom asgs aa, aux M2) 
35385
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diff
changeset

344 
 aux (MPair Mp) = MPair (pairself aux Mp) 
29f81babefd7
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diff
changeset

345 
 aux (MType (s, Ms)) = MType (s, map aux Ms) 
29f81babefd7
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diff
changeset

346 
 aux (MRec z) = MRec z 
33192  347 
in aux end 
348 

349 
datatype comp_op = Eq  Leq 

350 

40985
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
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diff
changeset

351 
type comp = annotation_atom * annotation_atom * comp_op * var list 
40990
a36d4d869439
adapt monotonicity code to four annotation types
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diff
changeset

352 
type assign_clause = assign list 
33192  353 

40994
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diff
changeset

354 
type constraint_set = comp list * assign_clause list 
33192  355 

356 
fun string_for_comp_op Eq = "=" 

357 
 string_for_comp_op Leq = "\<le>" 

358 

40990
a36d4d869439
adapt monotonicity code to four annotation types
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parents:
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diff
changeset

359 
fun string_for_comp (aa1, aa2, cmp, xs) = 
a36d4d869439
adapt monotonicity code to four annotation types
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parents:
40989
diff
changeset

360 
string_for_annotation_atom aa1 ^ " " ^ string_for_comp_op cmp ^ 
a36d4d869439
adapt monotonicity code to four annotation types
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parents:
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diff
changeset

361 
subscript_string_for_vars " \<and> " xs ^ " " ^ string_for_annotation_atom aa2 
33192  362 

40990
a36d4d869439
adapt monotonicity code to four annotation types
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parents:
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diff
changeset

363 
fun string_for_assign_clause [] = "\<bot>" 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
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diff
changeset

364 
 string_for_assign_clause asgs = 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

365 
space_implode " \<or> " (map string_for_assign asgs) 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

366 

40994
3bdb8df0daf0
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parents:
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diff
changeset

367 
fun add_assign (x, a) clauses = 
3bdb8df0daf0
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parents:
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diff
changeset

368 
if exists (fn [(x', a')] => x = x' andalso a <> a'  _ => false) clauses then 
3bdb8df0daf0
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diff
changeset

369 
NONE 
3bdb8df0daf0
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diff
changeset

370 
else 
3bdb8df0daf0
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diff
changeset

371 
SOME ([(x, a)] :: clauses)fun add_assign_conjunct _ NONE = NONE 
33192  372 

40991
902ad76994d5
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diff
changeset

373 
fun add_assign_disjunct _ NONE = NONE 
902ad76994d5
proper handling of assignment disjunctions vs. conjunctions
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parents:
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diff
changeset

374 
 add_assign_disjunct asg (SOME asgs) = SOME (insert (op =) asg asgs) 
902ad76994d5
proper handling of assignment disjunctions vs. conjunctions
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parents:
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diff
changeset

375 

40994
3bdb8df0daf0
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parents:
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diff
changeset

376 
fun do_annotation_atom_comp Eq [] aa1 aa2 (cset as (comps, clauses)) = 
40988  377 
(case (aa1, aa2) of 
40994
3bdb8df0daf0
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parents:
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diff
changeset

378 
(A a1, A a2) => if a1 = a2 then SOME cset else NONE 
40988  379 
 (V x1, A a2) => 
40994
3bdb8df0daf0
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parents:
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diff
changeset

380 
clauses > add_assign (x1, a2) > Option.map (pair comps) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
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parents:
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diff
changeset

381 
 (V _, V _) => SOME (insert (op =) (aa1, aa2, Eq, []) comps, clauses) 
3bdb8df0daf0
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parents:
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diff
changeset

382 
 _ => do_annotation_atom_comp Eq [] aa2 aa1 cset) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
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parents:
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diff
changeset

383 
 do_annotation_atom_comp Leq [] aa1 aa2 (cset as (comps, clauses)) = 
40988  384 
(case (aa1, aa2) of 
40994
3bdb8df0daf0
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parents:
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diff
changeset

385 
(_, A Gen) => SOME cset 
40989  386 
 (A Gen, A _) => NONE 
40994
3bdb8df0daf0
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parents:
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diff
changeset

387 
 (A a1, A a2) => if a1 = a2 then SOME cset else NONE 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
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parents:
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diff
changeset

388 
 _ => SOME (insert (op =) (aa1, aa2, Leq, []) comps, clauses)) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
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parents:
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diff
changeset

389 
 do_annotation_atom_comp cmp xs aa1 aa2 (comps, clauses) = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
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parents:
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diff
changeset

390 
SOME (insert (op =) (aa1, aa2, cmp, xs) comps, clauses) 
33192  391 

40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

392 
fun add_annotation_atom_comp cmp xs aa1 aa2 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
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parents:
40993
diff
changeset

393 
((comps, clauses) : constraint_set) = 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

394 
(trace_msg (fn () => "*** Add " ^ string_for_annotation_atom aa1 ^ " " ^ 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

395 
string_for_comp_op cmp ^ " " ^ 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

396 
string_for_annotation_atom aa2); 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

397 
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

398 
NONE => (trace_msg (K "**** Unsolvable"); raise UNSOLVABLE ()) 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

399 
 SOME cset => cset) 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

400 

35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

401 
fun do_mtype_comp _ _ _ _ NONE = NONE 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

402 
 do_mtype_comp _ _ MAlpha MAlpha cset = cset 
40988  403 
 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

404 
(SOME cset) = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

405 
cset > do_annotation_atom_comp Eq xs aa1 aa2 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

406 
> do_mtype_comp Eq xs M11 M21 > do_mtype_comp Eq xs M12 M22 
40988  407 
 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

408 
(SOME cset) = 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

409 
(if exists_alpha_sub_mtype M11 then 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

410 
cset > do_annotation_atom_comp Leq xs aa1 aa2 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

411 
> do_mtype_comp Leq xs M21 M11 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

412 
> (case aa2 of 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

413 
A Gen => I 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

414 
 A _ => do_mtype_comp Leq xs M11 M21 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

415 
 V x => do_mtype_comp Leq (x :: xs) M11 M21) 
33192  416 
else 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

417 
SOME cset) 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

418 
> do_mtype_comp Leq xs M12 M22 
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

419 
 do_mtype_comp cmp xs (M1 as MPair (M11, M12)) (M2 as MPair (M21, M22)) 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

420 
cset = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

421 
(cset > fold (uncurry (do_mtype_comp cmp xs)) [(M11, M21), (M12, M22)] 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

422 
handle Library.UnequalLengths => 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

423 
raise MTYPE ("Nitpick_Mono.do_mtype_comp", [M1, M2], [])) 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

424 
 do_mtype_comp _ _ (MType _) (MType _) cset = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

425 
cset (* no need to compare them thanks to the cache *) 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

426 
 do_mtype_comp cmp _ M1 M2 _ = 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

427 
raise MTYPE ("Nitpick_Mono.do_mtype_comp (" ^ string_for_comp_op cmp ^ ")", 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

428 
[M1, M2], []) 
33192  429 

40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

430 
fun add_mtype_comp cmp M1 M2 cset = 
40991
902ad76994d5
proper handling of assignment disjunctions vs. conjunctions
blanchet
parents:
40990
diff
changeset

431 
(trace_msg (fn () => "*** Add " ^ string_for_mtype M1 ^ " " ^ 
902ad76994d5
proper handling of assignment disjunctions vs. conjunctions
blanchet
parents:
40990
diff
changeset

432 
string_for_comp_op cmp ^ " " ^ string_for_mtype M2); 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

433 
case SOME cset > do_mtype_comp cmp [] M1 M2 of 
40991
902ad76994d5
proper handling of assignment disjunctions vs. conjunctions
blanchet
parents:
40990
diff
changeset

434 
NONE => (trace_msg (K "**** Unsolvable"); raise UNSOLVABLE ()) 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

435 
 SOME cset => cset) 
33192  436 

35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

437 
val add_mtypes_equal = add_mtype_comp Eq 
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

438 
val add_is_sub_mtype = add_mtype_comp Leq 
33192  439 

35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

440 
fun do_notin_mtype_fv _ _ _ NONE = NONE 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

441 
 do_notin_mtype_fv Minus _ MAlpha cset = cset 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

442 
 do_notin_mtype_fv Plus [] MAlpha _ = NONE 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

443 
 do_notin_mtype_fv Plus [(x, a)] MAlpha (SOME clauses) = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

444 
clauses > add_assign (x, a) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

445 
 do_notin_mtype_fv Plus clause MAlpha (SOME clauses) = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

446 
SOME (insert (op =) clause clauses) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

447 
 do_notin_mtype_fv sn clause (MFun (M1, A a, M2)) cset = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

448 
cset > (if a <> Gen andalso sn = Plus then do_notin_mtype_fv Plus clause M1 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

449 
else I) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

450 
> (if a = Gen orelse sn = Plus then do_notin_mtype_fv Minus clause M1 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

451 
else I) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

452 
> do_notin_mtype_fv sn clause M2 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

453 
 do_notin_mtype_fv Plus clause (MFun (M1, V x, M2)) cset = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

454 
cset > (case add_assign_disjunct (x, Gen) (SOME clause) of 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

455 
NONE => I 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

456 
 SOME clause' => do_notin_mtype_fv Plus clause' M1) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

457 
> do_notin_mtype_fv Minus clause M1 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

458 
> do_notin_mtype_fv Plus clause M2 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

459 
 do_notin_mtype_fv Minus clause (MFun (M1, V x, M2)) cset = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

460 
cset > (case fold (fn a => add_assign_disjunct (x, a)) [Fls, Tru] 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

461 
(SOME clause) of 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

462 
NONE => I 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

463 
 SOME clause' => do_notin_mtype_fv Plus clause' M1) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

464 
> do_notin_mtype_fv Minus clause M2 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

465 
 do_notin_mtype_fv sn clause (MPair (M1, M2)) cset = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

466 
cset > fold (do_notin_mtype_fv sn clause) [M1, M2] 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

467 
 do_notin_mtype_fv sn clause (MType (_, Ms)) cset = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

468 
cset > fold (do_notin_mtype_fv sn clause) Ms 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

469 
 do_notin_mtype_fv _ _ M _ = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

470 
raise MTYPE ("Nitpick_Mono.do_notin_mtype_fv", [M], []) 
33192  471 

40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

472 
fun add_notin_mtype_fv sn M ((comps, clauses) : constraint_set) = 
40985
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

473 
(trace_msg (fn () => "*** Add " ^ string_for_mtype M ^ " is " ^ 
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

474 
(case sn of Minus => "concrete"  Plus => "complete")); 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

475 
case SOME clauses > do_notin_mtype_fv sn [] M of 
40985
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

476 
NONE => (trace_msg (K "**** Unsolvable"); raise UNSOLVABLE ()) 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

477 
 SOME clauses => (comps, clauses)) 
33192  478 

35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

479 
val add_mtype_is_concrete = add_notin_mtype_fv Minus 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

480 
val add_mtype_is_complete = add_notin_mtype_fv Plus 
33192  481 

40986
cfd91aa80701
use boolean pair to encode annotation, which may now take four values
blanchet
parents:
40985
diff
changeset

482 
val bool_table = 
cfd91aa80701
use boolean pair to encode annotation, which may now take four values
blanchet
parents:
40985
diff
changeset

483 
[(Gen, (false, false)), 
cfd91aa80701
use boolean pair to encode annotation, which may now take four values
blanchet
parents:
40985
diff
changeset

484 
(New, (false, true)), 
cfd91aa80701
use boolean pair to encode annotation, which may now take four values
blanchet
parents:
40985
diff
changeset

485 
(Fls, (true, false)), 
cfd91aa80701
use boolean pair to encode annotation, which may now take four values
blanchet
parents:
40985
diff
changeset

486 
(Tru, (true, true))] 
cfd91aa80701
use boolean pair to encode annotation, which may now take four values
blanchet
parents:
40985
diff
changeset

487 

40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

488 
fun fst_var n = 2 * n 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

489 
fun snd_var n = 2 * n + 1 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

490 

40986
cfd91aa80701
use boolean pair to encode annotation, which may now take four values
blanchet
parents:
40985
diff
changeset

491 
val bools_from_annotation = AList.lookup (op =) bool_table #> the 
cfd91aa80701
use boolean pair to encode annotation, which may now take four values
blanchet
parents:
40985
diff
changeset

492 
val annotation_from_bools = AList.find (op =) bool_table #> the_single 
33192  493 

40990
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

494 
fun prop_for_bool b = if b then PL.True else PL.False 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

495 
fun prop_for_bool_var_equality (v1, v2) = 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

496 
PL.And (PL.Or (PL.BoolVar v1, PL.Not (PL.BoolVar v2)), 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

497 
PL.Or (PL.Not (PL.BoolVar v1), PL.BoolVar v2)) 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

498 
fun prop_for_assign (x, a) = 
40986
cfd91aa80701
use boolean pair to encode annotation, which may now take four values
blanchet
parents:
40985
diff
changeset

499 
let val (b1, b2) = bools_from_annotation a in 
40990
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

500 
PL.And (PL.BoolVar (fst_var x) > not b1 ? PL.Not, 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

501 
PL.BoolVar (snd_var x) > not b2 ? PL.Not) 
40986
cfd91aa80701
use boolean pair to encode annotation, which may now take four values
blanchet
parents:
40985
diff
changeset

502 
end 
40990
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

503 
fun prop_for_atom_assign (A a', a) = prop_for_bool (a = a') 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

504 
 prop_for_atom_assign (V x, a) = prop_for_assign (x, a) 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

505 
fun prop_for_atom_equality (aa1, A a2) = prop_for_atom_assign (aa1, a2) 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

506 
 prop_for_atom_equality (A a1, aa2) = prop_for_atom_assign (aa2, a1) 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

507 
 prop_for_atom_equality (V x1, V x2) = 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

508 
PL.And (prop_for_bool_var_equality (pairself fst_var (x1, x2)), 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

509 
prop_for_bool_var_equality (pairself snd_var (x1, x2))) 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

510 
val prop_for_assign_clause = PL.exists o map prop_for_assign 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

511 
fun prop_for_exists_var_assign xs a = 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

512 
PL.exists (map (fn x => prop_for_assign (x, a)) xs) 
40988  513 
fun prop_for_comp (aa1, aa2, Eq, []) = 
40990
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

514 
PL.SAnd (prop_for_comp (aa1, aa2, Leq, []), 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

515 
prop_for_comp (aa2, aa1, Leq, [])) 
40988  516 
 prop_for_comp (aa1, aa2, Leq, []) = 
40990
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

517 
PL.SOr (prop_for_atom_equality (aa1, aa2), prop_for_atom_assign (aa2, Gen)) 
40988  518 
 prop_for_comp (aa1, aa2, cmp, xs) = 
40990
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

519 
PL.SOr (prop_for_exists_var_assign xs Gen, 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

520 
prop_for_comp (aa1, aa2, cmp, [])) 
33192  521 

40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

522 
(* The "calculus" parameter may be 1, 2, or 3, corresponding approximately to 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

523 
the M1, M2, and M3 calculi from Blanchette & Krauss 2011. *) 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

524 
fun variable_domain calculus = 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

525 
[Gen] @ (if calculus > 1 then [Fls] else []) 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

526 
@ (if calculus > 2 then [New, Tru] else []) 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

527 

52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

528 
fun prop_for_variable_domain calculus x = 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

529 
PL.exists (map (curry prop_for_assign x) (variable_domain calculus)) 
40986
cfd91aa80701
use boolean pair to encode annotation, which may now take four values
blanchet
parents:
40985
diff
changeset

530 

40990
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

531 
fun extract_assigns max_var assigns asgs = 
33192  532 
fold (fn x => fn accum => 
40989  533 
if AList.defined (op =) asgs x then 
33192  534 
accum 
40986
cfd91aa80701
use boolean pair to encode annotation, which may now take four values
blanchet
parents:
40985
diff
changeset

535 
else case (fst_var x, snd_var x) > pairself assigns of 
cfd91aa80701
use boolean pair to encode annotation, which may now take four values
blanchet
parents:
40985
diff
changeset

536 
(NONE, NONE) => accum 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

537 
 bp => (x, annotation_from_bools (pairself (the_default false) bp)) 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

538 
:: accum) 
40989  539 
(max_var downto 1) asgs 
33192  540 

40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

541 
fun print_problem calculus comps clauses = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

542 
trace_msg (fn () => 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

543 
"*** Problem (calculus M" ^ string_of_int calculus ^ "):\n" ^ 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

544 
cat_lines (map string_for_comp comps @ 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

545 
map string_for_assign_clause clauses)) 
33192  546 

40989  547 
fun print_solution asgs = 
548 
trace_msg (fn () => "*** Solution:\n" ^ 

549 
(asgs 

550 
> map swap 

551 
> AList.group (op =) 

552 
> map (fn (a, xs) => string_for_annotation a ^ ": " ^ 

553 
string_for_vars ", " xs) 

554 
> space_implode "\n")) 

33192  555 

40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

556 
fun solve calculus max_var (comps, clauses) = 
40146  557 
let 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

558 
val asgs = map_filter (fn [asg] => SOME asg  _ => NONE) clauses 
40146  559 
fun do_assigns assigns = 
40990
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

560 
SOME (extract_assigns max_var assigns asgs > tap print_solution) 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

561 
val _ = print_problem calculus comps clauses 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

562 
val prop = 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

563 
map prop_for_comp comps @ 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

564 
map prop_for_assign_clause clauses @ 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

565 
(if calculus < 3 then 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

566 
map (prop_for_variable_domain calculus) (1 upto max_var) 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

567 
else 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

568 
[]) 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

569 
> PL.all 
40146  570 
in 
40990
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

571 
if PL.eval (K false) prop then 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

572 
do_assigns (K (SOME false)) 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

573 
else if PL.eval (K true) prop then 
a36d4d869439
adapt monotonicity code to four annotation types
blanchet
parents:
40989
diff
changeset

574 
do_assigns (K (SOME true)) 
40146  575 
else 
576 
let 

577 
(* use the first ML solver (to avoid startup overhead) *) 

578 
val solvers = !SatSolver.solvers 

579 
> filter (member (op =) ["dptsat", "dpll"] o fst) 

580 
in 

581 
case snd (hd solvers) prop of 

582 
SatSolver.SATISFIABLE assigns => do_assigns assigns 

40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

583 
 _ => (trace_msg (K "*** Unsolvable"); NONE) 
40146  584 
end 
585 
end 

33192  586 

35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

587 
type mtype_schema = mtyp * constraint_set 
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

588 
type mtype_context = 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

589 
{bound_Ts: typ list, 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

590 
bound_Ms: mtyp list, 
40987
7d52af07bff1
added frame component to Gamma in monotonicity calculus
blanchet
parents:
40986
diff
changeset

591 
bound_frame: (int * annotation_atom) list, 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

592 
frees: (styp * mtyp) list, 
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

593 
consts: (styp * mtyp) list} 
33192  594 

40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

595 
val string_for_frame = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

596 
commas o map (fn (j, aa) => "#" ^ string_of_int j ^ " > " ^ 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

597 
string_for_annotation_atom aa) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

598 

35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

599 
type accumulator = mtype_context * constraint_set 
33192  600 

40987
7d52af07bff1
added frame component to Gamma in monotonicity calculus
blanchet
parents:
40986
diff
changeset

601 
val initial_gamma = 
7d52af07bff1
added frame component to Gamma in monotonicity calculus
blanchet
parents:
40986
diff
changeset

602 
{bound_Ts = [], bound_Ms = [], bound_frame = [], frees = [], consts = []} 
33192  603 

40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

604 
fun push_bound aa T M {bound_Ts, bound_Ms, bound_frame, frees, consts} = 
40987
7d52af07bff1
added frame component to Gamma in monotonicity calculus
blanchet
parents:
40986
diff
changeset

605 
{bound_Ts = T :: bound_Ts, bound_Ms = M :: bound_Ms, 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

606 
bound_frame = (length bound_Ts, aa) :: bound_frame, frees = frees, 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

607 
consts = consts} 
40987
7d52af07bff1
added frame component to Gamma in monotonicity calculus
blanchet
parents:
40986
diff
changeset

608 
fun pop_bound {bound_Ts, bound_Ms, bound_frame, frees, consts} = 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

609 
{bound_Ts = tl bound_Ts, bound_Ms = tl bound_Ms, 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

610 
bound_frame = bound_frame 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

611 
> filter_out (fn (j, _) => j = length bound_Ts  1), 
40987
7d52af07bff1
added frame component to Gamma in monotonicity calculus
blanchet
parents:
40986
diff
changeset

612 
frees = frees, consts = consts} 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

613 
handle List.Empty => initial_gamma (* FIXME: needed? *) 
33192  614 

40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

615 
fun set_frame bound_frame ({bound_Ts, bound_Ms, frees, consts, ...} 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

616 
: mtype_context) = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

617 
{bound_Ts = bound_Ts, bound_Ms = bound_Ms, bound_frame = bound_frame, 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

618 
frees = frees, consts = consts} 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

619 

3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

620 
(* FIXME: make sure tracing messages are complete *) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

621 

3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

622 
fun add_comp_frame a cmp frame = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

623 
(trace_msg (fn () => "*** Add " ^ string_for_annotation a ^ 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

624 
string_for_comp_op cmp ^ " frame " ^ 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

625 
string_for_frame frame); 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

626 
fold (add_annotation_atom_comp cmp [] (A a) o snd) frame) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

627 

3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

628 
fun add_bound_frame j frame = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

629 
let 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

630 
val (new_frame, gen_frame) = List.partition (curry (op =) j o fst) frame 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

631 
in 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

632 
add_comp_frame New Leq new_frame 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

633 
#> add_comp_frame Gen Eq gen_frame 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

634 
end 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

635 

3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

636 
fun fresh_imp_frame ({max_fresh, ...} : mdata) sn = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

637 
let 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

638 
fun do_var (j, A Fls) = (j, A (case sn of Plus => Fls  Minus => Tru)) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

639 
 do_var (j, A Gen) = (j, A Gen) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

640 
 do_var (j, _) = (j, V (Unsynchronized.inc max_fresh)) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

641 
in map do_var end 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

642 

3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

643 
fun add_imp_frames res_frame frame1 frame2 = I 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

644 
(*### 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

645 
let 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

646 
fun do_var_pair (j, aa0) (_, aa1) (_, aa2) = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

647 
in map3 do_var_pair res_frame frame1 frame2 end 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

648 
*) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

649 

39359  650 
fun consider_term (mdata as {hol_ctxt = {thy, ctxt, stds, ...}, alpha_T, 
651 
max_fresh, ...}) = 

33192  652 
let 
37476
0681e46b4022
optimized code generated for datatype cases + more;
blanchet
parents:
37267
diff
changeset

653 
fun is_enough_eta_expanded t = 
0681e46b4022
optimized code generated for datatype cases + more;
blanchet
parents:
37267
diff
changeset

654 
case strip_comb t of 
39359  655 
(Const x, ts) => the_default 0 (arity_of_built_in_const thy stds x) 
37476
0681e46b4022
optimized code generated for datatype cases + more;
blanchet
parents:
37267
diff
changeset

656 
<= length ts 
0681e46b4022
optimized code generated for datatype cases + more;
blanchet
parents:
37267
diff
changeset

657 
 _ => true 
35672  658 
val mtype_for = fresh_mtype_for_type mdata false 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

659 
fun plus_set_mtype_for_dom M = 
40985
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

660 
MFun (M, A (if exists_alpha_sub_mtype M then Fls else Gen), bool_M) 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

661 
fun do_all T (gamma, cset) = 
33192  662 
let 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

663 
val abs_M = mtype_for (domain_type (domain_type T)) 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

664 
val body_M = mtype_for (body_type T) 
33192  665 
in 
40985
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

666 
(MFun (MFun (abs_M, A Gen, body_M), A Gen, body_M), 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

667 
(gamma, cset > add_mtype_is_complete abs_M)) 
33192  668 
end 
669 
fun do_equals T (gamma, cset) = 

35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

670 
let val M = mtype_for (domain_type T) in 
40985
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

671 
(MFun (M, A Gen, MFun (M, V (Unsynchronized.inc max_fresh), 
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

672 
mtype_for (nth_range_type 2 T))), 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

673 
(gamma, cset > add_mtype_is_concrete M)) 
33192  674 
end 
675 
fun do_robust_set_operation T (gamma, cset) = 

676 
let 

677 
val set_T = domain_type T 

35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

678 
val M1 = mtype_for set_T 
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

679 
val M2 = mtype_for set_T 
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

680 
val M3 = mtype_for set_T 
33192  681 
in 
40985
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

682 
(MFun (M1, A Gen, MFun (M2, A Gen, M3)), 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

683 
(gamma, cset > add_is_sub_mtype M1 M3 > add_is_sub_mtype M2 M3)) 
33192  684 
end 
685 
fun do_fragile_set_operation T (gamma, cset) = 

686 
let 

687 
val set_T = domain_type T 

35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

688 
val set_M = mtype_for set_T 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

689 
fun custom_mtype_for (T as Type (@{type_name fun}, [T1, T2])) = 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

690 
if T = set_T then set_M 
40985
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

691 
else MFun (custom_mtype_for T1, A Gen, custom_mtype_for T2) 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

692 
 custom_mtype_for T = mtype_for T 
33192  693 
in 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

694 
(custom_mtype_for T, (gamma, cset > add_mtype_is_concrete set_M)) 
33192  695 
end 
696 
fun do_pair_constr T accum = 

35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

697 
case mtype_for (nth_range_type 2 T) of 
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

698 
M as MPair (a_M, b_M) => 
40985
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

699 
(MFun (a_M, A Gen, MFun (b_M, A Gen, M)), accum) 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

700 
 M => raise MTYPE ("Nitpick_Mono.consider_term.do_pair_constr", [M], []) 
33192  701 
fun do_nth_pair_sel n T = 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

702 
case mtype_for (domain_type T) of 
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

703 
M as MPair (a_M, b_M) => 
40985
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

704 
pair (MFun (M, A Gen, if n = 0 then a_M else b_M)) 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

705 
 M => raise MTYPE ("Nitpick_Mono.consider_term.do_nth_pair_sel", [M], []) 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

706 
fun do_bounded_quantifier t0 abs_s abs_T connective_t bound_t body_t accum = 
33192  707 
let 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

708 
val abs_M = mtype_for abs_T 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

709 
val aa = V (Unsynchronized.inc max_fresh) 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

710 
val (bound_m, accum) = 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

711 
accum >> push_bound aa abs_T abs_M > do_term bound_t 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

712 
val expected_bound_M = plus_set_mtype_for_dom abs_M 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

713 
val (body_m, accum) = 
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

714 
accum > add_mtypes_equal expected_bound_M (mtype_of_mterm bound_m) 
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

715 
> do_term body_t > apfst pop_bound 
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

716 
val bound_M = mtype_of_mterm bound_m 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

717 
val (M1, aa', _) = dest_MFun bound_M 
33192  718 
in 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

719 
(MApp (MRaw (t0, MFun (bound_M, aa, bool_M)), 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

720 
MAbs (abs_s, abs_T, M1, aa', 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

721 
MApp (MApp (MRaw (connective_t, 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

722 
mtype_for (fastype_of connective_t)), 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

723 
MApp (bound_m, MRaw (Bound 0, M1))), 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

724 
body_m))), accum) 
33192  725 
end 
40987
7d52af07bff1
added frame component to Gamma in monotonicity calculus
blanchet
parents:
40986
diff
changeset

726 
and do_term t (accum as ({bound_Ts, bound_Ms, bound_frame, frees, consts}, 
7d52af07bff1
added frame component to Gamma in monotonicity calculus
blanchet
parents:
40986
diff
changeset

727 
cset)) = 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

728 
(trace_msg (fn () => " \<Gamma> \<turnstile> " ^ 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

729 
Syntax.string_of_term ctxt t ^ " : _?"); 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

730 
case t of 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

731 
@{const False} => 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

732 
(MRaw (t, bool_M), accum > add_comp_frame Fls Leq bound_frame) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

733 
 @{const True} => 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

734 
(MRaw (t, bool_M), accum > add_comp_frame Tru Leq bound_frame) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

735 
 Const (x as (s, T)) => 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

736 
(case AList.lookup (op =) consts x of 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

737 
SOME M => (M, accum) 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

738 
 NONE => 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

739 
if not (could_exist_alpha_subtype alpha_T T) then 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

740 
(mtype_for T, accum) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

741 
else case s of 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

742 
@{const_name all} => do_all T accum 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

743 
 @{const_name "=="} => do_equals T accum 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

744 
 @{const_name All} => do_all T accum 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

745 
 @{const_name Ex} => 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

746 
let val set_T = domain_type T in 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

747 
do_term (Abs (Name.uu, set_T, 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

748 
@{const Not} $ (HOLogic.mk_eq 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

749 
(Abs (Name.uu, domain_type set_T, 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

750 
@{const False}), 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

751 
Bound 0)))) accum 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

752 
>> mtype_of_mterm 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

753 
end 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

754 
 @{const_name HOL.eq} => do_equals T accum 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

755 
 @{const_name The} => 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

756 
(trace_msg (K "*** The"); raise UNSOLVABLE ()) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

757 
 @{const_name Eps} => 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

758 
(trace_msg (K "*** Eps"); raise UNSOLVABLE ()) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

759 
 @{const_name If} => 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

760 
do_robust_set_operation (range_type T) accum 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

761 
>> curry3 MFun bool_M (A Gen) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

762 
 @{const_name Pair} => do_pair_constr T accum 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

763 
 @{const_name fst} => do_nth_pair_sel 0 T accum 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

764 
 @{const_name snd} => do_nth_pair_sel 1 T accum 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

765 
 @{const_name Id} => 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

766 
(MFun (mtype_for (domain_type T), A Gen, bool_M), accum) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

767 
 @{const_name converse} => 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

768 
let 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

769 
val x = Unsynchronized.inc max_fresh 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

770 
fun mtype_for_set T = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

771 
MFun (mtype_for (domain_type T), V x, bool_M) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

772 
val ab_set_M = domain_type T > mtype_for_set 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

773 
val ba_set_M = range_type T > mtype_for_set 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

774 
in (MFun (ab_set_M, A Gen, ba_set_M), accum) end 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

775 
 @{const_name trancl} => do_fragile_set_operation T accum 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

776 
 @{const_name rel_comp} => 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

777 
let 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

778 
val x = Unsynchronized.inc max_fresh 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

779 
fun mtype_for_set T = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

780 
MFun (mtype_for (domain_type T), V x, bool_M) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

781 
val bc_set_M = domain_type T > mtype_for_set 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

782 
val ab_set_M = domain_type (range_type T) > mtype_for_set 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

783 
val ac_set_M = nth_range_type 2 T > mtype_for_set 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

784 
in 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

785 
(MFun (bc_set_M, A Gen, MFun (ab_set_M, A Gen, ac_set_M)), 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

786 
accum) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

787 
end 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

788 
 @{const_name image} => 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

789 
let 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

790 
val a_M = mtype_for (domain_type (domain_type T)) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

791 
val b_M = mtype_for (range_type (domain_type T)) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

792 
in 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

793 
(MFun (MFun (a_M, A Gen, b_M), A Gen, 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

794 
MFun (plus_set_mtype_for_dom a_M, A Gen, 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

795 
plus_set_mtype_for_dom b_M)), accum) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

796 
end 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

797 
 @{const_name finite} => 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

798 
let val M1 = mtype_for (domain_type (domain_type T)) in 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

799 
(MFun (plus_set_mtype_for_dom M1, A Gen, bool_M), accum) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

800 
end 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

801 
 @{const_name Sigma} => 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

802 
let 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

803 
val x = Unsynchronized.inc max_fresh 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

804 
fun mtype_for_set T = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

805 
MFun (mtype_for (domain_type T), V x, bool_M) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

806 
val a_set_T = domain_type T 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

807 
val a_M = mtype_for (domain_type a_set_T) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

808 
val b_set_M = 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

809 
mtype_for_set (range_type (domain_type (range_type T))) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

810 
val a_set_M = mtype_for_set a_set_T 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

811 
val a_to_b_set_M = MFun (a_M, A Gen, b_set_M) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

812 
val ab_set_M = mtype_for_set (nth_range_type 2 T) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

813 
in 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

814 
(MFun (a_set_M, A Gen, MFun (a_to_b_set_M, A Gen, ab_set_M)), 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

815 
accum) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

816 
end 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

817 
 _ => 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

818 
if s = @{const_name safe_The} then 
33192  819 
let 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

820 
val a_set_M = mtype_for (domain_type T) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

821 
val a_M = dest_MFun a_set_M > #1 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

822 
in (MFun (a_set_M, A Gen, a_M), accum) end 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

823 
else if s = @{const_name ord_class.less_eq} andalso 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

824 
is_set_type (domain_type T) then 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

825 
do_fragile_set_operation T accum 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

826 
else if is_sel s then 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

827 
(mtype_for_sel mdata x, accum) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

828 
else if is_constr ctxt stds x then 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

829 
(mtype_for_constr mdata x, accum) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

830 
else if is_built_in_const thy stds x then 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

831 
(fresh_mtype_for_type mdata true T, accum) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

832 
else 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

833 
let val M = mtype_for T in 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

834 
(M, ({bound_Ts = bound_Ts, bound_Ms = bound_Ms, 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

835 
bound_frame = bound_frame, frees = frees, 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

836 
consts = (x, M) :: consts}, cset)) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

837 
end) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

838 
>> curry MRaw t 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

839 
> apsnd (add_comp_frame Gen Eq bound_frame) 
33192  840 
 Free (x as (_, T)) => 
841 
(case AList.lookup (op =) frees x of 

35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

842 
SOME M => (M, accum) 
33192  843 
 NONE => 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

844 
let val M = mtype_for T in 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

845 
(M, ({bound_Ts = bound_Ts, bound_Ms = bound_Ms, 
40987
7d52af07bff1
added frame component to Gamma in monotonicity calculus
blanchet
parents:
40986
diff
changeset

846 
bound_frame = bound_frame, frees = (x, M) :: frees, 
7d52af07bff1
added frame component to Gamma in monotonicity calculus
blanchet
parents:
40986
diff
changeset

847 
consts = consts}, cset)) 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

848 
end) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

849 
>> curry MRaw t > apsnd (add_comp_frame Gen Eq bound_frame) 
38179  850 
 Var _ => (trace_msg (K "*** Var"); raise UNSOLVABLE ()) 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

851 
 Bound j => 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

852 
(MRaw (t, nth bound_Ms j), 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

853 
accum > add_bound_frame (length bound_Ts  j  1) bound_frame) 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

854 
 Abs (s, T, t') => 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

855 
(case fin_fun_body T (fastype_of1 (T :: bound_Ts, t')) t' of 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

856 
SOME t' => 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

857 
let 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

858 
val M = mtype_for T 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

859 
val (m', accum) = do_term t' (accum >> push_bound (A Fls) T M) 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

860 
in (MAbs (s, T, M, A Fls, m'), accum >> pop_bound) end 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

861 
 NONE => 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

862 
((case t' of 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

863 
t1' $ Bound 0 => 
37476
0681e46b4022
optimized code generated for datatype cases + more;
blanchet
parents:
37267
diff
changeset

864 
if not (loose_bvar1 (t1', 0)) andalso 
0681e46b4022
optimized code generated for datatype cases + more;
blanchet
parents:
37267
diff
changeset

865 
is_enough_eta_expanded t1' then 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

866 
do_term (incr_boundvars ~1 t1') accum 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

867 
else 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

868 
raise SAME () 
38864
4abe644fcea5
formerly unnamed infix equality now named HOL.eq
haftmann
parents:
38795
diff
changeset

869 
 (t11 as Const (@{const_name HOL.eq}, _)) $ Bound 0 $ t13 => 
37476
0681e46b4022
optimized code generated for datatype cases + more;
blanchet
parents:
37267
diff
changeset

870 
if not (loose_bvar1 (t13, 0)) then 
0681e46b4022
optimized code generated for datatype cases + more;
blanchet
parents:
37267
diff
changeset

871 
do_term (incr_boundvars ~1 (t11 $ t13)) accum 
0681e46b4022
optimized code generated for datatype cases + more;
blanchet
parents:
37267
diff
changeset

872 
else 
0681e46b4022
optimized code generated for datatype cases + more;
blanchet
parents:
37267
diff
changeset

873 
raise SAME () 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

874 
 _ => raise SAME ()) 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

875 
handle SAME () => 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

876 
let 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

877 
val M = mtype_for T 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

878 
val aa = V (Unsynchronized.inc max_fresh) 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

879 
val (m', accum) = 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

880 
do_term t' (accum >> push_bound aa T M) 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

881 
in (MAbs (s, T, M, aa, m'), accum >> pop_bound) end)) 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

882 
 (t0 as @{const implies}) $ t1 $ t2 => 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

883 
let 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

884 
val frame1 = fresh_imp_frame mdata Minus bound_frame 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

885 
val frame2 = fresh_imp_frame mdata Plus bound_frame 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

886 
val (m0, accum) = accum > do_term t0 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

887 
val (m1, accum) = accum >> set_frame frame1 > do_term t1 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

888 
val (m2, accum) = accum >> set_frame frame2 > do_term t2 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

889 
in 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

890 
(MApp (MApp (m0, m1), m2), 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

891 
accum >> set_frame bound_frame 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

892 
> add_imp_frames bound_frame frame1 frame2) 
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

893 
end 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

894 
 (t0 as Const (@{const_name All}, _)) 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

895 
$ Abs (s', T', (t10 as @{const HOL.implies}) 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

896 
$ (t11 $ Bound 0) $ t12) => 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

897 
do_bounded_quantifier t0 s' T' t10 t11 t12 accum 
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

898 
 (t0 as Const (@{const_name Ex}, _)) 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

899 
$ Abs (s', T', (t10 as @{const HOL.conj}) 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

900 
$ (t11 $ Bound 0) $ t12) => 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

901 
do_bounded_quantifier t0 s' T' t10 t11 t12 accum 
33192  902 
 Const (@{const_name Let}, _) $ t1 $ t2 => 
903 
do_term (betapply (t2, t1)) accum 

904 
 t1 $ t2 => 

905 
let 

35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

906 
val (m1, accum) = do_term t1 accum 
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

907 
val (m2, accum) = do_term t2 accum 
33192  908 
in 
35812
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

909 
let 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

910 
val M11 = mtype_of_mterm m1 > dest_MFun > #1 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

911 
val M2 = mtype_of_mterm m2 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

912 
in (MApp (m1, m2), accum > add_is_sub_mtype M2 M11) end 
33192  913 
end) 
38179  914 
> tap (fn (m, _) => trace_msg (fn () => " \<Gamma> \<turnstile> " ^ 
915 
string_for_mterm ctxt m)) 

33192  916 
in do_term end 
917 

35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

918 
fun force_minus_funs 0 _ = I 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

919 
 force_minus_funs n (M as MFun (M1, _, M2)) = 
40985
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

920 
add_mtypes_equal M (MFun (M1, A Gen, M2)) #> force_minus_funs (n  1) M2 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

921 
 force_minus_funs _ M = 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

922 
raise MTYPE ("Nitpick_Mono.force_minus_funs", [M], []) 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

923 
fun consider_general_equals mdata def (x as (_, T)) t1 t2 accum = 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

924 
let 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

925 
val (m1, accum) = consider_term mdata t1 accum 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

926 
val (m2, accum) = consider_term mdata t2 accum 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

927 
val M1 = mtype_of_mterm m1 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

928 
val M2 = mtype_of_mterm m2 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

929 
val accum = accum > add_mtypes_equal M1 M2 
35672  930 
val body_M = fresh_mtype_for_type mdata false (nth_range_type 2 T) 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

931 
val m = MApp (MApp (MRaw (Const x, 
40985
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

932 
MFun (M1, A Gen, MFun (M2, A Gen, body_M))), m1), m2) 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

933 
in 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

934 
(m, if def then 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

935 
let val (head_m, arg_ms) = strip_mcomb m1 in 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

936 
accum > force_minus_funs (length arg_ms) (mtype_of_mterm head_m) 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

937 
end 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

938 
else 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

939 
accum) 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

940 
end 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

941 

35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

942 
fun consider_general_formula (mdata as {hol_ctxt = {ctxt, ...}, ...}) = 
33192  943 
let 
35672  944 
val mtype_for = fresh_mtype_for_type mdata false 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

945 
val do_term = consider_term mdata 
35812
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

946 
fun do_formula sn t accum = 
33192  947 
let 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

948 
fun do_quantifier (quant_x as (quant_s, _)) abs_s abs_T body_t = 
33192  949 
let 
35385
29f81babefd7
improved precision of infinite "shallow" datatypes in Nitpick;
blanchet
parents:
35384
diff
changeset

950 
val abs_M = mtype_for abs_T 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

951 
val a = Gen (* FIXME: strengthen *) 
34982
7b8c366e34a2
added support for nonstandard models to Nitpick (based on an idea by Koen Claessen) and did other fixes to Nitpick
blanchet
parents:
34936
diff
changeset

952 
val side_cond = ((sn = Minus) = (quant_s = @{const_name Ex})) 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

953 
val (body_m, accum) = 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

954 
accum > side_cond ? add_mtype_is_complete abs_M 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

955 
>> push_bound (A a) abs_T abs_M > do_formula sn body_t 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

956 
val body_M = mtype_of_mterm body_m 
33192  957 
in 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

958 
(MApp (MRaw (Const quant_x, 
40985
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

959 
MFun (MFun (abs_M, A Gen, body_M), A Gen, body_M)), 
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

960 
MAbs (abs_s, abs_T, abs_M, A Gen, body_m)), 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

961 
accum >> pop_bound) 
33192  962 
end 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

963 
fun do_equals x t1 t2 = 
33192  964 
case sn of 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

965 
Plus => do_term t accum 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

966 
 Minus => consider_general_equals mdata false x t1 t2 accum 
33192  967 
in 
38179  968 
(trace_msg (fn () => " \<Gamma> \<turnstile> " ^ 
969 
Syntax.string_of_term ctxt t ^ " : o\<^sup>" ^ 

970 
string_for_sign sn ^ "?"); 

37704
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

971 
case t of 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

972 
Const (x as (@{const_name all}, _)) $ Abs (s1, T1, t1) => 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

973 
do_quantifier x s1 T1 t1 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

974 
 Const (x as (@{const_name "=="}, _)) $ t1 $ t2 => do_equals x t1 t2 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

975 
 @{const Trueprop} $ t1 => 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

976 
let val (m1, accum) = do_formula sn t1 accum in 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

977 
(MApp (MRaw (@{const Trueprop}, mtype_for (bool_T > prop_T)), 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

978 
m1), accum) 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

979 
end 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

980 
 @{const Not} $ t1 => 
40985
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

981 
let val (m1, accum) = do_formula (negate_sign sn) t1 accum in 
37704
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

982 
(MApp (MRaw (@{const Not}, mtype_for (bool_T > bool_T)), m1), 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

983 
accum) 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

984 
end 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

985 
 Const (x as (@{const_name All}, _)) $ Abs (s1, T1, t1) => 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

986 
do_quantifier x s1 T1 t1 
39345  987 
 Const (x0 as (@{const_name Ex}, T0)) 
37704
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

988 
$ (t1 as Abs (s1, T1, t1')) => 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

989 
(case sn of 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

990 
Plus => do_quantifier x0 s1 T1 t1' 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

991 
 Minus => 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

992 
(* FIXME: Move elsewhere *) 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

993 
do_term (@{const Not} 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

994 
$ (HOLogic.eq_const (domain_type T0) $ t1 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

995 
$ Abs (Name.uu, T1, @{const False}))) accum) 
38864
4abe644fcea5
formerly unnamed infix equality now named HOL.eq
haftmann
parents:
38795
diff
changeset

996 
 Const (x as (@{const_name HOL.eq}, _)) $ t1 $ t2 => 
37704
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

997 
do_equals x t1 t2 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

998 
 Const (@{const_name Let}, _) $ t1 $ t2 => 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

999 
do_formula sn (betapply (t2, t1)) accum 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

1000 
 (t0 as Const (s0, _)) $ t1 $ t2 => 
38199
8a9cace789d6
deal correctly with Pure.conjunction in mono check
blanchet
parents:
38190
diff
changeset

1001 
if s0 = @{const_name "==>"} orelse 
8a9cace789d6
deal correctly with Pure.conjunction in mono check
blanchet
parents:
38190
diff
changeset

1002 
s0 = @{const_name Pure.conjunction} orelse 
38795
848be46708dc
formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents:
38786
diff
changeset

1003 
s0 = @{const_name HOL.conj} orelse 
848be46708dc
formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents:
38786
diff
changeset

1004 
s0 = @{const_name HOL.disj} orelse 
38786
e46e7a9cb622
formerly unnamed infix impliciation now named HOL.implies
haftmann
parents:
38199
diff
changeset

1005 
s0 = @{const_name HOL.implies} then 
37704
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

1006 
let 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

1007 
val impl = (s0 = @{const_name "==>"} orelse 
38786
e46e7a9cb622
formerly unnamed infix impliciation now named HOL.implies
haftmann
parents:
38199
diff
changeset

1008 
s0 = @{const_name HOL.implies}) 
40985
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

1009 
val (m1, accum) = 
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

1010 
do_formula (sn > impl ? negate_sign) t1 accum 
37704
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

1011 
val (m2, accum) = do_formula sn t2 accum 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

1012 
in 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

1013 
(MApp (MApp (MRaw (t0, mtype_for (fastype_of t0)), m1), m2), 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

1014 
accum) 
39316
b6c4385ab400
change defaults of Auto Nitpick so that it consumes less resources (time and Kodkod threads)
blanchet
parents:
38864
diff
changeset

1015 
end 
37704
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

1016 
else 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

1017 
do_term t accum 
c6161bee8486
adapt Nitpick to "prod_case" and "*" > "sum" renaming;
blanchet
parents:
37678
diff
changeset

1018 
 _ => do_term t accum) 
33192  1019 
end 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1020 
> tap (fn (m, _) => 
38179  1021 
trace_msg (fn () => "\<Gamma> \<turnstile> " ^ 
1022 
string_for_mterm ctxt m ^ " : o\<^sup>" ^ 

1023 
string_for_sign sn)) 

33192  1024 
in do_formula end 
1025 

1026 
(* The harmless axiom optimization below is somewhat too aggressive in the face 

1027 
of (rather peculiar) userdefined axioms. *) 

1028 
val harmless_consts = 

1029 
[@{const_name ord_class.less}, @{const_name ord_class.less_eq}] 

1030 
val bounteous_consts = [@{const_name bisim}] 

1031 

35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1032 
fun is_harmless_axiom ({no_harmless = true, ...} : mdata) _ = false 
39359  1033 
 is_harmless_axiom {hol_ctxt = {thy, stds, ...}, ...} t = 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1034 
Term.add_consts t [] 
39359  1035 
> filter_out (is_built_in_const thy stds) 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1036 
> (forall (member (op =) harmless_consts o original_name o fst) orf 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1037 
exists (member (op =) bounteous_consts o fst)) 
33192  1038 

35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1039 
fun consider_nondefinitional_axiom mdata t = 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1040 
if is_harmless_axiom mdata t then pair (MRaw (t, dummy_M)) 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1041 
else consider_general_formula mdata Plus t 
33192  1042 

37256
0dca1ec52999
thread along context instead of theory for typedef lookup
blanchet
parents:
36385
diff
changeset

1043 
fun consider_definitional_axiom (mdata as {hol_ctxt = {ctxt, ...}, ...}) t = 
0dca1ec52999
thread along context instead of theory for typedef lookup
blanchet
parents:
36385
diff
changeset

1044 
if not (is_constr_pattern_formula ctxt t) then 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1045 
consider_nondefinitional_axiom mdata t 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1046 
else if is_harmless_axiom mdata t then 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1047 
pair (MRaw (t, dummy_M)) 
33192  1048 
else 
1049 
let 

35672  1050 
val mtype_for = fresh_mtype_for_type mdata false 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1051 
val do_term = consider_term mdata 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1052 
fun do_all quant_t abs_s abs_T body_t accum = 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1053 
let 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1054 
val abs_M = mtype_for abs_T 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1055 
val (body_m, accum) = 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

1056 
accum >> push_bound (A Gen) abs_T abs_M > do_formula body_t 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1057 
val body_M = mtype_of_mterm body_m 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1058 
in 
40985
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

1059 
(MApp (MRaw (quant_t, MFun (MFun (abs_M, A Gen, body_M), A Gen, 
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

1060 
body_M)), 
8b870370c26f
started generalizing monotonicity code to accommodate new calculus
blanchet
parents:
40722
diff
changeset

1061 
MAbs (abs_s, abs_T, abs_M, A Gen, body_m)), 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1062 
accum >> pop_bound) 
33192  1063 
end 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1064 
and do_conjunction t0 t1 t2 accum = 
33192  1065 
let 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1066 
val (m1, accum) = do_formula t1 accum 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1067 
val (m2, accum) = do_formula t2 accum 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1068 
in 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1069 
(MApp (MApp (MRaw (t0, mtype_for (fastype_of t0)), m1), m2), accum) 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1070 
end 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1071 
and do_implies t0 t1 t2 accum = 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1072 
let 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1073 
val (m1, accum) = do_term t1 accum 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1074 
val (m2, accum) = do_formula t2 accum 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1075 
in 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1076 
(MApp (MApp (MRaw (t0, mtype_for (fastype_of t0)), m1), m2), accum) 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1077 
end 
35812
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1078 
and do_formula t accum = 
33192  1079 
case t of 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1080 
(t0 as Const (@{const_name all}, _)) $ Abs (s1, T1, t1) => 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1081 
do_all t0 s1 T1 t1 accum 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1082 
 @{const Trueprop} $ t1 => 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1083 
let val (m1, accum) = do_formula t1 accum in 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1084 
(MApp (MRaw (@{const Trueprop}, mtype_for (bool_T > prop_T)), 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1085 
m1), accum) 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1086 
end 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1087 
 Const (x as (@{const_name "=="}, _)) $ t1 $ t2 => 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1088 
consider_general_equals mdata true x t1 t2 accum 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1089 
 (t0 as @{const "==>"}) $ t1 $ t2 => do_implies t0 t1 t2 accum 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1090 
 (t0 as @{const Pure.conjunction}) $ t1 $ t2 => 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1091 
do_conjunction t0 t1 t2 accum 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1092 
 (t0 as Const (@{const_name All}, _)) $ Abs (s0, T1, t1) => 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1093 
do_all t0 s0 T1 t1 accum 
38864
4abe644fcea5
formerly unnamed infix equality now named HOL.eq
haftmann
parents:
38795
diff
changeset

1094 
 Const (x as (@{const_name HOL.eq}, _)) $ t1 $ t2 => 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1095 
consider_general_equals mdata true x t1 t2 accum 
38795
848be46708dc
formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents:
38786
diff
changeset

1096 
 (t0 as @{const HOL.conj}) $ t1 $ t2 => do_conjunction t0 t1 t2 accum 
38786
e46e7a9cb622
formerly unnamed infix impliciation now named HOL.implies
haftmann
parents:
38199
diff
changeset

1097 
 (t0 as @{const HOL.implies}) $ t1 $ t2 => do_implies t0 t1 t2 accum 
33232
f93390060bbe
internal renaming in Nitpick and fixed Kodkodi invokation on Linux;
blanchet
parents:
33192
diff
changeset

1098 
 _ => raise TERM ("Nitpick_Mono.consider_definitional_axiom.\ 
33192  1099 
\do_formula", [t]) 
1100 
in do_formula t end 

1101 

40989  1102 
fun string_for_mtype_of_term ctxt asgs t M = 
1103 
Syntax.string_of_term ctxt t ^ " : " ^ string_for_mtype (resolve_mtype asgs M) 

33192  1104 

40989  1105 
fun print_mtype_context ctxt asgs ({frees, consts, ...} : mtype_context) = 
38179  1106 
trace_msg (fn () => 
40989  1107 
map (fn (x, M) => string_for_mtype_of_term ctxt asgs (Free x) M) frees @ 
1108 
map (fn (x, M) => string_for_mtype_of_term ctxt asgs (Const x) M) consts 

37476
0681e46b4022
optimized code generated for datatype cases + more;
blanchet
parents:
37267
diff
changeset

1109 
> cat_lines) 
33192  1110 

35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1111 
fun amass f t (ms, accum) = 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1112 
let val (m, accum) = f t accum in (m :: ms, accum) end 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1113 

40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

1114 
fun infer which no_harmless (hol_ctxt as {ctxt, ...}) binarize calculus alpha_T 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1115 
(nondef_ts, def_ts) = 
33192  1116 
let 
38179  1117 
val _ = trace_msg (fn () => "****** " ^ which ^ " analysis: " ^ 
1118 
string_for_mtype MAlpha ^ " is " ^ 

1119 
Syntax.string_of_typ ctxt alpha_T) 

35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1120 
val mdata as {max_fresh, constr_mcache, ...} = 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1121 
initial_mdata hol_ctxt binarize no_harmless alpha_T 
40994
3bdb8df0daf0
more work on frames in the new monotonicity calculus
blanchet
parents:
40993
diff
changeset

1122 
val accum = (initial_gamma, ([], [])) 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1123 
val (nondef_ms, accum) = 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1124 
([], accum) > amass (consider_general_formula mdata Plus) (hd nondef_ts) 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1125 
> fold (amass (consider_nondefinitional_axiom mdata)) 
35386
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1126 
(tl nondef_ts) 
45a4e19d3ebd
more work on the new monotonicity stuff in Nitpick
blanchet
parents:
35385
diff
changeset

1127 
val (def_ms, (gamma, cset)) = 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1128 
([], accum) > fold (amass (consider_definitional_axiom mdata)) def_ts 
33192  1129 
in 
40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

1130 
case solve calculus (!max_fresh) cset of 
40989  1131 
SOME asgs => (print_mtype_context ctxt asgs gamma; 
1132 
SOME (asgs, (nondef_ms, def_ms), !constr_mcache)) 

35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1133 
 _ => NONE 
33192  1134 
end 
35812
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1135 
handle UNSOLVABLE () => NONE 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1136 
 MTYPE (loc, Ms, Ts) => 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1137 
raise BAD (loc, commas (map string_for_mtype Ms @ 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1138 
map (Syntax.string_of_typ ctxt) Ts)) 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1139 
 MTERM (loc, ms) => 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1140 
raise BAD (loc, commas (map (string_for_mterm ctxt) ms)) 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1141 

40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

1142 
fun formulas_monotonic hol_ctxt = 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

1143 
is_some oooo infer "Monotonicity" false hol_ctxt 
35665
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1144 

ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1145 
fun fin_fun_constr T1 T2 = 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1146 
(@{const_name FinFun}, (T1 > T2) > Type (@{type_name fin_fun}, [T1, T2])) 
ff2bf50505ab
added "finitize" option to Nitpick + remove dependency on "Coinductive_List"
blanchet
parents:
35386
diff
changeset

1147 

40993
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

1148 
fun finitize_funs (hol_ctxt as {thy, ctxt, stds, constr_cache, ...}) binarize 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

1149 
finitizes calculus alpha_T tsp = 
52ee2a187cdb
support 3 monotonicity calculi in one and fix soundness bug
blanchet
parents:
40991
diff
changeset

1150 
case infer "Finiteness" true hol_ctxt binarize calculus alpha_T tsp of 
40989  1151 
SOME (asgs, msp, constr_mtypes) => 
1152 
if forall (curry (op =) Gen o snd) asgs then 

35812
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1153 
tsp 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1154 
else 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1155 
let 
40988  1156 
fun should_finitize T aa = 
35812
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1157 
case triple_lookup (type_match thy) finitizes T of 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1158 
SOME (SOME false) => false 
40989  1159 
 _ => resolve_annotation_atom asgs aa = A Fls 
35812
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1160 
fun type_from_mtype T M = 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1161 
case (M, T) of 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1162 
(MAlpha, _) => T 
40988  1163 
 (MFun (M1, aa, M2), Type (@{type_name fun}, Ts)) => 
1164 
Type (if should_finitize T aa then @{type_name fin_fun} 

35812
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1165 
else @{type_name fun}, map2 type_from_mtype Ts [M1, M2]) 
38190
b02e204b613a
get rid of all "optimizations" regarding "unit" and other cardinality1 types
blanchet
parents:
38179
diff
changeset

1166 
 (MPair (M1, M2), Type (@{type_name prod}, Ts)) => 
b02e204b613a
get rid of all "optimizations" regarding "unit" and other cardinality1 types
blanchet
parents:
38179
diff
changeset

1167 
Type (@{type_name prod}, map2 type_from_mtype Ts [M1, M2]) 
35812
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1168 
 (MType _, _) => T 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1169 
 _ => raise MTYPE ("Nitpick_Mono.finitize_funs.type_from_mtype", 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1170 
[M], [T]) 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1171 
fun finitize_constr (x as (s, T)) = 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1172 
(s, case AList.lookup (op =) constr_mtypes x of 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1173 
SOME M => type_from_mtype T M 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1174 
 NONE => T) 
37267
5c47d633c84d
fix code that used to raise an exception if bound variables were given a finite function type, because the old vs. new bound variable types were confused
blanchet
parents:
37260
diff
changeset

1175 
fun term_from_mterm new_Ts old_Ts m = 
35812
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1176 
case m of 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1177 
MRaw (t, M) => 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1178 
let 
37267
5c47d633c84d
fix code that used to raise an exception if bound variables were given a finite function type, because the old vs. new bound variable types were confused
blanchet
parents:
37260
diff
changeset

1179 
val T = fastype_of1 (old_Ts, t) 
35812
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1180 
val T' = type_from_mtype T M 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1181 
in 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1182 
case t of 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1183 
Const (x as (s, _)) => 
37476
0681e46b4022
optimized code generated for datatype cases + more;
blanchet
parents:
37267
diff
changeset

1184 
if s = @{const_name finite} then 
35812
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1185 
case domain_type T' of 
394fe2b064cd
solve error in "Nitpick_Mono" + short path when no finite functions are inferred
blanchet
parents:
35672
diff
changeset

1186 
set_T' as Type (@{type_name fin_fun}, _) => 
394fe2b064cd
solve error in "Nitpick_Mono" + 