(* Title:     HOL/MiniML/Generalize.thy
   ID:        $Id$
   Author:    Wolfgang Naraschewski and Tobias Nipkow
   Copyright  1996 TU Muenchen
Generalizing type schemes with respect to a context
*)
Generalize = Instance +
(* gen: binding (generalising) the variables which are not free in the context *)
types ctxt = type_scheme list
    
consts
  gen :: [ctxt, typ] => type_scheme
primrec
  "gen A (TVar n) = (if (n:(free_tv A)) then (FVar n) else (BVar n))"
  "gen A (t1 -> t2) = (gen A t1) =-> (gen A t2)"
(* executable version of gen: Implementation with free_tv_ML *)
consts
  gen_ML_aux :: [nat list, typ] => type_scheme
primrec
  "gen_ML_aux A (TVar n) = (if (n mem A) then (FVar n) else (BVar n))"
  "gen_ML_aux A (t1 -> t2) = (gen_ML_aux A t1) =-> (gen_ML_aux A t2)"
consts
  gen_ML :: [ctxt, typ] => type_scheme
defs
  gen_ML_def "gen_ML A t == gen_ML_aux (free_tv_ML A) t"
end