src/Pure/term.ML
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added variant_name;
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(*  Title:      Pure/term.ML
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    ID:         $Id$
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    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
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    Copyright   Cambridge University 1992
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Simply typed lambda-calculus: types, terms, and basic operations.
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*)
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infix 9  $;
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infixr 5 -->;
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infixr --->;
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infix aconv;
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signature BASIC_TERM =
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sig
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  type indexname
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  type class
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  type sort
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  type arity
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  datatype typ =
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    Type  of string * typ list |
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    TFree of string * sort |
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    TVar  of indexname * sort
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  datatype term =
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    Const of string * typ |
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    Free of string * typ |
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    Var of indexname * typ |
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    Bound of int |
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    Abs of string * typ * term |
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    $ of term * term
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  exception TYPE of string * typ list * term list
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  exception TERM of string * term list
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  val dummyT: typ
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  val no_dummyT: typ -> typ
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  val --> : typ * typ -> typ
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  val ---> : typ list * typ -> typ
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  val dest_Type: typ -> string * typ list
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  val dest_TVar: typ -> indexname * sort
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  val dest_TFree: typ -> string * sort
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  val is_Bound: term -> bool
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  val is_Const: term -> bool
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  val is_Free: term -> bool
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  val is_Var: term -> bool
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  val is_TVar: typ -> bool
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  val is_funtype: typ -> bool
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  val dest_Const: term -> string * typ
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  val dest_Free: term -> string * typ
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  val dest_Var: term -> indexname * typ
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  val domain_type: typ -> typ
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  val range_type: typ -> typ
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  val binder_types: typ -> typ list
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  val body_type: typ -> typ
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  val strip_type: typ -> typ list * typ
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  val type_of1: typ list * term -> typ
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  val type_of: term -> typ
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  val fastype_of1: typ list * term -> typ
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  val fastype_of: term -> typ
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  val list_abs: (string * typ) list * term -> term
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  val strip_abs: term -> (string * typ) list * term
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  val strip_abs_body: term -> term
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  val strip_abs_vars: term -> (string * typ) list
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  val strip_qnt_body: string -> term -> term
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  val strip_qnt_vars: string -> term -> (string * typ) list
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  val list_comb: term * term list -> term
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  val strip_comb: term -> term * term list
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  val head_of: term -> term
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  val size_of_term: term -> int
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  val map_atyps: (typ -> typ) -> typ -> typ
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  val map_aterms: (term -> term) -> term -> term
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  val map_type_tvar: (indexname * sort -> typ) -> typ -> typ
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  val map_type_tfree: (string * sort -> typ) -> typ -> typ
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  val map_term_types: (typ -> typ) -> term -> term
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  val fold_atyps: (typ -> 'a -> 'a) -> typ -> 'a -> 'a
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  val fold_aterms: (term -> 'a -> 'a) -> term -> 'a -> 'a
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  val fold_term_types: (term -> typ -> 'a -> 'a) -> term -> 'a -> 'a
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  val fold_types: (typ -> 'a -> 'a) -> term -> 'a -> 'a
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  val it_term_types: (typ * 'a -> 'a) -> term * 'a -> 'a
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  val add_term_names: term * string list -> string list
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  val add_term_varnames: term -> indexname list -> indexname list
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  val term_varnames: term -> indexname list
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  val find_free: term -> string -> term option
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  val aconv: term * term -> bool
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  val aconvs: term list * term list -> bool
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  structure Vartab: TABLE
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  structure Typtab: TABLE
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  structure Termtab: TABLE
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  val itselfT: typ -> typ
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  val a_itselfT: typ
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  val propT: typ
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  val implies: term
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  val all: typ -> term
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  val equals: typ -> term
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  val strip_all_body: term -> term
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  val strip_all_vars: term -> (string * typ) list
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  val incr_bv: int * int * term -> term
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  val incr_boundvars: int -> term -> term
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  val add_loose_bnos: term * int * int list -> int list
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  val loose_bnos: term -> int list
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  val loose_bvar: term * int -> bool
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  val loose_bvar1: term * int -> bool
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  val subst_bounds: term list * term -> term
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  val subst_bound: term * term -> term
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  val betapply: term * term -> term
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  val betapplys: term * term list -> term
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  val eq_ix: indexname * indexname -> bool
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  val ins_ix: indexname * indexname list -> indexname list
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  val mem_ix: indexname * indexname list -> bool
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  val mem_term: term * term list -> bool
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  val ins_term: term * term list -> term list
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  val could_unify: term * term -> bool
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  val subst_free: (term * term) list -> term -> term
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  val xless: (string * int) * indexname -> bool
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  val abstract_over: term * term -> term
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  val lambda: term -> term -> term
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  val absfree: string * typ * term -> term
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  val absdummy: typ * term -> term
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  val list_abs_free: (string * typ) list * term -> term
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  val list_all_free: (string * typ) list * term -> term
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  val list_all: (string * typ) list * term -> term
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  val subst_atomic: (term * term) list -> term -> term
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  val typ_subst_atomic: (typ * typ) list -> typ -> typ
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  val subst_atomic_types: (typ * typ) list -> term -> term
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  val typ_subst_TVars: (indexname * typ) list -> typ -> typ
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  val subst_TVars: (indexname * typ) list -> term -> term
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  val subst_Vars: (indexname * term) list -> term -> term
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  val subst_vars: (indexname * typ) list * (indexname * term) list -> term -> term
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  val is_first_order: string list -> term -> bool
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  val maxidx_of_typ: typ -> int
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  val maxidx_of_typs: typ list -> int
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  val maxidx_of_term: term -> int
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  val variant: string list -> string -> string
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  val variantlist: string list * string list -> string list
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    (*note reversed order of args wrt. variant!*)
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  val add_term_consts: term * string list -> string list
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  val term_consts: term -> string list
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  val exists_subterm: (term -> bool) -> term -> bool
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  val exists_Const: (string * typ -> bool) -> term -> bool
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  val add_term_free_names: term * string list -> string list
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  val add_typ_tvars: typ * (indexname * sort) list -> (indexname * sort) list
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  val add_typ_tfree_names: typ * string list -> string list
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  val add_typ_tfrees: typ * (string * sort) list -> (string * sort) list
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  val add_typ_varnames: typ * string list -> string list
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  val add_term_tvars: term * (indexname * sort) list -> (indexname * sort) list
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  val add_term_tfrees: term * (string * sort) list -> (string * sort) list
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  val add_term_tfree_names: term * string list -> string list
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  val add_term_tvarnames: term * string list -> string list
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  val typ_tfrees: typ -> (string * sort) list
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  val typ_tvars: typ -> (indexname * sort) list
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  val term_tfrees: term -> (string * sort) list
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  val term_tvars: term -> (indexname * sort) list
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  val add_typ_ixns: indexname list * typ -> indexname list
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  val add_term_tvar_ixns: term * indexname list -> indexname list
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  val add_term_vars: term * term list -> term list
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  val term_vars: term -> term list
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  val add_term_frees: term * term list -> term list
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  val term_frees: term -> term list
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  val variant_abs: string * typ * term -> string * term
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  val rename_wrt_term: term -> (string * typ) list -> (string * typ) list
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  val show_question_marks: bool ref
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end;
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signature TERM =
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sig
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  include BASIC_TERM
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  val argument_type_of: term -> typ
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  val add_tvarsT: typ -> (indexname * sort) list -> (indexname * sort) list
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  val add_tvars: term -> (indexname * sort) list -> (indexname * sort) list
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  val add_vars: term -> (indexname * typ) list -> (indexname * typ) list
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  val add_tfreesT: typ -> (string * sort) list -> (string * sort) list
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  val add_tfrees: term -> (string * sort) list -> (string * sort) list
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  val add_frees: term -> (string * typ) list -> (string * typ) list
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  val fast_indexname_ord: indexname * indexname -> order
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  val indexname_ord: indexname * indexname -> order
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  val sort_ord: sort * sort -> order
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  val typ_ord: typ * typ -> order
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  val fast_term_ord: term * term -> order
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  val term_ord: term * term -> order
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  val hd_ord: term * term -> order
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  val termless: term * term -> bool
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  val term_lpo: (string -> int) -> term * term -> order
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  val match_bvars: (term * term) * (string * string) list -> (string * string) list
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  val rename_abs: term -> term -> term -> term option
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  val eq_tvar: (indexname * sort) * (indexname * sort) -> bool
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  val eq_var: (indexname * typ) * (indexname * typ) -> bool
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  val tvar_ord: (indexname * sort) * (indexname * sort) -> order
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  val var_ord: (indexname * typ) * (indexname * typ) -> order
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  val instantiate: ((indexname * sort) * typ) list * ((indexname * typ) * term) list
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    -> term -> term
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  val instantiateT: ((indexname * sort) * typ) list -> typ -> typ
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  val maxidx_typ: typ -> int -> int
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  val maxidx_typs: typ list -> int -> int
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  val maxidx_term: term -> int -> int
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  val variant_name: (string -> bool) -> string -> string
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  val invent_names: string list -> string -> int -> string list
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  val dest_abs: string * typ * term -> string * term
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  val bound: int -> string
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  val is_bound: string -> bool
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  val zero_var_indexesT: typ -> typ
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  val zero_var_indexes: term -> term
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  val zero_var_indexes_inst: term ->
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    ((indexname * sort) * typ) list * ((indexname * typ) * term) list
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  val dummy_patternN: string
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  val dummy_pattern: typ -> term
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  val no_dummy_patterns: term -> term
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  val replace_dummy_patterns: int * term -> int * term
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  val is_replaced_dummy_pattern: indexname -> bool
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  val show_dummy_patterns: term -> term
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  val adhoc_freeze_vars: term -> term * string list
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  val string_of_vname: indexname -> string
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  val string_of_vname': indexname -> string
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  val str_of_term: term -> string
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end;
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structure Term: TERM =
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struct
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(*Indexnames can be quickly renamed by adding an offset to the integer part,
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  for resolution.*)
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type indexname = string * int;
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(* Types are classified by sorts. *)
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type class = string;
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type sort  = class list;
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type arity = string * sort list * sort;
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(* The sorts attached to TFrees and TVars specify the sort of that variable *)
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datatype typ = Type  of string * typ list
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             | TFree of string * sort
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             | TVar  of indexname * sort;
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(*Terms.  Bound variables are indicated by depth number.
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  Free variables, (scheme) variables and constants have names.
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  An term is "closed" if every bound variable of level "lev"
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  is enclosed by at least "lev" abstractions.
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  It is possible to create meaningless terms containing loose bound vars
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  or type mismatches.  But such terms are not allowed in rules. *)
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datatype term =
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    Const of string * typ
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  | Free  of string * typ
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  | Var   of indexname * typ
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  | Bound of int
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  | Abs   of string*typ*term
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  | op $  of term*term;
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(*Errors involving type mismatches*)
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exception TYPE of string * typ list * term list;
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(*Errors errors involving terms*)
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exception TERM of string * term list;
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(*Note variable naming conventions!
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    a,b,c: string
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    f,g,h: functions (including terms of function type)
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    i,j,m,n: int
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    t,u: term
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    v,w: indexnames
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    x,y: any
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    A,B,C: term (denoting formulae)
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    T,U: typ
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*)
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(** Types **)
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(*dummy type for parsing and printing etc.*)
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val dummyT = Type ("dummy", []);
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fun no_dummyT typ =
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  let
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    fun check (T as Type ("dummy", _)) =
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          raise TYPE ("Illegal occurrence of '_' dummy type", [T], [])
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      | check (Type (_, Ts)) = List.app check Ts
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      | check _ = ();
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  in check typ; typ end;
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fun S --> T = Type("fun",[S,T]);
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(*handy for multiple args: [T1,...,Tn]--->T  gives  T1-->(T2--> ... -->T)*)
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val op ---> = Library.foldr (op -->);
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fun dest_Type (Type x) = x
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  | dest_Type T = raise TYPE ("dest_Type", [T], []);
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fun dest_TVar (TVar x) = x
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  | dest_TVar T = raise TYPE ("dest_TVar", [T], []);
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fun dest_TFree (TFree x) = x
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  | dest_TFree T = raise TYPE ("dest_TFree", [T], []);
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(** Discriminators **)
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fun is_Bound (Bound _) = true
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  | is_Bound _         = false;
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fun is_Const (Const _) = true
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  | is_Const _ = false;
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fun is_Free (Free _) = true
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  | is_Free _ = false;
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fun is_Var (Var _) = true
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  | is_Var _ = false;
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fun is_TVar (TVar _) = true
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  | is_TVar _ = false;
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(*Differs from proofterm/is_fun in its treatment of TVar*)
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fun is_funtype (Type("fun",[_,_])) = true
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  | is_funtype _ = false;
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(** Destructors **)
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fun dest_Const (Const x) =  x
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  | dest_Const t = raise TERM("dest_Const", [t]);
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fun dest_Free (Free x) =  x
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  | dest_Free t = raise TERM("dest_Free", [t]);
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   320
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fun dest_Var (Var x) =  x
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  | dest_Var t = raise TERM("dest_Var", [t]);
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   323
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   324
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   325
fun domain_type (Type("fun", [T,_])) = T
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and range_type  (Type("fun", [_,T])) = T;
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   327
0
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(* maps  [T1,...,Tn]--->T  to the list  [T1,T2,...,Tn]*)
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fun binder_types (Type("fun",[S,T])) = S :: binder_types T
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  | binder_types _   =  [];
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   331
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   332
(* maps  [T1,...,Tn]--->T  to T*)
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   333
fun body_type (Type("fun",[S,T])) = body_type T
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  | body_type T   =  T;
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   335
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   336
(* maps  [T1,...,Tn]--->T  to   ([T1,T2,...,Tn], T)  *)
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fun strip_type T : typ list * typ =
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  (binder_types T, body_type T);
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   340
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   341
(*Compute the type of the term, checking that combinations are well-typed
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  Ts = [T0,T1,...] holds types of bound variables 0, 1, ...*)
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fun type_of1 (Ts, Const (_,T)) = T
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  | type_of1 (Ts, Free  (_,T)) = T
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  | type_of1 (Ts, Bound i) = (List.nth (Ts,i)
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        handle Subscript => raise TYPE("type_of: bound variable", [], [Bound i]))
0
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  | type_of1 (Ts, Var (_,T)) = T
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   348
  | type_of1 (Ts, Abs (_,T,body)) = T --> type_of1(T::Ts, body)
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wenzelm
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   349
  | type_of1 (Ts, f$u) =
0
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   350
      let val U = type_of1(Ts,u)
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   351
          and T = type_of1(Ts,f)
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      in case T of
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wenzelm
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   353
            Type("fun",[T1,T2]) =>
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wenzelm
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   354
              if T1=U then T2  else raise TYPE
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wenzelm
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   355
                    ("type_of: type mismatch in application", [T1,U], [f$u])
13000
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wenzelm
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   356
          | _ => raise TYPE
9536
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wenzelm
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   357
                    ("type_of: function type is expected in application",
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   358
                     [T,U], [f$u])
0
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   359
      end;
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   360
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   361
fun type_of t : typ = type_of1 ([],t);
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   362
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   363
(*Determines the type of a term, with minimal checking*)
13000
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wenzelm
parents: 12981
diff changeset
   364
fun fastype_of1 (Ts, f$u) =
61
f8c1922b78e3 Pure/term/fastype_of1: renamed from fastype_of
lcp
parents: 40
diff changeset
   365
    (case fastype_of1 (Ts,f) of
9536
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wenzelm
parents: 9319
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   366
        Type("fun",[_,T]) => T
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wenzelm
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   367
        | _ => raise TERM("fastype_of: expected function type", [f$u]))
61
f8c1922b78e3 Pure/term/fastype_of1: renamed from fastype_of
lcp
parents: 40
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   368
  | fastype_of1 (_, Const (_,T)) = T
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lcp
parents: 40
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   369
  | fastype_of1 (_, Free (_,T)) = T
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skalberg
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   370
  | fastype_of1 (Ts, Bound i) = (List.nth(Ts,i)
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skalberg
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   371
         handle Subscript => raise TERM("fastype_of: Bound", [Bound i]))
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
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   372
  | fastype_of1 (_, Var (_,T)) = T
61
f8c1922b78e3 Pure/term/fastype_of1: renamed from fastype_of
lcp
parents: 40
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   373
  | fastype_of1 (Ts, Abs (_,T,u)) = T --> fastype_of1 (T::Ts, u);
f8c1922b78e3 Pure/term/fastype_of1: renamed from fastype_of
lcp
parents: 40
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   374
f8c1922b78e3 Pure/term/fastype_of1: renamed from fastype_of
lcp
parents: 40
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   375
fun fastype_of t : typ = fastype_of1 ([],t);
0
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   376
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wenzelm
parents: 16667
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   377
(*Determine the argument type of a function*)
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wenzelm
parents: 16667
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   378
fun argument_type_of tm =
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wenzelm
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   379
  let
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wenzelm
parents: 16667
diff changeset
   380
    fun argT i (Type ("fun", [T, U])) = if i = 0 then T else argT (i - 1) U
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   381
      | argT _ T = raise TYPE ("argument_type_of", [T], []);
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
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   382
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   383
    fun arg 0 _ (Abs (_, T, _)) = T
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   384
      | arg i Ts (Abs (_, T, t)) = arg (i - 1) (T :: Ts) t
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   385
      | arg i Ts (t $ _) = arg (i + 1) Ts t
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   386
      | arg i Ts a = argT i (fastype_of1 (Ts, a));
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   387
  in arg 0 [] tm end;
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wenzelm
parents: 16667
diff changeset
   388
0
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clasohm
parents:
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   389
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   390
val list_abs = Library.foldr (fn ((x, T), t) => Abs (x, T, t));
10806
2eba1c06592c added list_abs;
wenzelm
parents: 10666
diff changeset
   391
18927
2e5b0f3f1418 added strip_abs
haftmann
parents: 18893
diff changeset
   392
fun strip_abs (Abs (a, T, t)) =
2e5b0f3f1418 added strip_abs
haftmann
parents: 18893
diff changeset
   393
      let val (a', t') = strip_abs t
2e5b0f3f1418 added strip_abs
haftmann
parents: 18893
diff changeset
   394
      in ((a, T) :: a', t') end
2e5b0f3f1418 added strip_abs
haftmann
parents: 18893
diff changeset
   395
  | strip_abs t = ([], t);
2e5b0f3f1418 added strip_abs
haftmann
parents: 18893
diff changeset
   396
0
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parents:
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   397
(* maps  (x1,...,xn)t   to   t  *)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   398
fun strip_abs_body (Abs(_,_,t))  =  strip_abs_body t
0
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clasohm
parents:
diff changeset
   399
  | strip_abs_body u  =  u;
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clasohm
parents:
diff changeset
   400
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clasohm
parents:
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   401
(* maps  (x1,...,xn)t   to   [x1, ..., xn]  *)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   402
fun strip_abs_vars (Abs(a,T,t))  =  (a,T) :: strip_abs_vars t
0
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clasohm
parents:
diff changeset
   403
  | strip_abs_vars u  =  [] : (string*typ) list;
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clasohm
parents:
diff changeset
   404
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clasohm
parents:
diff changeset
   405
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clasohm
parents:
diff changeset
   406
fun strip_qnt_body qnt =
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clasohm
parents:
diff changeset
   407
let fun strip(tm as Const(c,_)$Abs(_,_,t)) = if c=qnt then strip t else tm
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clasohm
parents:
diff changeset
   408
      | strip t = t
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clasohm
parents:
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   409
in strip end;
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clasohm
parents:
diff changeset
   410
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clasohm
parents:
diff changeset
   411
fun strip_qnt_vars qnt =
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clasohm
parents:
diff changeset
   412
let fun strip(Const(c,_)$Abs(a,T,t)) = if c=qnt then (a,T)::strip t else []
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clasohm
parents:
diff changeset
   413
      | strip t  =  [] : (string*typ) list
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clasohm
parents:
diff changeset
   414
in strip end;
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clasohm
parents:
diff changeset
   415
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clasohm
parents:
diff changeset
   416
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clasohm
parents:
diff changeset
   417
(* maps   (f, [t1,...,tn])  to  f(t1,...,tn) *)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   418
val list_comb : term * term list -> term = Library.foldl (op $);
0
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clasohm
parents:
diff changeset
   419
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clasohm
parents:
diff changeset
   420
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clasohm
parents:
diff changeset
   421
(* maps   f(t1,...,tn)  to  (f, [t1,...,tn]) ; naturally tail-recursive*)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   422
fun strip_comb u : term * term list =
0
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clasohm
parents:
diff changeset
   423
    let fun stripc (f$t, ts) = stripc (f, t::ts)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   424
        |   stripc  x =  x
0
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clasohm
parents:
diff changeset
   425
    in  stripc(u,[])  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   426
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   427
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   428
(* maps   f(t1,...,tn)  to  f , which is never a combination *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   429
fun head_of (f$t) = head_of f
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clasohm
parents:
diff changeset
   430
  | head_of u = u;
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clasohm
parents:
diff changeset
   431
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   432
16599
34f99c3221bb tuned sort_ord: pointer_eq;
wenzelm
parents: 16589
diff changeset
   433
(*number of atoms and abstractions in a term*)
34f99c3221bb tuned sort_ord: pointer_eq;
wenzelm
parents: 16589
diff changeset
   434
fun size_of_term tm =
34f99c3221bb tuned sort_ord: pointer_eq;
wenzelm
parents: 16589
diff changeset
   435
  let
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   436
    fun add_size (t $ u, n) = add_size (t, add_size (u, n))
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   437
      | add_size (Abs (_ ,_, t), n) = add_size (t, n + 1)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   438
      | add_size (_, n) = n + 1;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   439
  in add_size (tm, 0) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   440
18847
5fac129ae936 added map_atype, map_aterms
haftmann
parents: 18253
diff changeset
   441
fun map_atyps f (Type (a, Ts)) = Type (a, map (map_atyps f) Ts)
18976
4efb82669880 fixed the most silly bug conceivable in map_atyps
haftmann
parents: 18975
diff changeset
   442
  | map_atyps f T = f T;
18847
5fac129ae936 added map_atype, map_aterms
haftmann
parents: 18253
diff changeset
   443
5fac129ae936 added map_atype, map_aterms
haftmann
parents: 18253
diff changeset
   444
fun map_aterms f (t $ u) = map_aterms f t $ map_aterms f u
5fac129ae936 added map_atype, map_aterms
haftmann
parents: 18253
diff changeset
   445
  | map_aterms f (Abs (a, T, t)) = Abs (a, T, map_aterms f t)
5fac129ae936 added map_atype, map_aterms
haftmann
parents: 18253
diff changeset
   446
  | map_aterms f t = f t;
5fac129ae936 added map_atype, map_aterms
haftmann
parents: 18253
diff changeset
   447
18981
a7b7cf408cff map_type_tvar/tfree: map_atyps;
wenzelm
parents: 18976
diff changeset
   448
fun map_type_tvar f = map_atyps (fn TVar x => f x | T => T);
a7b7cf408cff map_type_tvar/tfree: map_atyps;
wenzelm
parents: 18976
diff changeset
   449
fun map_type_tfree f = map_atyps (fn TFree x => f x | T => T);
949
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
   450
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   451
fun map_term_types f =
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   452
  let
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   453
    fun map_aux (Const (a, T)) = Const (a, f T)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   454
      | map_aux (Free (a, T)) = Free (a, f T)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   455
      | map_aux (Var (v, T)) = Var (v, f T)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   456
      | map_aux (t as Bound _)  = t
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   457
      | map_aux (Abs (a, T, t)) = Abs (a, f T, map_aux t)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   458
      | map_aux (t $ u) = map_aux t $ map_aux u;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   459
  in map_aux end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   460
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   461
(* iterate a function over all types in a term *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   462
fun it_term_types f =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   463
let fun iter(Const(_,T), a) = f(T,a)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   464
      | iter(Free(_,T), a) = f(T,a)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   465
      | iter(Var(_,T), a) = f(T,a)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   466
      | iter(Abs(_,T,t), a) = iter(t,f(T,a))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   467
      | iter(f$u, a) = iter(f, iter(u, a))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   468
      | iter(Bound _, a) = a
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   469
in iter end
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   470
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   471
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   472
(* fold types and terms *)
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   473
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   474
(*fold atoms of type*)
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   475
fun fold_atyps f (Type (_, Ts)) = fold (fold_atyps f) Ts
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   476
  | fold_atyps f T = f T;
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   477
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   478
(*fold atoms of term*)
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   479
fun fold_aterms f (t $ u) = fold_aterms f t #> fold_aterms f u
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   480
  | fold_aterms f (Abs (_, _, t)) = fold_aterms f t
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   481
  | fold_aterms f a = f a;
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   482
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   483
(*fold types of term*)
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   484
fun fold_term_types f (t as Const (_, T)) = f t T
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   485
  | fold_term_types f (t as Free (_, T)) = f t T
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   486
  | fold_term_types f (t as Var (_, T)) = f t T
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   487
  | fold_term_types f (Bound _) = I
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   488
  | fold_term_types f (t as Abs (_, T, b)) = f t T #> fold_term_types f b
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   489
  | fold_term_types f (t $ u) = fold_term_types f t #> fold_term_types f u;
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   490
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   491
fun fold_types f = fold_term_types (K f);
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   492
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   493
(*collect variables*)
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   494
val add_tvarsT = fold_atyps (fn TVar v => insert (op =) v | _ => I);
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   495
val add_tvars = fold_types add_tvarsT;
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   496
val add_vars = fold_aterms (fn Var v => insert (op =) v | _ => I);
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   497
val add_tfreesT = fold_atyps (fn TFree v => insert (op =) v | _ => I);
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   498
val add_tfrees = fold_types add_tfreesT;
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   499
val add_frees = fold_aterms (fn Free v => insert (op =) v | _ => I);
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   500
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   501
(*collect variable names*)
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   502
val add_term_varnames = fold_aterms (fn Var (xi, _) => insert (op =) xi | _ => I);
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   503
fun term_varnames t = add_term_varnames t [];
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   504
18149
c6899e23b5ff added find_free (from Isar/proof_context.ML);
wenzelm
parents: 18131
diff changeset
   505
fun find_free t x =
c6899e23b5ff added find_free (from Isar/proof_context.ML);
wenzelm
parents: 18131
diff changeset
   506
  let
c6899e23b5ff added find_free (from Isar/proof_context.ML);
wenzelm
parents: 18131
diff changeset
   507
    exception Found of term;
c6899e23b5ff added find_free (from Isar/proof_context.ML);
wenzelm
parents: 18131
diff changeset
   508
    fun find (t as Free (x', _)) = if x = x' then raise Found t else I
c6899e23b5ff added find_free (from Isar/proof_context.ML);
wenzelm
parents: 18131
diff changeset
   509
      | find _ = I;
c6899e23b5ff added find_free (from Isar/proof_context.ML);
wenzelm
parents: 18131
diff changeset
   510
  in (fold_aterms find t (); NONE) handle Found v => SOME v end;
c6899e23b5ff added find_free (from Isar/proof_context.ML);
wenzelm
parents: 18131
diff changeset
   511
c6899e23b5ff added find_free (from Isar/proof_context.ML);
wenzelm
parents: 18131
diff changeset
   512
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   513
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   514
(** Comparing terms, types, sorts etc. **)
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   515
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   516
(* fast syntactic comparison *)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   517
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   518
fun fast_indexname_ord ((x, i), (y, j)) =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   519
  (case int_ord (i, j) of EQUAL => fast_string_ord (x, y) | ord => ord);
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   520
16599
34f99c3221bb tuned sort_ord: pointer_eq;
wenzelm
parents: 16589
diff changeset
   521
fun sort_ord SS =
34f99c3221bb tuned sort_ord: pointer_eq;
wenzelm
parents: 16589
diff changeset
   522
  if pointer_eq SS then EQUAL
16990
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   523
  else dict_ord fast_string_ord SS;
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   524
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   525
local
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   526
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   527
fun cons_nr (TVar _) = 0
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   528
  | cons_nr (TFree _) = 1
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   529
  | cons_nr (Type _) = 2;
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   530
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   531
in
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   532
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   533
fun typ_ord TU =
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   534
  if pointer_eq TU then EQUAL
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   535
  else
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   536
    (case TU of
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   537
      (Type (a, Ts), Type (b, Us)) =>
16990
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   538
        (case fast_string_ord (a, b) of EQUAL => dict_ord typ_ord (Ts, Us) | ord => ord)
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   539
    | (TFree (a, S), TFree (b, S')) =>
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   540
        (case fast_string_ord (a, b) of EQUAL => sort_ord (S, S') | ord => ord)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   541
    | (TVar (xi, S), TVar (yj, S')) =>
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   542
        (case fast_indexname_ord (xi, yj) of EQUAL => sort_ord (S, S') | ord => ord)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   543
    | (T, U) => int_ord (cons_nr T, cons_nr U));
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   544
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   545
end;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   546
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   547
local
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   548
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   549
fun cons_nr (Const _) = 0
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   550
  | cons_nr (Free _) = 1
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   551
  | cons_nr (Var _) = 2
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   552
  | cons_nr (Bound _) = 3
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   553
  | cons_nr (Abs _) = 4
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   554
  | cons_nr (_ $ _) = 5;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   555
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   556
fun struct_ord (Abs (_, _, t), Abs (_, _, u)) = struct_ord (t, u)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   557
  | struct_ord (t1 $ t2, u1 $ u2) =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   558
      (case struct_ord (t1, u1) of EQUAL => struct_ord (t2, u2) | ord => ord)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   559
  | struct_ord (t, u) = int_ord (cons_nr t, cons_nr u);
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   560
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   561
fun atoms_ord (Abs (_, _, t), Abs (_, _, u)) = atoms_ord (t, u)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   562
  | atoms_ord (t1 $ t2, u1 $ u2) =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   563
      (case atoms_ord (t1, u1) of EQUAL => atoms_ord (t2, u2) | ord => ord)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   564
  | atoms_ord (Const (a, _), Const (b, _)) = fast_string_ord (a, b)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   565
  | atoms_ord (Free (x, _), Free (y, _)) = fast_string_ord (x, y)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   566
  | atoms_ord (Var (xi, _), Var (yj, _)) = fast_indexname_ord (xi, yj)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   567
  | atoms_ord (Bound i, Bound j) = int_ord (i, j)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   568
  | atoms_ord _ = sys_error "atoms_ord";
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   569
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   570
fun types_ord (Abs (_, T, t), Abs (_, U, u)) =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   571
      (case typ_ord (T, U) of EQUAL => types_ord (t, u) | ord => ord)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   572
  | types_ord (t1 $ t2, u1 $ u2) =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   573
      (case types_ord (t1, u1) of EQUAL => types_ord (t2, u2) | ord => ord)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   574
  | types_ord (Const (_, T), Const (_, U)) = typ_ord (T, U)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   575
  | types_ord (Free (_, T), Free (_, U)) = typ_ord (T, U)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   576
  | types_ord (Var (_, T), Var (_, U)) = typ_ord (T, U)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   577
  | types_ord (Bound _, Bound _) = EQUAL
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   578
  | types_ord _ = sys_error "types_ord";
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   579
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   580
in
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   581
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   582
fun fast_term_ord tu =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   583
  if pointer_eq tu then EQUAL
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   584
  else
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   585
    (case struct_ord tu of
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   586
      EQUAL => (case atoms_ord tu of EQUAL => types_ord tu | ord => ord)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   587
    | ord => ord);
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   588
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   589
fun op aconv tu = (fast_term_ord tu = EQUAL);
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   590
fun aconvs ts_us = (list_ord fast_term_ord ts_us = EQUAL);
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   591
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   592
structure Vartab = TableFun(type key = indexname val ord = fast_indexname_ord);
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   593
structure Typtab = TableFun(type key = typ val ord = typ_ord);
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   594
structure Termtab = TableFun(type key = term val ord = fast_term_ord);
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   595
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   596
end;
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   597
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   598
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   599
(* term_ord *)
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   600
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   601
(*a linear well-founded AC-compatible ordering for terms:
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   602
  s < t <=> 1. size(s) < size(t) or
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   603
            2. size(s) = size(t) and s=f(...) and t=g(...) and f<g or
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   604
            3. size(s) = size(t) and s=f(s1..sn) and t=f(t1..tn) and
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   605
               (s1..sn) < (t1..tn) (lexicographically)*)
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   606
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   607
fun indexname_ord ((x, i), (y, j)) =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   608
  (case int_ord (i, j) of EQUAL => string_ord (x, y) | ord => ord);
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   609
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   610
local
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   611
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   612
fun hd_depth (t $ _, n) = hd_depth (t, n + 1)
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   613
  | hd_depth p = p;
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   614
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   615
fun dest_hd (Const (a, T)) = (((a, 0), T), 0)
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   616
  | dest_hd (Free (a, T)) = (((a, 0), T), 1)
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   617
  | dest_hd (Var v) = (v, 2)
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   618
  | dest_hd (Bound i) = ((("", i), dummyT), 3)
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   619
  | dest_hd (Abs (_, T, _)) = ((("", 0), T), 4);
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   620
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   621
in
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   622
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   623
fun term_ord tu =
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   624
  if pointer_eq tu then EQUAL
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   625
  else
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   626
    (case tu of
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   627
      (Abs (_, T, t), Abs(_, U, u)) =>
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   628
        (case term_ord (t, u) of EQUAL => typ_ord (T, U) | ord => ord)
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   629
    | (t, u) =>
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   630
        (case int_ord (size_of_term t, size_of_term u) of
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   631
          EQUAL =>
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   632
            (case prod_ord hd_ord int_ord (hd_depth (t, 0), hd_depth (u, 0)) of
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   633
              EQUAL => args_ord (t, u) | ord => ord)
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   634
        | ord => ord))
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   635
and hd_ord (f, g) =
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   636
  prod_ord (prod_ord indexname_ord typ_ord) int_ord (dest_hd f, dest_hd g)
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   637
and args_ord (f $ t, g $ u) =
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   638
      (case args_ord (f, g) of EQUAL => term_ord (t, u) | ord => ord)
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   639
  | args_ord _ = EQUAL;
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   640
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   641
fun termless tu = (term_ord tu = LESS);
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   642
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   643
end;
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   644
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   645
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   646
(** Lexicographic path order on terms **)
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   647
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   648
(*
16570
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   649
  See Baader & Nipkow, Term rewriting, CUP 1998.
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   650
  Without variables.  Const, Var, Bound, Free and Abs are treated all as
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   651
  constants.
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   652
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   653
  f_ord maps strings to integers and serves two purposes:
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   654
  - Predicate on constant symbols.  Those that are not recognised by f_ord
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   655
    must be mapped to ~1.
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   656
  - Order on the recognised symbols.  These must be mapped to distinct
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   657
    integers >= 0.
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   658
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   659
*)
16570
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   660
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   661
local
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   662
fun dest_hd f_ord (Const (a, T)) =
16570
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   663
      let val ord = f_ord a in
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   664
        if ord = ~1 then ((1, ((a, 0), T)), 0) else ((0, (("", ord), T)), 0)
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   665
      end
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   666
  | dest_hd _ (Free (a, T)) = ((1, ((a, 0), T)), 0)
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   667
  | dest_hd _ (Var v) = ((1, v), 1)
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   668
  | dest_hd _ (Bound i) = ((1, (("", i), dummyT)), 2)
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   669
  | dest_hd _ (Abs (_, T, _)) = ((1, (("", 0), T)), 3);
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   670
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   671
fun term_lpo f_ord (s, t) =
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   672
  let val (f, ss) = strip_comb s and (g, ts) = strip_comb t in
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   673
    if forall (fn si => term_lpo f_ord (si, t) = LESS) ss
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   674
    then case hd_ord f_ord (f, g) of
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   675
        GREATER =>
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   676
          if forall (fn ti => term_lpo f_ord (s, ti) = GREATER) ts
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   677
          then GREATER else LESS
16570
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   678
      | EQUAL =>
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   679
          if forall (fn ti => term_lpo f_ord (s, ti) = GREATER) ts
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   680
          then list_ord (term_lpo f_ord) (ss, ts)
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   681
          else LESS
16570
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   682
      | LESS => LESS
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   683
    else GREATER
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   684
  end
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   685
and hd_ord f_ord (f, g) = case (f, g) of
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   686
    (Abs (_, T, t), Abs (_, U, u)) =>
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   687
      (case term_lpo f_ord (t, u) of EQUAL => typ_ord (T, U) | ord => ord)
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   688
  | (_, _) => prod_ord (prod_ord int_ord
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   689
                  (prod_ord indexname_ord typ_ord)) int_ord
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   690
                (dest_hd f_ord f, dest_hd f_ord g)
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   691
in
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   692
val term_lpo = term_lpo
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   693
end;
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   694
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   695
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   696
(** Connectives of higher order logic **)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   697
375
d7ae7ac22d48 added logicC: class, logicS: sort;
wenzelm
parents: 61
diff changeset
   698
fun itselfT ty = Type ("itself", [ty]);
14854
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14829
diff changeset
   699
val a_itselfT = itselfT (TFree ("'a", []));
375
d7ae7ac22d48 added logicC: class, logicS: sort;
wenzelm
parents: 61
diff changeset
   700
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   701
val propT : typ = Type("prop",[]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   702
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   703
val implies = Const("==>", propT-->propT-->propT);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   704
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   705
fun all T = Const("all", (T-->propT)-->propT);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   706
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   707
fun equals T = Const("==", T-->T-->propT);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   708
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   709
(* maps  !!x1...xn. t   to   t  *)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   710
fun strip_all_body (Const("all",_)$Abs(_,_,t))  =  strip_all_body t
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   711
  | strip_all_body t  =  t;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   712
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   713
(* maps  !!x1...xn. t   to   [x1, ..., xn]  *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   714
fun strip_all_vars (Const("all",_)$Abs(a,T,t))  =
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   715
                (a,T) :: strip_all_vars t
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   716
  | strip_all_vars t  =  [] : (string*typ) list;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   717
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   718
(*increments a term's non-local bound variables
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   719
  required when moving a term within abstractions
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   720
     inc is  increment for bound variables
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   721
     lev is  level at which a bound variable is considered 'loose'*)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   722
fun incr_bv (inc, lev, u as Bound i) = if i>=lev then Bound(i+inc) else u
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   723
  | incr_bv (inc, lev, Abs(a,T,body)) =
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   724
        Abs(a, T, incr_bv(inc,lev+1,body))
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   725
  | incr_bv (inc, lev, f$t) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   726
      incr_bv(inc,lev,f) $ incr_bv(inc,lev,t)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   727
  | incr_bv (inc, lev, u) = u;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   728
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   729
fun incr_boundvars  0  t = t
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   730
  | incr_boundvars inc t = incr_bv(inc,0,t);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   731
12981
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   732
(*Scan a pair of terms; while they are similar,
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   733
  accumulate corresponding bound vars in "al"*)
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   734
fun match_bvs(Abs(x,_,s),Abs(y,_,t), al) =
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   735
      match_bvs(s, t, if x="" orelse y="" then al
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   736
                                          else (x,y)::al)
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   737
  | match_bvs(f$s, g$t, al) = match_bvs(f,g,match_bvs(s,t,al))
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   738
  | match_bvs(_,_,al) = al;
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   739
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   740
(* strip abstractions created by parameters *)
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   741
fun match_bvars((s,t),al) = match_bvs(strip_abs_body s, strip_abs_body t, al);
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   742
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   743
fun rename_abs pat obj t =
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   744
  let
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   745
    val ren = match_bvs (pat, obj, []);
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   746
    fun ren_abs (Abs (x, T, b)) =
18942
9228bbe9cd4e lambda: abstract over any const;
wenzelm
parents: 18927
diff changeset
   747
          Abs (the_default x (AList.lookup (op =) ren x), T, ren_abs b)
12981
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   748
      | ren_abs (f $ t) = ren_abs f $ ren_abs t
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   749
      | ren_abs t = t
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15472
diff changeset
   750
  in if null ren then NONE else SOME (ren_abs t) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   751
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   752
(*Accumulate all 'loose' bound vars referring to level 'lev' or beyond.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   753
   (Bound 0) is loose at level 0 *)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   754
fun add_loose_bnos (Bound i, lev, js) =
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   755
        if i<lev then js  else  (i-lev) ins_int js
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   756
  | add_loose_bnos (Abs (_,_,t), lev, js) = add_loose_bnos (t, lev+1, js)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   757
  | add_loose_bnos (f$t, lev, js) =
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   758
        add_loose_bnos (f, lev, add_loose_bnos (t, lev, js))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   759
  | add_loose_bnos (_, _, js) = js;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   760
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   761
fun loose_bnos t = add_loose_bnos (t, 0, []);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   762
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   763
(* loose_bvar(t,k) iff t contains a 'loose' bound variable referring to
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   764
   level k or beyond. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   765
fun loose_bvar(Bound i,k) = i >= k
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   766
  | loose_bvar(f$t, k) = loose_bvar(f,k) orelse loose_bvar(t,k)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   767
  | loose_bvar(Abs(_,_,t),k) = loose_bvar(t,k+1)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   768
  | loose_bvar _ = false;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   769
2792
6c17c5ec3d8b Avoid eta-contraction in the simplifier.
nipkow
parents: 2752
diff changeset
   770
fun loose_bvar1(Bound i,k) = i = k
6c17c5ec3d8b Avoid eta-contraction in the simplifier.
nipkow
parents: 2752
diff changeset
   771
  | loose_bvar1(f$t, k) = loose_bvar1(f,k) orelse loose_bvar1(t,k)
6c17c5ec3d8b Avoid eta-contraction in the simplifier.
nipkow
parents: 2752
diff changeset
   772
  | loose_bvar1(Abs(_,_,t),k) = loose_bvar1(t,k+1)
6c17c5ec3d8b Avoid eta-contraction in the simplifier.
nipkow
parents: 2752
diff changeset
   773
  | loose_bvar1 _ = false;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   774
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   775
(*Substitute arguments for loose bound variables.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   776
  Beta-reduction of arg(n-1)...arg0 into t replacing (Bound i) with (argi).
4626
51dd12f34c78 tuned comments;
wenzelm
parents: 4604
diff changeset
   777
  Note that for ((%x y. c) a b), the bound vars in c are x=1 and y=0
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   778
        and the appropriate call is  subst_bounds([b,a], c) .
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   779
  Loose bound variables >=n are reduced by "n" to
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   780
     compensate for the disappearance of lambdas.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   781
*)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   782
fun subst_bounds (args: term list, t) : term =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   783
  let val n = length args;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   784
      fun subst (t as Bound i, lev) =
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   785
           (if i<lev then  t    (*var is locally bound*)
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   786
            else  incr_boundvars lev (List.nth(args, i-lev))
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   787
                    handle Subscript => Bound(i-n)  (*loose: change it*))
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   788
        | subst (Abs(a,T,body), lev) = Abs(a, T,  subst(body,lev+1))
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   789
        | subst (f$t, lev) =  subst(f,lev)  $  subst(t,lev)
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   790
        | subst (t,lev) = t
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   791
  in   case args of [] => t  | _ => subst (t,0)  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   792
2192
3bf092b5310b Optimizations: removal of polymorphic equality; one-argument case
paulson
parents: 2182
diff changeset
   793
(*Special case: one argument*)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   794
fun subst_bound (arg, t) : term =
2192
3bf092b5310b Optimizations: removal of polymorphic equality; one-argument case
paulson
parents: 2182
diff changeset
   795
  let fun subst (t as Bound i, lev) =
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   796
            if i<lev then  t    (*var is locally bound*)
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   797
            else  if i=lev then incr_boundvars lev arg
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   798
                           else Bound(i-1)  (*loose: change it*)
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   799
        | subst (Abs(a,T,body), lev) = Abs(a, T,  subst(body,lev+1))
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   800
        | subst (f$t, lev) =  subst(f,lev)  $  subst(t,lev)
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   801
        | subst (t,lev) = t
2192
3bf092b5310b Optimizations: removal of polymorphic equality; one-argument case
paulson
parents: 2182
diff changeset
   802
  in  subst (t,0)  end;
3bf092b5310b Optimizations: removal of polymorphic equality; one-argument case
paulson
parents: 2182
diff changeset
   803
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   804
(*beta-reduce if possible, else form application*)
2192
3bf092b5310b Optimizations: removal of polymorphic equality; one-argument case
paulson
parents: 2182
diff changeset
   805
fun betapply (Abs(_,_,t), u) = subst_bound (u,t)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   806
  | betapply (f,u) = f$u;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   807
18183
a9f67248996a added betapplys;
wenzelm
parents: 18149
diff changeset
   808
val betapplys = Library.foldl betapply;
a9f67248996a added betapplys;
wenzelm
parents: 18149
diff changeset
   809
14786
24a7bc97a27a moved some sort ops to sorts.ML; added string_of_vname (from Syntax module);
wenzelm
parents: 14695
diff changeset
   810
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   811
(** Specialized equality, membership, insertion etc. **)
2192
3bf092b5310b Optimizations: removal of polymorphic equality; one-argument case
paulson
parents: 2182
diff changeset
   812
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   813
(* indexnames *)
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   814
16724
1c8317722b4c tuned eq_ix;
wenzelm
parents: 16710
diff changeset
   815
fun eq_ix ((x, i): indexname, (y, j)) = i = j andalso x = y;
2192
3bf092b5310b Optimizations: removal of polymorphic equality; one-argument case
paulson
parents: 2182
diff changeset
   816
2959
071bfb16586f tuned type of eq_ix, mem_ix;
wenzelm
parents: 2792
diff changeset
   817
fun mem_ix (_, []) = false
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   818
  | mem_ix (x, y :: ys) = eq_ix (x, y) orelse mem_ix (x, ys);
2192
3bf092b5310b Optimizations: removal of polymorphic equality; one-argument case
paulson
parents: 2182
diff changeset
   819
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   820
fun ins_ix (x, xs) = if mem_ix (x, xs) then xs else x :: xs;
2192
3bf092b5310b Optimizations: removal of polymorphic equality; one-argument case
paulson
parents: 2182
diff changeset
   821
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   822
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   823
(* variables *)
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   824
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   825
fun eq_tvar ((xi, S: sort), (xi', S')) = eq_ix (xi, xi') andalso S = S';
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   826
fun eq_var ((xi, T: typ), (xi', T')) = eq_ix (xi, xi') andalso T = T';
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   827
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   828
val tvar_ord = prod_ord indexname_ord sort_ord;
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   829
val var_ord = prod_ord indexname_ord typ_ord;
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   830
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   831
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   832
(* terms *)
2176
43e5c20a593c Changed some mem and ins calls to be monomorphic
paulson
parents: 2146
diff changeset
   833
43e5c20a593c Changed some mem and ins calls to be monomorphic
paulson
parents: 2146
diff changeset
   834
fun mem_term (_, []) = false
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   835
  | mem_term (t, t'::ts) = t aconv t' orelse mem_term (t, ts);
2176
43e5c20a593c Changed some mem and ins calls to be monomorphic
paulson
parents: 2146
diff changeset
   836
43e5c20a593c Changed some mem and ins calls to be monomorphic
paulson
parents: 2146
diff changeset
   837
fun ins_term(t,ts) = if mem_term(t,ts) then ts else t :: ts;
43e5c20a593c Changed some mem and ins calls to be monomorphic
paulson
parents: 2146
diff changeset
   838
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   839
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   840
(*A fast unification filter: true unless the two terms cannot be unified.
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   841
  Terms must be NORMAL.  Treats all Vars as distinct. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   842
fun could_unify (t,u) =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   843
  let fun matchrands (f$t, g$u) = could_unify(t,u) andalso  matchrands(f,g)
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   844
        | matchrands _ = true
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   845
  in case (head_of t , head_of u) of
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   846
        (_, Var _) => true
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   847
      | (Var _, _) => true
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   848
      | (Const(a,_), Const(b,_)) =>  a=b andalso matchrands(t,u)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   849
      | (Free(a,_), Free(b,_)) =>  a=b andalso matchrands(t,u)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   850
      | (Bound i, Bound j) =>  i=j andalso matchrands(t,u)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   851
      | (Abs _, _) =>  true   (*because of possible eta equality*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   852
      | (_, Abs _) =>  true
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   853
      | _ => false
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   854
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   855
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   856
(*Substitute new for free occurrences of old in a term*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   857
fun subst_free [] = (fn t=>t)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   858
  | subst_free pairs =
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   859
      let fun substf u =
17314
04e21a27c0ad introduces some modern-style AList operations
haftmann
parents: 17271
diff changeset
   860
            case AList.lookup (op aconv) pairs u of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15472
diff changeset
   861
                SOME u' => u'
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15472
diff changeset
   862
              | NONE => (case u of Abs(a,T,t) => Abs(a, T, substf t)
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   863
                                 | t$u' => substf t $ substf u'
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   864
                                 | _ => u)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   865
      in  substf  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   866
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   867
(*a total, irreflexive ordering on index names*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   868
fun xless ((a,i), (b,j): indexname) = i<j  orelse  (i=j andalso a<b);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   869
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   870
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   871
(*Abstraction of the term "body" over its occurrences of v,
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   872
    which must contain no loose bound variables.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   873
  The resulting term is ready to become the body of an Abs.*)
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   874
fun abstract_over (v, body) =
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   875
  let
16990
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   876
    exception SAME;
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   877
    fun abs lev tm =
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   878
      if v aconv tm then Bound lev
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   879
      else
16990
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   880
        (case tm of
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   881
          Abs (a, T, t) => Abs (a, T, abs (lev + 1) t)
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   882
        | t $ u => (abs lev t $ (abs lev u handle SAME => u) handle SAME => t $ abs lev u)
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   883
        | _ => raise SAME);
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   884
  in abs 0 body handle SAME => body end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   885
18975
78d650a7e99a lambda: base name of Const;
wenzelm
parents: 18942
diff changeset
   886
fun lambda (v as Const (x, T)) t = Abs (NameSpace.base x, T, abstract_over (v, t))
18942
9228bbe9cd4e lambda: abstract over any const;
wenzelm
parents: 18927
diff changeset
   887
  | lambda (v as Free (x, T)) t = Abs (x, T, abstract_over (v, t))
13665
66e151df01c8 - removed flexpair
berghofe
parents: 13646
diff changeset
   888
  | lambda (v as Var ((x, _), T)) t = Abs (x, T, abstract_over (v, t))
66e151df01c8 - removed flexpair
berghofe
parents: 13646
diff changeset
   889
  | lambda v t = raise TERM ("lambda", [v, t]);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   890
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   891
(*Form an abstraction over a free variable.*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   892
fun absfree (a,T,body) = Abs(a, T, abstract_over (Free(a,T), body));
17786
f06d6498ebf0 added absdummy;
wenzelm
parents: 17777
diff changeset
   893
fun absdummy (T, body) = Abs ("uu", T, body);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   894
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   895
(*Abstraction over a list of free variables*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   896
fun list_abs_free ([ ] ,     t) = t
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   897
  | list_abs_free ((a,T)::vars, t) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   898
      absfree(a, T, list_abs_free(vars,t));
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   899
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   900
(*Quantification over a list of free variables*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   901
fun list_all_free ([], t: term) = t
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   902
  | list_all_free ((a,T)::vars, t) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   903
        (all T) $ (absfree(a, T, list_all_free(vars,t)));
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   904
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   905
(*Quantification over a list of variables (already bound in body) *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   906
fun list_all ([], t) = t
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   907
  | list_all ((a,T)::vars, t) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   908
        (all T) $ (Abs(a, T, list_all(vars,t)));
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   909
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   910
(*Replace the ATOMIC term ti by ui;    inst = [(t1,u1), ..., (tn,un)].
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   911
  A simultaneous substitution:  [ (a,b), (b,a) ] swaps a and b.  *)
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   912
fun subst_atomic [] tm = tm
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   913
  | subst_atomic inst tm =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   914
      let
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   915
        fun subst (Abs (a, T, body)) = Abs (a, T, subst body)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   916
          | subst (t $ u) = subst t $ subst u
18942
9228bbe9cd4e lambda: abstract over any const;
wenzelm
parents: 18927
diff changeset
   917
          | subst t = the_default t (AList.lookup (op aconv) inst t);
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   918
      in subst tm end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   919
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   920
(*Replace the ATOMIC type Ti by Ui;    inst = [(T1,U1), ..., (Tn,Un)].*)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   921
fun typ_subst_atomic [] ty = ty
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   922
  | typ_subst_atomic inst ty =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   923
      let
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   924
        fun subst (Type (a, Ts)) = Type (a, map subst Ts)
18942
9228bbe9cd4e lambda: abstract over any const;
wenzelm
parents: 18927
diff changeset
   925
          | subst T = the_default T (AList.lookup (op = : typ * typ -> bool) inst T);
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   926
      in subst ty end;
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15632
diff changeset
   927
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   928
fun subst_atomic_types [] tm = tm
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   929
  | subst_atomic_types inst tm = map_term_types (typ_subst_atomic inst) tm;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   930
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   931
fun typ_subst_TVars [] ty = ty
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   932
  | typ_subst_TVars inst ty =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   933
      let
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   934
        fun subst (Type (a, Ts)) = Type (a, map subst Ts)
18942
9228bbe9cd4e lambda: abstract over any const;
wenzelm
parents: 18927
diff changeset
   935
          | subst (T as TVar (xi, _)) = the_default T (AList.lookup (op =) inst xi)
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   936
          | subst T = T;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   937
      in subst ty end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   938
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   939
fun subst_TVars [] tm = tm
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   940
  | subst_TVars inst tm = map_term_types (typ_subst_TVars inst) tm;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   941
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   942
(*see also Envir.norm_term*)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   943
fun subst_Vars [] tm = tm
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   944
  | subst_Vars inst tm =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   945
      let
18942
9228bbe9cd4e lambda: abstract over any const;
wenzelm
parents: 18927
diff changeset
   946
        fun subst (t as Var (xi, _)) = the_default t (AList.lookup (op =) inst xi)
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   947
          | subst (Abs (a, T, t)) = Abs (a, T, subst t)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   948
          | subst (t $ u) = subst t $ subst u
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   949
          | subst t = t;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   950
      in subst tm end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   951
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   952
(*see also Envir.norm_term*)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   953
fun subst_vars ([], []) tm = tm
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   954
  | subst_vars ([], inst) tm = subst_Vars inst tm
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   955
  | subst_vars (instT, inst) tm =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   956
      let
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   957
        fun subst (Const (a, T)) = Const (a, typ_subst_TVars instT T)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   958
          | subst (Free (a, T)) = Free (a, typ_subst_TVars instT T)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   959
          | subst (t as Var (xi, T)) =
17271
2756a73f63a5 introduced some new-style AList operations
haftmann
parents: 16990
diff changeset
   960
              (case AList.lookup (op =) inst xi of
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   961
                NONE => Var (xi, typ_subst_TVars instT T)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   962
              | SOME t => t)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   963
          | subst (t as Bound _) = t
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   964
          | subst (Abs (a, T, t)) = Abs (a, typ_subst_TVars instT T, subst t)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   965
          | subst (t $ u) = subst t $ subst u;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   966
      in subst tm end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   967
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   968
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   969
(* instantiation of schematic variables (types before terms) *)
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   970
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   971
local exception SAME in
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   972
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   973
fun instantiateT_same [] _ = raise SAME
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   974
  | instantiateT_same instT ty =
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   975
      let
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   976
        fun subst_typ (Type (a, Ts)) = Type (a, subst_typs Ts)
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   977
          | subst_typ (TVar v) =
17314
04e21a27c0ad introduces some modern-style AList operations
haftmann
parents: 17271
diff changeset
   978
              (case AList.lookup eq_tvar instT v of
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   979
                SOME T => T
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   980
              | NONE => raise SAME)
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   981
          | subst_typ _ = raise SAME
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   982
        and subst_typs (T :: Ts) =
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   983
            (subst_typ T :: (subst_typs Ts handle SAME => Ts)
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   984
              handle SAME => T :: subst_typs Ts)
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   985
          | subst_typs [] = raise SAME;
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   986
      in subst_typ ty end;
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   987
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   988
fun instantiate ([], []) tm = tm
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   989
  | instantiate (instT, inst) tm =
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   990
      let
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   991
        val substT = instantiateT_same instT;
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   992
        fun subst (Const (c, T)) = Const (c, substT T)
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   993
          | subst (Free (x, T)) = Free (x, substT T)
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   994
          | subst (Var (xi, T)) =
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   995
              let val (T', same) = (substT T, false) handle SAME => (T, true) in
17314
04e21a27c0ad introduces some modern-style AList operations
haftmann
parents: 17271
diff changeset
   996
                (case AList.lookup eq_var inst (xi, T') of
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   997
                   SOME t => t
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   998
                 | NONE => if same then raise SAME else Var (xi, T'))
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   999
              end
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
  1000
          | subst (Bound _) = raise SAME
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
  1001
          | subst (Abs (x, T, t)) =
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1002
              (Abs (x, substT T, subst t handle SAME => t)
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
  1003
                handle SAME => Abs (x, T, subst t))
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
  1004
          | subst (t $ u) = (subst t $ (subst u handle SAME => u) handle SAME => t $ subst u);
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
  1005
      in subst tm handle SAME => tm end;
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
  1006
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
  1007
fun instantiateT instT ty =
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1008
  instantiateT_same instT ty handle SAME => ty;
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
  1009
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
  1010
end;
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
  1011
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
  1012
15573
cf53c2dcf440 new first_order test
paulson
parents: 15570
diff changeset
  1013
(** Identifying first-order terms **)
cf53c2dcf440 new first_order test
paulson
parents: 15570
diff changeset
  1014
cf53c2dcf440 new first_order test
paulson
parents: 15570
diff changeset
  1015
(*Argument Ts is a reverse list of binder types, needed if term t contains Bound vars*)
cf53c2dcf440 new first_order test
paulson
parents: 15570
diff changeset
  1016
fun has_not_funtype Ts t = not (is_funtype (fastype_of1 (Ts,t)));
cf53c2dcf440 new first_order test
paulson
parents: 15570
diff changeset
  1017
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
  1018
(*First order means in all terms of the form f(t1,...,tn) no argument has a
16589
24c32abc8b84 first-order check now allows quantifiers
paulson
parents: 16570
diff changeset
  1019
  function type. The supplied quantifiers are excluded: their argument always
24c32abc8b84 first-order check now allows quantifiers
paulson
parents: 16570
diff changeset
  1020
  has a function type through a recursive call into its body.*)
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
  1021
fun is_first_order quants =
16589
24c32abc8b84 first-order check now allows quantifiers
paulson
parents: 16570
diff changeset
  1022
  let fun first_order1 Ts (Abs (_,T,body)) = first_order1 (T::Ts) body
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
  1023
        | first_order1 Ts (Const(q,_) $ Abs(a,T,body)) =
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
  1024
            q mem_string quants  andalso   (*it is a known quantifier*)
16589
24c32abc8b84 first-order check now allows quantifiers
paulson
parents: 16570
diff changeset
  1025
            not (is_funtype T)   andalso first_order1 (T::Ts) body
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
  1026
        | first_order1 Ts t =
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
  1027
            case strip_comb t of
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
  1028
                 (Var _, ts) => forall (first_order1 Ts andf has_not_funtype Ts) ts
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
  1029
               | (Free _, ts) => forall (first_order1 Ts andf has_not_funtype Ts) ts
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
  1030
               | (Const _, ts) => forall (first_order1 Ts andf has_not_funtype Ts) ts
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
  1031
               | (Bound _, ts) => forall (first_order1 Ts andf has_not_funtype Ts) ts
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
  1032
               | (Abs _, ts) => false (*not in beta-normal form*)
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
  1033
               | _ => error "first_order: unexpected case"
16589
24c32abc8b84 first-order check now allows quantifiers
paulson
parents: 16570
diff changeset
  1034
    in  first_order1 []  end;
15573
cf53c2dcf440 new first_order test
paulson
parents: 15570
diff changeset
  1035
16710
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
  1036
16990
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1037
(* maximum index of typs and terms *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1038
16710
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
  1039
fun maxidx_typ (TVar ((_, j), _)) i = Int.max (i, j)
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
  1040
  | maxidx_typ (Type (_, Ts)) i = maxidx_typs Ts i
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
  1041
  | maxidx_typ (TFree _) i = i
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
  1042
and maxidx_typs [] i = i
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
  1043
  | maxidx_typs (T :: Ts) i = maxidx_typs Ts (maxidx_typ T i);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1044
16710
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
  1045
fun maxidx_term (Var ((_, j), T)) i = maxidx_typ T (Int.max (i, j))
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
  1046
  | maxidx_term (Const (_, T)) i = maxidx_typ T i
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
  1047
  | maxidx_term (Free (_, T)) i = maxidx_typ T i
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
  1048
  | maxidx_term (Bound _) i = i
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
  1049
  | maxidx_term (Abs (_, T, t)) i = maxidx_term t (maxidx_typ T i)
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
  1050
  | maxidx_term (t $ u) i = maxidx_term u (maxidx_term t i);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1051
16710
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
  1052
fun maxidx_of_typ T = maxidx_typ T ~1;
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
  1053
fun maxidx_of_typs Ts = maxidx_typs Ts ~1;
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
  1054
fun maxidx_of_term t = maxidx_term t ~1;
13665
66e151df01c8 - removed flexpair
berghofe
parents: 13646
diff changeset
  1055
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1056
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1057
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1058
(**** Syntax-related declarations ****)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1059
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1060
(*** Printing ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1061
19014
f70ced571ba8 added variant_name;
wenzelm
parents: 18995
diff changeset
  1062
(*Makes a variant of a name distinct from already used names.  First
f70ced571ba8 added variant_name;
wenzelm
parents: 18995
diff changeset
  1063
  attaches the suffix and then increments this; preserves a suffix of
f70ced571ba8 added variant_name;
wenzelm
parents: 18995
diff changeset
  1064
  underscores "_". *)
f70ced571ba8 added variant_name;
wenzelm
parents: 18995
diff changeset
  1065
fun variant_name used name =
12306
749a04f0cfb0 variant: preserve suffix of underscores (for skolem/internal names etc.);
wenzelm
parents: 11922
diff changeset
  1066
  let
19014
f70ced571ba8 added variant_name;
wenzelm
parents: 18995
diff changeset
  1067
    val (c, u) = pairself implode (Library.take_suffix (fn s => s = "_") (Symbol.explode name));
f70ced571ba8 added variant_name;
wenzelm
parents: 18995
diff changeset
  1068
    fun vary2 c = if used (c ^ u) then vary2 (Symbol.bump_string c) else c;
f70ced571ba8 added variant_name;
wenzelm
parents: 18995
diff changeset
  1069
    fun vary1 c = if used (c ^ u) then vary2 (Symbol.bump_init c) else c;
12306
749a04f0cfb0 variant: preserve suffix of underscores (for skolem/internal names etc.);
wenzelm
parents: 11922
diff changeset
  1070
  in vary1 (if c = "" then "u" else c) ^ u end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1071
19014
f70ced571ba8 added variant_name;
wenzelm
parents: 18995
diff changeset
  1072
fun variant used_names = variant_name (member (op =) used_names);
f70ced571ba8 added variant_name;
wenzelm
parents: 18995
diff changeset
  1073
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1074
(*Create variants of the list of names, with priority to the first ones*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1075
fun variantlist ([], used) = []
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
  1076
  | variantlist(b::bs, used) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1077
      let val b' = variant used b
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1078
      in  b' :: variantlist (bs, b'::used)  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1079
14695
9c78044b99c3 improved Term.invent_names;
wenzelm
parents: 14676
diff changeset
  1080
(*Invent fresh names*)
9c78044b99c3 improved Term.invent_names;
wenzelm
parents: 14676
diff changeset
  1081
fun invent_names _ _ 0 = []
9c78044b99c3 improved Term.invent_names;
wenzelm
parents: 14676
diff changeset
  1082
  | invent_names used a n =
9c78044b99c3 improved Term.invent_names;
wenzelm
parents: 14676
diff changeset
  1083
      let val b = Symbol.bump_string a in
9c78044b99c3 improved Term.invent_names;
wenzelm
parents: 14676
diff changeset
  1084
        if a mem_string used then invent_names used b n
9c78044b99c3 improved Term.invent_names;
wenzelm
parents: 14676
diff changeset
  1085
        else a :: invent_names used b (n - 1)
9c78044b99c3 improved Term.invent_names;
wenzelm
parents: 14676
diff changeset
  1086
      end;
11353
7f6eff7bc97a invent_names
wenzelm
parents: 10806
diff changeset
  1087
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
  1088
4017
63878e2587a7 add_typ_classes, add_typ_tycons, add_term_classes, add_term_tycons,
wenzelm
parents: 3965
diff changeset
  1089
(** Consts etc. **)
63878e2587a7 add_typ_classes, add_typ_tycons, add_term_classes, add_term_tycons,
wenzelm
parents: 3965
diff changeset
  1090
18995
ff4e4773cc7c removed obsolete add_typ/term_classes/tycons;
wenzelm
parents: 18981
diff changeset
  1091
fun add_term_consts (Const (c, _), cs) = insert (op =) c cs
4017
63878e2587a7 add_typ_classes, add_typ_tycons, add_term_classes, add_term_tycons,
wenzelm
parents: 3965
diff changeset
  1092
  | add_term_consts (t $ u, cs) = add_term_consts (t, add_term_consts (u, cs))
63878e2587a7 add_typ_classes, add_typ_tycons, add_term_classes, add_term_tycons,
wenzelm
parents: 3965
diff changeset
  1093
  | add_term_consts (Abs (_, _, t), cs) = add_term_consts (t, cs)
63878e2587a7 add_typ_classes, add_typ_tycons, add_term_classes, add_term_tycons,
wenzelm
parents: 3965
diff changeset
  1094
  | add_term_consts (_, cs) = cs;
63878e2587a7 add_typ_classes, add_typ_tycons, add_term_classes, add_term_tycons,
wenzelm
parents: 3965
diff changeset
  1095
13646
46ed3d042ba5 Ported find_intro/elim to Isar.
nipkow
parents: 13484
diff changeset
  1096
fun term_consts t = add_term_consts(t,[]);
46ed3d042ba5 Ported find_intro/elim to Isar.
nipkow
parents: 13484
diff changeset
  1097
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1098
fun exists_subterm P =
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1099
  let
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1100
    fun ex tm = P tm orelse
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1101
      (case tm of
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1102
        t $ u => ex t orelse ex u
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1103
      | Abs (_, _, t) => ex t
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1104
      | _ => false);
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1105
  in ex end;
16108
cf468b93a02e Implement cycle-free overloading, so that definitions cannot harm consistency any more (except of course via interaction with axioms).
obua
parents: 16035
diff changeset
  1106
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1107
fun exists_Const P = exists_subterm (fn Const c => P c | _ => false);
4631
c7fa4ae34495 Improved loop-test for rewrite rules a little.
nipkow
parents: 4626
diff changeset
  1108
4017
63878e2587a7 add_typ_classes, add_typ_tycons, add_term_classes, add_term_tycons,
wenzelm
parents: 3965
diff changeset
  1109
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1110
(** TFrees and TVars **)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1111
12802
c69bd9754473 added add_term_free_names (more precise/efficient than add_term_names);
wenzelm
parents: 12499
diff changeset
  1112
(*Accumulates the names of Frees in the term, suppressing duplicates.*)
c69bd9754473 added add_term_free_names (more precise/efficient than add_term_names);
wenzelm
parents: 12499
diff changeset
  1113
fun add_term_free_names (Free(a,_), bs) = a ins_string bs
c69bd9754473 added add_term_free_names (more precise/efficient than add_term_names);
wenzelm
parents: 12499
diff changeset
  1114
  | add_term_free_names (f$u, bs) = add_term_free_names (f, add_term_free_names(u, bs))
c69bd9754473 added add_term_free_names (more precise/efficient than add_term_names);
wenzelm
parents: 12499
diff changeset
  1115
  | add_term_free_names (Abs(_,_,t), bs) = add_term_free_names(t,bs)
c69bd9754473 added add_term_free_names (more precise/efficient than add_term_names);
wenzelm
parents: 12499
diff changeset
  1116
  | add_term_free_names (_, bs) = bs;
c69bd9754473 added add_term_free_names (more precise/efficient than add_term_names);
wenzelm
parents: 12499
diff changeset
  1117
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1118
(*Accumulates the names in the term, suppressing duplicates.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1119
  Includes Frees and Consts.  For choosing unambiguous bound var names.*)
10666
d2a7c5be62be fixed add_term_names: NameSpace.base;
wenzelm
parents: 10552
diff changeset
  1120
fun add_term_names (Const(a,_), bs) = NameSpace.base a ins_string bs
2176
43e5c20a593c Changed some mem and ins calls to be monomorphic
paulson
parents: 2146
diff changeset
  1121
  | add_term_names (Free(a,_), bs) = a ins_string bs
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1122
  | add_term_names (f$u, bs) = add_term_names (f, add_term_names(u, bs))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1123
  | add_term_names (Abs(_,_,t), bs) = add_term_names(t,bs)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1124
  | add_term_names (_, bs) = bs;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1125
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1126
(*Accumulates the TVars in a type, suppressing duplicates. *)
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15573
diff changeset
  1127
fun add_typ_tvars(Type(_,Ts),vs) = foldr add_typ_tvars vs Ts
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1128
  | add_typ_tvars(TFree(_),vs) = vs
16294
97c9f2c1de3d avoid polymorphic ins;
wenzelm
parents: 16108
diff changeset
  1129
  | add_typ_tvars(TVar(v),vs) = insert (op =) v vs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1130
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1131
(*Accumulates the TFrees in a type, suppressing duplicates. *)
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15573
diff changeset
  1132
fun add_typ_tfree_names(Type(_,Ts),fs) = foldr add_typ_tfree_names fs Ts
2176
43e5c20a593c Changed some mem and ins calls to be monomorphic
paulson
parents: 2146
diff changeset
  1133
  | add_typ_tfree_names(TFree(f,_),fs) = f ins_string fs
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1134
  | add_typ_tfree_names(TVar(_),fs) = fs;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1135
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15573
diff changeset
  1136
fun add_typ_tfrees(Type(_,Ts),fs) = foldr add_typ_tfrees fs Ts
16294
97c9f2c1de3d avoid polymorphic ins;
wenzelm
parents: 16108
diff changeset
  1137
  | add_typ_tfrees(TFree(f),fs) = insert (op =) f fs
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1138
  | add_typ_tfrees(TVar(_),fs) = fs;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1139
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15573
diff changeset
  1140
fun add_typ_varnames(Type(_,Ts),nms) = foldr add_typ_varnames nms Ts
2176
43e5c20a593c Changed some mem and ins calls to be monomorphic
paulson
parents: 2146
diff changeset
  1141
  | add_typ_varnames(TFree(nm,_),nms) = nm ins_string nms
43e5c20a593c Changed some mem and ins calls to be monomorphic
paulson
parents: 2146
diff changeset
  1142
  | add_typ_varnames(TVar((nm,_),_),nms) = nm ins_string nms;
949
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1143
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1144
(*Accumulates the TVars in a term, suppressing duplicates. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1145
val add_term_tvars = it_term_types add_typ_tvars;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1146
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1147
(*Accumulates the TFrees in a term, suppressing duplicates. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1148
val add_term_tfrees = it_term_types add_typ_tfrees;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1149
val add_term_tfree_names = it_term_types add_typ_tfree_names;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1150
949
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1151
val add_term_tvarnames = it_term_types add_typ_varnames;
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1152
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1153
(*Non-list versions*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1154
fun typ_tfrees T = add_typ_tfrees(T,[]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1155
fun typ_tvars T = add_typ_tvars(T,[]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1156
fun term_tfrees t = add_term_tfrees(t,[]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1157
fun term_tvars t = add_term_tvars(t,[]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1158
949
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1159
(*special code to enforce left-to-right collection of TVar-indexnames*)
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1160
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
  1161
fun add_typ_ixns(ixns,Type(_,Ts)) = Library.foldl add_typ_ixns (ixns,Ts)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
  1162
  | add_typ_ixns(ixns,TVar(ixn,_)) = if mem_ix (ixn, ixns) then ixns
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1163
                                     else ixns@[ixn]
949
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1164
  | add_typ_ixns(ixns,TFree(_)) = ixns;
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1165
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1166
fun add_term_tvar_ixns(Const(_,T),ixns) = add_typ_ixns(ixns,T)
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1167
  | add_term_tvar_ixns(Free(_,T),ixns) = add_typ_ixns(ixns,T)
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1168
  | add_term_tvar_ixns(Var(_,T),ixns) = add_typ_ixns(ixns,T)
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1169
  | add_term_tvar_ixns(Bound _,ixns) = ixns
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1170
  | add_term_tvar_ixns(Abs(_,T,t),ixns) =
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1171
      add_term_tvar_ixns(t,add_typ_ixns(ixns,T))
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1172
  | add_term_tvar_ixns(f$t,ixns) =
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1173
      add_term_tvar_ixns(t,add_term_tvar_ixns(f,ixns));
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1174
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
  1175
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1176
(** Frees and Vars **)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1177
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1178
(*Accumulates the Vars in the term, suppressing duplicates*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1179
fun add_term_vars (t, vars: term list) = case t of
16990
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1180
    Var   _ => OrdList.insert term_ord t vars
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1181
  | Abs (_,_,body) => add_term_vars(body,vars)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1182
  | f$t =>  add_term_vars (f, add_term_vars(t, vars))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1183
  | _ => vars;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1184
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1185
fun term_vars t = add_term_vars(t,[]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1186
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1187
(*Accumulates the Frees in the term, suppressing duplicates*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1188
fun add_term_frees (t, frees: term list) = case t of
16990
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1189
    Free   _ => OrdList.insert term_ord t frees
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1190
  | Abs (_,_,body) => add_term_frees(body,frees)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1191
  | f$t =>  add_term_frees (f, add_term_frees(t, frees))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1192
  | _ => frees;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1193
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1194
fun term_frees t = add_term_frees(t,[]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1195
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1196
(*Given an abstraction over P, replaces the bound variable by a Free variable
17851
2fa4f9b54761 tuned comments;
wenzelm
parents: 17786
diff changeset
  1197
  having a unique name -- SLOW!*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1198
fun variant_abs (a,T,P) =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1199
  let val b = variant (add_term_names(P,[])) a
2192
3bf092b5310b Optimizations: removal of polymorphic equality; one-argument case
paulson
parents: 2182
diff changeset
  1200
  in  (b,  subst_bound (Free(b,T), P))  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1201
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1202
fun dest_abs (x, T, body) =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1203
  let
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1204
    fun name_clash (Free (y, _)) = (x = y)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1205
      | name_clash (t $ u) = name_clash t orelse name_clash u
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1206
      | name_clash (Abs (_, _, t)) = name_clash t
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1207
      | name_clash _ = false;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1208
  in
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1209
    if name_clash body then
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1210
      dest_abs (variant [x] x, T, body)    (*potentially slow, but rarely happens*)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1211
    else (x, subst_bound (Free (x, T), body))
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1212
  end;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1213
16990
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1214
(*names for numbered variables --
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1215
  preserves order wrt. int_ord vs. string_ord, avoids allocating new strings*)
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1216
local
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1217
  val small_int = Vector.tabulate (1000, fn i =>
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1218
    let val leading = if i < 10 then "00" else if i < 100 then "0" else ""
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1219
    in ":" ^ leading ^ string_of_int i end);
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1220
in
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1221
  fun bound n =
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1222
    if n < 1000 then Vector.sub (small_int, n)
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1223
    else ":" ^ bound (n div 1000) ^ Vector.sub (small_int, n mod 1000);
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1224
end;
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1225
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1226
val is_bound = String.isPrefix ":";
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1227
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1228
(* renames and reverses the strings in vars away from names *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1229
fun rename_aTs names vars : (string*typ)list =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1230
  let fun rename_aT (vars,(a,T)) =
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1231
                (variant (map #1 vars @ names) a, T) :: vars
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
  1232
  in Library.foldl rename_aT ([],vars) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1233
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1234
fun rename_wrt_term t = rename_aTs (add_term_names(t,[]));
1364
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1029
diff changeset
  1235
1417
c0f6a1887518 Addition of compression, that is, sharing.
paulson
parents: 1391
diff changeset
  1236
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1237
(* zero var indexes *)
4286
a09e3e6da2de added foldl_atyps: ('a * typ -> 'a) -> 'a * typ -> 'a;
wenzelm
parents: 4188
diff changeset
  1238
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1239
fun zero_var_inst vars =
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1240
  fold (fn v as ((x, i), X) => fn (used, inst) =>
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1241
    let
17642
e063c0403650 zero_var_inst: replace loose bounds :000 etc.;
wenzelm
parents: 17314
diff changeset
  1242
      val x' = variant used (if is_bound x then "u" else x);
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1243
      val used' = x' :: used;
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1244
    in if x = x' andalso i = 0 then (used', inst) else (used', (v, ((x', 0), X)) :: inst) end)
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1245
  vars ([], []) |> #2;
4286
a09e3e6da2de added foldl_atyps: ('a * typ -> 'a) -> 'a * typ -> 'a;
wenzelm
parents: 4188
diff changeset
  1246
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1247
fun zero_var_indexesT ty =
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1248
  instantiateT (map (apsnd TVar) (zero_var_inst (sort tvar_ord (add_tvarsT ty [])))) ty;
16790
be2780f435e1 (fix for an accidental commit)
haftmann
parents: 16787
diff changeset
  1249
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1250
fun zero_var_indexes_inst tm =
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1251
  let
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1252
    val instT = map (apsnd TVar) (zero_var_inst (sort tvar_ord (fold_types add_tvarsT tm [])));
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1253
    val inst =
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1254
      add_vars tm [] |> map (apsnd (instantiateT instT))
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1255
      |> sort var_ord |> zero_var_inst |> map (apsnd Var);
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1256
  in (instT, inst) end;
12499
1b56e1732a61 added invent_type_names;
wenzelm
parents: 12306
diff changeset
  1257
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1258
fun zero_var_indexes tm = instantiate (zero_var_indexes_inst tm) tm;
4286
a09e3e6da2de added foldl_atyps: ('a * typ -> 'a) -> 'a * typ -> 'a;
wenzelm
parents: 4188
diff changeset
  1259
1417
c0f6a1887518 Addition of compression, that is, sharing.
paulson
parents: 1391
diff changeset
  1260
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1261
(* dummy patterns *)
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1262
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1263
val dummy_patternN = "dummy_pattern";
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1264
18253
0626a0a217ec added dummy_pattern;
wenzelm
parents: 18183
diff changeset
  1265
fun dummy_pattern T = Const (dummy_patternN, T);
0626a0a217ec added dummy_pattern;
wenzelm
parents: 18183
diff changeset
  1266
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1267
fun is_dummy_pattern (Const ("dummy_pattern", _)) = true
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1268
  | is_dummy_pattern _ = false;
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1269
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1270
fun no_dummy_patterns tm =
16787
b6b6e2faaa41 (intermediate commit)
haftmann
parents: 16724
diff changeset
  1271
  if not (fold_aterms (fn t => fn b => b orelse is_dummy_pattern t) tm false) then tm
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1272
  else raise TERM ("Illegal occurrence of '_' dummy pattern", [tm]);
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1273
11903
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1274
fun replace_dummy Ts (i, Const ("dummy_pattern", T)) =
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1275
      (i + 1, list_comb (Var (("_dummy_", i), Ts ---> T), map Bound (0 upto length Ts - 1)))
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1276
  | replace_dummy Ts (i, Abs (x, T, t)) =
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1277
      let val (i', t') = replace_dummy (T :: Ts) (i, t)
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1278
      in (i', Abs (x, T, t')) end
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1279
  | replace_dummy Ts (i, t $ u) =
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1280
      let val (i', t') = replace_dummy Ts (i, t); val (i'', u') = replace_dummy Ts (i', u)
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1281
      in (i'', t' $ u') end
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1282
  | replace_dummy _ (i, a) = (i, a);
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1283
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1284
val replace_dummy_patterns = replace_dummy [];
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1285
10552
a177b8571026 added is_replaced_dummy_pattern;
wenzelm
parents: 9721
diff changeset
  1286
fun is_replaced_dummy_pattern ("_dummy_", _) = true
a177b8571026 added is_replaced_dummy_pattern;
wenzelm
parents: 9721
diff changeset
  1287
  | is_replaced_dummy_pattern _ = false;
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1288
16035
31bd65f7b22a added show_dummy_patterns;
wenzelm
parents: 15986
diff changeset
  1289
fun show_dummy_patterns (Var (("_dummy_", _), T)) = Const ("dummy_pattern", T)
31bd65f7b22a added show_dummy_patterns;
wenzelm
parents: 15986
diff changeset
  1290
  | show_dummy_patterns (t $ u) = show_dummy_patterns t $ show_dummy_patterns u
31bd65f7b22a added show_dummy_patterns;
wenzelm
parents: 15986
diff changeset
  1291
  | show_dummy_patterns (Abs (x, T, t)) = Abs (x, T, show_dummy_patterns t)
31bd65f7b22a added show_dummy_patterns;
wenzelm
parents: 15986
diff changeset
  1292
  | show_dummy_patterns a = a;
31bd65f7b22a added show_dummy_patterns;
wenzelm
parents: 15986
diff changeset
  1293
13484
d8f5d3391766 adhoc_freeze_vars;
wenzelm
parents: 13000
diff changeset
  1294
d8f5d3391766 adhoc_freeze_vars;
wenzelm
parents: 13000
diff changeset
  1295
(* adhoc freezing *)
d8f5d3391766 adhoc_freeze_vars;
wenzelm
parents: 13000
diff changeset
  1296
d8f5d3391766 adhoc_freeze_vars;
wenzelm
parents: 13000
diff changeset
  1297
fun adhoc_freeze_vars tm =
d8f5d3391766 adhoc_freeze_vars;
wenzelm
parents: 13000
diff changeset
  1298
  let
d8f5d3391766 adhoc_freeze_vars;
wenzelm
parents: 13000
diff changeset
  1299
    fun mk_inst (var as Var ((a, i), T)) =
d8f5d3391766 adhoc_freeze_vars;
wenzelm
parents: 13000
diff changeset
  1300
      let val x = a ^ Library.gensym "_" ^ string_of_int i
d8f5d3391766 adhoc_freeze_vars;
wenzelm
parents: 13000
diff changeset
  1301
      in ((var,  Free(x, T)), x) end;
d8f5d3391766 adhoc_freeze_vars;
wenzelm
parents: 13000
diff changeset
  1302
    val (insts, xs) = split_list (map mk_inst (term_vars tm));
d8f5d3391766 adhoc_freeze_vars;
wenzelm
parents: 13000
diff changeset
  1303
  in (subst_atomic insts tm, xs) end;
d8f5d3391766 adhoc_freeze_vars;
wenzelm
parents: 13000
diff changeset
  1304
d8f5d3391766 adhoc_freeze_vars;
wenzelm
parents: 13000
diff changeset
  1305
14786
24a7bc97a27a moved some sort ops to sorts.ML; added string_of_vname (from Syntax module);
wenzelm
parents: 14695
diff changeset
  1306
(* string_of_vname *)
24a7bc97a27a moved some sort ops to sorts.ML; added string_of_vname (from Syntax module);
wenzelm
parents: 14695
diff changeset
  1307
15986
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1308
val show_question_marks = ref true;
15472
4674102737e9 Added show_var_qmarks flag.
berghofe
parents: 15025
diff changeset
  1309
14786
24a7bc97a27a moved some sort ops to sorts.ML; added string_of_vname (from Syntax module);
wenzelm
parents: 14695
diff changeset
  1310
fun string_of_vname (x, i) =
24a7bc97a27a moved some sort ops to sorts.ML; added string_of_vname (from Syntax module);
wenzelm
parents: 14695
diff changeset
  1311
  let
15986
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1312
    val question_mark = if ! show_question_marks then "?" else "";
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1313
    val idx = string_of_int i;
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1314
    val dot =
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1315
      (case rev (Symbol.explode x) of
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1316
        _ :: "\\<^isub>" :: _ => false
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1317
      | _ :: "\\<^isup>" :: _ => false
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1318
      | c :: _ => Symbol.is_digit c
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1319
      | _ => true);
14786
24a7bc97a27a moved some sort ops to sorts.ML; added string_of_vname (from Syntax module);
wenzelm
parents: 14695
diff changeset
  1320
  in
15986
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1321
    if dot then question_mark ^ x ^ "." ^ idx
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1322
    else if i <> 0 then question_mark ^ x ^ idx
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1323
    else question_mark ^ x
14786
24a7bc97a27a moved some sort ops to sorts.ML; added string_of_vname (from Syntax module);
wenzelm
parents: 14695
diff changeset
  1324
  end;
24a7bc97a27a moved some sort ops to sorts.ML; added string_of_vname (from Syntax module);
wenzelm
parents: 14695
diff changeset
  1325
24a7bc97a27a moved some sort ops to sorts.ML; added string_of_vname (from Syntax module);
wenzelm
parents: 14695
diff changeset
  1326
fun string_of_vname' (x, ~1) = x
24a7bc97a27a moved some sort ops to sorts.ML; added string_of_vname (from Syntax module);
wenzelm
parents: 14695
diff changeset
  1327
  | string_of_vname' xi = string_of_vname xi;
24a7bc97a27a moved some sort ops to sorts.ML; added string_of_vname (from Syntax module);
wenzelm
parents: 14695
diff changeset
  1328
17777
05f5532a8289 added str_of_term (from HOL/Tools/ATP/recon_translate_proof.ML);
wenzelm
parents: 17756
diff changeset
  1329
05f5532a8289 added str_of_term (from HOL/Tools/ATP/recon_translate_proof.ML);
wenzelm
parents: 17756
diff changeset
  1330
(* str_of_term *)
05f5532a8289 added str_of_term (from HOL/Tools/ATP/recon_translate_proof.ML);
wenzelm
parents: 17756
diff changeset
  1331
05f5532a8289 added str_of_term (from HOL/Tools/ATP/recon_translate_proof.ML);
wenzelm
parents: 17756
diff changeset
  1332
fun str_of_term (Const (c, _)) = c
05f5532a8289 added str_of_term (from HOL/Tools/ATP/recon_translate_proof.ML);
wenzelm
parents: 17756
diff changeset
  1333
  | str_of_term (Free (x, _)) = x
05f5532a8289 added str_of_term (from HOL/Tools/ATP/recon_translate_proof.ML);
wenzelm
parents: 17756
diff changeset
  1334
  | str_of_term (Var (xi, _)) = string_of_vname xi
05f5532a8289 added str_of_term (from HOL/Tools/ATP/recon_translate_proof.ML);
wenzelm
parents: 17756
diff changeset
  1335
  | str_of_term (Bound i) = string_of_int i
05f5532a8289 added str_of_term (from HOL/Tools/ATP/recon_translate_proof.ML);
wenzelm
parents: 17756
diff changeset
  1336
  | str_of_term (Abs (x, _, t)) = "%" ^ x ^ ". " ^ str_of_term t
05f5532a8289 added str_of_term (from HOL/Tools/ATP/recon_translate_proof.ML);
wenzelm
parents: 17756
diff changeset
  1337
  | str_of_term (t $ u) = "(" ^ str_of_term t ^ " " ^ str_of_term u ^ ")";
05f5532a8289 added str_of_term (from HOL/Tools/ATP/recon_translate_proof.ML);
wenzelm
parents: 17756
diff changeset
  1338
1364
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1029
diff changeset
  1339
end;
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1029
diff changeset
  1340
4444
fa05a79b3e97 term order;
wenzelm
parents: 4286
diff changeset
  1341
structure BasicTerm: BASIC_TERM = Term;
fa05a79b3e97 term order;
wenzelm
parents: 4286
diff changeset
  1342
open BasicTerm;