src/Pure/term.ML
author wenzelm
Tue, 12 Sep 2006 12:12:55 +0200
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parent 20331 ccdd1592f5ff
child 20531 7de9caf4fd78
permissions -rw-r--r--
removed obsolete aconvs (use eq_list aconv); tuned aconv --- more efficient on identical subterms; moved term subst functions to term_subst.ML;
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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 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 aconv: term * term -> 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 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 could_unify: term * term -> bool
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  val subst_free: (term * term) list -> term -> term
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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 add_term_consts: term * string list -> string list
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  val term_consts: term -> string list
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  val exists_subtype: (typ -> bool) -> typ -> bool
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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 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 rename_wrt_term: term -> (string * 'a) list -> (string * 'a) 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 aT: sort -> typ
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  val itselfT: typ -> typ
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  val a_itselfT: typ
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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 add_varnames: term -> indexname list -> indexname list
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  val strip_abs_eta: int -> term -> (string * typ) list * term
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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: (term -> 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 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 dest_abs: string * typ * term -> string * term
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  val declare_term_names: term -> Name.context -> Name.context
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  val variant_frees: term -> (string * 'a) list -> (string * 'a) 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 string_of_vname: indexname -> string
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  val string_of_vname': indexname -> 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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(** 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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fun dest_Var (Var x) =  x
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  | dest_Var t = raise TERM("dest_Var", [t]);
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fun domain_type (Type("fun", [T,_])) = T
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and range_type  (Type("fun", [_,T])) = T;
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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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(* maps  [T1,...,Tn]--->T  to T*)
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fun body_type (Type("fun",[S,T])) = body_type T
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  | body_type T   =  T;
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(* 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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(*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]))
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  | type_of1 (Ts, Var (_,T)) = T
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  | type_of1 (Ts, Abs (_,T,body)) = T --> type_of1(T::Ts, body)
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wenzelm
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   323
  | type_of1 (Ts, f$u) =
0
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      let val U = type_of1(Ts,u)
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   325
          and T = type_of1(Ts,f)
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      in case T of
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            Type("fun",[T1,T2]) =>
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              if T1=U then T2  else raise TYPE
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                    ("type_of: type mismatch in application", [T1,U], [f$u])
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          | _ => raise TYPE
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                    ("type_of: function type is expected in application",
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                     [T,U], [f$u])
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   333
      end;
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   334
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fun type_of t : typ = type_of1 ([],t);
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   336
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(*Determines the type of a term, with minimal checking*)
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parents: 12981
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   338
fun fastype_of1 (Ts, f$u) =
61
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lcp
parents: 40
diff changeset
   339
    (case fastype_of1 (Ts,f) of
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        Type("fun",[_,T]) => T
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parents: 9319
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        | _ => raise TERM("fastype_of: expected function type", [f$u]))
61
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lcp
parents: 40
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  | fastype_of1 (_, Const (_,T)) = T
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lcp
parents: 40
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   343
  | fastype_of1 (_, Free (_,T)) = T
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skalberg
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  | fastype_of1 (Ts, Bound i) = (List.nth(Ts,i)
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skalberg
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         handle Subscript => raise TERM("fastype_of: Bound", [Bound i]))
13000
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wenzelm
parents: 12981
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  | fastype_of1 (_, Var (_,T)) = T
61
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lcp
parents: 40
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   347
  | fastype_of1 (Ts, Abs (_,T,u)) = T --> fastype_of1 (T::Ts, u);
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lcp
parents: 40
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   348
f8c1922b78e3 Pure/term/fastype_of1: renamed from fastype_of
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parents: 40
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fun fastype_of t : typ = fastype_of1 ([],t);
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(*Determine the argument type of a function*)
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fun argument_type_of tm =
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  let
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   354
    fun argT i (Type ("fun", [T, U])) = if i = 0 then T else argT (i - 1) U
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wenzelm
parents: 16667
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   355
      | argT _ T = raise TYPE ("argument_type_of", [T], []);
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wenzelm
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   356
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
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   357
    fun arg 0 _ (Abs (_, T, _)) = T
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wenzelm
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      | arg i Ts (Abs (_, T, t)) = arg (i - 1) (T :: Ts) t
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wenzelm
parents: 16667
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      | arg i Ts (t $ _) = arg (i + 1) Ts t
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wenzelm
parents: 16667
diff changeset
   360
      | arg i Ts a = argT i (fastype_of1 (Ts, a));
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wenzelm
parents: 16667
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  in arg 0 [] tm end;
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wenzelm
parents: 16667
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   362
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clasohm
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   363
19473
wenzelm
parents: 19455
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   364
val list_abs = uncurry (fold_rev (fn (x, T) => fn t => Abs (x, T, t)));
10806
2eba1c06592c added list_abs;
wenzelm
parents: 10666
diff changeset
   365
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haftmann
parents: 18893
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   366
fun strip_abs (Abs (a, T, t)) =
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haftmann
parents: 18893
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      let val (a', t') = strip_abs t
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haftmann
parents: 18893
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   368
      in ((a, T) :: a', t') end
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haftmann
parents: 18893
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   369
  | strip_abs t = ([], t);
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haftmann
parents: 18893
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   370
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   371
(* maps  (x1,...,xn)t   to   t  *)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
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   372
fun strip_abs_body (Abs(_,_,t))  =  strip_abs_body t
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clasohm
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   373
  | strip_abs_body u  =  u;
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   374
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clasohm
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   375
(* maps  (x1,...,xn)t   to   [x1, ..., xn]  *)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
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   376
fun strip_abs_vars (Abs(a,T,t))  =  (a,T) :: strip_abs_vars t
0
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clasohm
parents:
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   377
  | strip_abs_vars u  =  [] : (string*typ) list;
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parents:
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   378
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clasohm
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   379
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clasohm
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   380
fun strip_qnt_body qnt =
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clasohm
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   381
let fun strip(tm as Const(c,_)$Abs(_,_,t)) = if c=qnt then strip t else tm
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clasohm
parents:
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   382
      | strip t = t
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clasohm
parents:
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   383
in strip end;
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clasohm
parents:
diff changeset
   384
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clasohm
parents:
diff changeset
   385
fun strip_qnt_vars qnt =
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clasohm
parents:
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   386
let fun strip(Const(c,_)$Abs(a,T,t)) = if c=qnt then (a,T)::strip t else []
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clasohm
parents:
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   387
      | strip t  =  [] : (string*typ) list
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clasohm
parents:
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   388
in strip end;
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clasohm
parents:
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   389
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clasohm
parents:
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   390
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clasohm
parents:
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   391
(* maps   (f, [t1,...,tn])  to  f(t1,...,tn) *)
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   392
val list_comb : term * term list -> term = Library.foldl (op $);
0
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clasohm
parents:
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   393
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clasohm
parents:
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   394
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   395
(* maps   f(t1,...,tn)  to  (f, [t1,...,tn]) ; naturally tail-recursive*)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   396
fun strip_comb u : term * term list =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   397
    let fun stripc (f$t, ts) = stripc (f, t::ts)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   398
        |   stripc  x =  x
0
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clasohm
parents:
diff changeset
   399
    in  stripc(u,[])  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   400
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   401
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   402
(* maps   f(t1,...,tn)  to  f , which is never a combination *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   403
fun head_of (f$t) = head_of f
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clasohm
parents:
diff changeset
   404
  | head_of u = u;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   405
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   406
16599
34f99c3221bb tuned sort_ord: pointer_eq;
wenzelm
parents: 16589
diff changeset
   407
(*number of atoms and abstractions in a term*)
34f99c3221bb tuned sort_ord: pointer_eq;
wenzelm
parents: 16589
diff changeset
   408
fun size_of_term tm =
34f99c3221bb tuned sort_ord: pointer_eq;
wenzelm
parents: 16589
diff changeset
   409
  let
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   410
    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
   411
      | add_size (Abs (_ ,_, t), n) = add_size (t, n + 1)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   412
      | add_size (_, n) = n + 1;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   413
  in add_size (tm, 0) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   414
18847
5fac129ae936 added map_atype, map_aterms
haftmann
parents: 18253
diff changeset
   415
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
   416
  | map_atyps f T = f T;
18847
5fac129ae936 added map_atype, map_aterms
haftmann
parents: 18253
diff changeset
   417
5fac129ae936 added map_atype, map_aterms
haftmann
parents: 18253
diff changeset
   418
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
   419
  | 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
   420
  | map_aterms f t = f t;
5fac129ae936 added map_atype, map_aterms
haftmann
parents: 18253
diff changeset
   421
18981
a7b7cf408cff map_type_tvar/tfree: map_atyps;
wenzelm
parents: 18976
diff changeset
   422
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
   423
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
   424
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   425
fun map_term_types f =
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   426
  let
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   427
    fun map_aux (Const (a, T)) = Const (a, f T)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   428
      | map_aux (Free (a, T)) = Free (a, f T)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   429
      | map_aux (Var (v, T)) = Var (v, f T)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   430
      | map_aux (t as Bound _)  = t
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   431
      | 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
   432
      | map_aux (t $ u) = map_aux t $ map_aux u;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   433
  in map_aux end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   434
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   435
(* iterate a function over all types in a term *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   436
fun it_term_types f =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   437
let fun iter(Const(_,T), a) = f(T,a)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   438
      | iter(Free(_,T), a) = f(T,a)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   439
      | iter(Var(_,T), a) = f(T,a)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   440
      | iter(Abs(_,T,t), a) = iter(t,f(T,a))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   441
      | iter(f$u, a) = iter(f, iter(u, a))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   442
      | iter(Bound _, a) = a
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   443
in iter end
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   444
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   445
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   446
(* fold types and terms *)
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   447
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   448
(*fold atoms of type*)
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   449
fun fold_atyps f (Type (_, Ts)) = fold (fold_atyps f) Ts
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   450
  | fold_atyps f T = f T;
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   451
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   452
(*fold atoms of term*)
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   453
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
   454
  | fold_aterms f (Abs (_, _, t)) = fold_aterms f t
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   455
  | fold_aterms f a = f a;
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   456
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   457
(*fold types of term*)
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   458
fun fold_term_types f (t as Const (_, T)) = f t T
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   459
  | fold_term_types f (t as Free (_, T)) = f t T
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   460
  | fold_term_types f (t as Var (_, T)) = f t T
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   461
  | fold_term_types f (Bound _) = I
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   462
  | 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
   463
  | 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
   464
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   465
fun fold_types f = fold_term_types (K f);
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   466
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   467
(*collect variables*)
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   468
val add_tvarsT = fold_atyps (fn TVar v => insert (op =) v | _ => I);
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   469
val add_tvars = fold_types add_tvarsT;
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   470
val add_vars = fold_aterms (fn Var v => insert (op =) v | _ => I);
20199
3170fea83ae7 is_funtype: do not export internal operation;
wenzelm
parents: 20160
diff changeset
   471
val add_varnames = fold_aterms (fn Var (xi, _) => insert (op =) xi | _ => I);
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   472
val add_tfreesT = fold_atyps (fn TFree v => insert (op =) v | _ => I);
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   473
val add_tfrees = fold_types add_tfreesT;
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   474
val add_frees = fold_aterms (fn Free v => insert (op =) v | _ => I);
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   475
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   476
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   477
(** Comparing terms, types, sorts etc. **)
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   478
20511
c7daff0a3193 removed obsolete aconvs (use eq_list aconv);
wenzelm
parents: 20331
diff changeset
   479
(* alpha equivalence -- tuned for equalities *)
c7daff0a3193 removed obsolete aconvs (use eq_list aconv);
wenzelm
parents: 20331
diff changeset
   480
c7daff0a3193 removed obsolete aconvs (use eq_list aconv);
wenzelm
parents: 20331
diff changeset
   481
fun tm1 aconv tm2 =
c7daff0a3193 removed obsolete aconvs (use eq_list aconv);
wenzelm
parents: 20331
diff changeset
   482
  pointer_eq (tm1, tm2) orelse
c7daff0a3193 removed obsolete aconvs (use eq_list aconv);
wenzelm
parents: 20331
diff changeset
   483
    (case (tm1, tm2) of
c7daff0a3193 removed obsolete aconvs (use eq_list aconv);
wenzelm
parents: 20331
diff changeset
   484
      (t1 $ u1, t2 $ u2) => t1 aconv t2 andalso u1 aconv u2
c7daff0a3193 removed obsolete aconvs (use eq_list aconv);
wenzelm
parents: 20331
diff changeset
   485
    | (Abs (_, T1, t1), Abs (_, T2, t2)) => t1 aconv t2 andalso T1 = T2
c7daff0a3193 removed obsolete aconvs (use eq_list aconv);
wenzelm
parents: 20331
diff changeset
   486
    | (a1, a2) => a1 = a2);
c7daff0a3193 removed obsolete aconvs (use eq_list aconv);
wenzelm
parents: 20331
diff changeset
   487
c7daff0a3193 removed obsolete aconvs (use eq_list aconv);
wenzelm
parents: 20331
diff changeset
   488
c7daff0a3193 removed obsolete aconvs (use eq_list aconv);
wenzelm
parents: 20331
diff changeset
   489
(* fast syntactic ordering -- tuned for inequalities *)
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   490
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   491
fun fast_indexname_ord ((x, i), (y, j)) =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   492
  (case int_ord (i, j) of EQUAL => fast_string_ord (x, y) | ord => ord);
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   493
16599
34f99c3221bb tuned sort_ord: pointer_eq;
wenzelm
parents: 16589
diff changeset
   494
fun sort_ord SS =
34f99c3221bb tuned sort_ord: pointer_eq;
wenzelm
parents: 16589
diff changeset
   495
  if pointer_eq SS then EQUAL
16990
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   496
  else dict_ord fast_string_ord SS;
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   497
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   498
local
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   499
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   500
fun cons_nr (TVar _) = 0
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   501
  | cons_nr (TFree _) = 1
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   502
  | cons_nr (Type _) = 2;
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   503
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   504
in
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   505
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   506
fun typ_ord TU =
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   507
  if pointer_eq TU then EQUAL
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   508
  else
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   509
    (case TU of
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   510
      (Type (a, Ts), Type (b, Us)) =>
16990
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   511
        (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
   512
    | (TFree (a, S), TFree (b, S')) =>
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   513
        (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
   514
    | (TVar (xi, S), TVar (yj, S')) =>
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   515
        (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
   516
    | (T, U) => int_ord (cons_nr T, cons_nr U));
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
end;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   519
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   520
local
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   521
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   522
fun cons_nr (Const _) = 0
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   523
  | cons_nr (Free _) = 1
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   524
  | cons_nr (Var _) = 2
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   525
  | cons_nr (Bound _) = 3
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   526
  | cons_nr (Abs _) = 4
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   527
  | cons_nr (_ $ _) = 5;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   528
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   529
fun struct_ord (Abs (_, _, t), Abs (_, _, u)) = struct_ord (t, u)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   530
  | struct_ord (t1 $ t2, u1 $ u2) =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   531
      (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
   532
  | 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
   533
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   534
fun atoms_ord (Abs (_, _, t), Abs (_, _, u)) = atoms_ord (t, u)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   535
  | atoms_ord (t1 $ t2, u1 $ u2) =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   536
      (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
   537
  | atoms_ord (Const (a, _), Const (b, _)) = fast_string_ord (a, b)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   538
  | atoms_ord (Free (x, _), Free (y, _)) = fast_string_ord (x, y)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   539
  | atoms_ord (Var (xi, _), Var (yj, _)) = fast_indexname_ord (xi, yj)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   540
  | atoms_ord (Bound i, Bound j) = int_ord (i, j)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   541
  | atoms_ord _ = sys_error "atoms_ord";
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   542
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   543
fun types_ord (Abs (_, T, t), Abs (_, U, u)) =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   544
      (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
   545
  | types_ord (t1 $ t2, u1 $ u2) =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   546
      (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
   547
  | types_ord (Const (_, T), Const (_, U)) = typ_ord (T, U)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   548
  | types_ord (Free (_, T), Free (_, U)) = typ_ord (T, U)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   549
  | types_ord (Var (_, T), Var (_, U)) = typ_ord (T, U)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   550
  | types_ord (Bound _, Bound _) = EQUAL
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   551
  | types_ord _ = sys_error "types_ord";
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   552
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   553
in
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   554
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   555
fun fast_term_ord tu =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   556
  if pointer_eq tu then EQUAL
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   557
  else
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   558
    (case struct_ord tu of
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   559
      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
   560
    | ord => ord);
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   561
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   562
structure Vartab = TableFun(type key = indexname val ord = fast_indexname_ord);
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   563
structure Typtab = TableFun(type key = typ val ord = typ_ord);
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   564
structure Termtab = TableFun(type key = term val ord = fast_term_ord);
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   565
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   566
end;
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   567
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   568
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   569
(* term_ord *)
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   570
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   571
(*a linear well-founded AC-compatible ordering for terms:
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   572
  s < t <=> 1. size(s) < size(t) or
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   573
            2. size(s) = size(t) and s=f(...) and t=g(...) and f<g or
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   574
            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
   575
               (s1..sn) < (t1..tn) (lexicographically)*)
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   576
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   577
fun indexname_ord ((x, i), (y, j)) =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   578
  (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
   579
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   580
local
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   581
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   582
fun hd_depth (t $ _, n) = hd_depth (t, n + 1)
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   583
  | hd_depth p = p;
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   584
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   585
fun dest_hd (Const (a, T)) = (((a, 0), T), 0)
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   586
  | dest_hd (Free (a, T)) = (((a, 0), T), 1)
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   587
  | dest_hd (Var v) = (v, 2)
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   588
  | dest_hd (Bound i) = ((("", i), dummyT), 3)
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   589
  | dest_hd (Abs (_, T, _)) = ((("", 0), T), 4);
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   590
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   591
in
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   592
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   593
fun term_ord tu =
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   594
  if pointer_eq tu then EQUAL
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   595
  else
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   596
    (case tu of
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   597
      (Abs (_, T, t), Abs(_, U, u)) =>
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   598
        (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
   599
    | (t, u) =>
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   600
        (case int_ord (size_of_term t, size_of_term u) of
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   601
          EQUAL =>
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   602
            (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
   603
              EQUAL => args_ord (t, u) | ord => ord)
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   604
        | ord => ord))
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   605
and hd_ord (f, g) =
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   606
  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
   607
and args_ord (f $ t, g $ u) =
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   608
      (case args_ord (f, g) of EQUAL => term_ord (t, u) | ord => ord)
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   609
  | args_ord _ = EQUAL;
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   610
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   611
fun termless tu = (term_ord tu = LESS);
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   612
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   613
end;
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   614
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   615
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   616
(** Lexicographic path order on terms **)
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   617
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   618
(*
16570
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   619
  See Baader & Nipkow, Term rewriting, CUP 1998.
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   620
  Without variables.  Const, Var, Bound, Free and Abs are treated all as
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   621
  constants.
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   622
20129
95e84d2c9f2c Term.term_lpo takes order on terms rather than strings as argument.
ballarin
parents: 20122
diff changeset
   623
  f_ord maps terms to integers and serves two purposes:
16570
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   624
  - Predicate on constant symbols.  Those that are not recognised by f_ord
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   625
    must be mapped to ~1.
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   626
  - Order on the recognised symbols.  These must be mapped to distinct
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   627
    integers >= 0.
20129
95e84d2c9f2c Term.term_lpo takes order on terms rather than strings as argument.
ballarin
parents: 20122
diff changeset
   628
  The argument of f_ord is never an application.
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   629
*)
16570
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   630
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   631
local
20129
95e84d2c9f2c Term.term_lpo takes order on terms rather than strings as argument.
ballarin
parents: 20122
diff changeset
   632
95e84d2c9f2c Term.term_lpo takes order on terms rather than strings as argument.
ballarin
parents: 20122
diff changeset
   633
fun unrecognized (Const (a, T)) = ((1, ((a, 0), T)), 0)
95e84d2c9f2c Term.term_lpo takes order on terms rather than strings as argument.
ballarin
parents: 20122
diff changeset
   634
  | unrecognized (Free (a, T)) = ((1, ((a, 0), T)), 0)
95e84d2c9f2c Term.term_lpo takes order on terms rather than strings as argument.
ballarin
parents: 20122
diff changeset
   635
  | unrecognized (Var v) = ((1, v), 1)
95e84d2c9f2c Term.term_lpo takes order on terms rather than strings as argument.
ballarin
parents: 20122
diff changeset
   636
  | unrecognized (Bound i) = ((1, (("", i), dummyT)), 2)
95e84d2c9f2c Term.term_lpo takes order on terms rather than strings as argument.
ballarin
parents: 20122
diff changeset
   637
  | unrecognized (Abs (_, T, _)) = ((1, (("", 0), T)), 3);
95e84d2c9f2c Term.term_lpo takes order on terms rather than strings as argument.
ballarin
parents: 20122
diff changeset
   638
95e84d2c9f2c Term.term_lpo takes order on terms rather than strings as argument.
ballarin
parents: 20122
diff changeset
   639
fun dest_hd f_ord t =
95e84d2c9f2c Term.term_lpo takes order on terms rather than strings as argument.
ballarin
parents: 20122
diff changeset
   640
      let val ord = f_ord t in
95e84d2c9f2c Term.term_lpo takes order on terms rather than strings as argument.
ballarin
parents: 20122
diff changeset
   641
        if ord = ~1 then unrecognized t else ((0, (("", ord), fastype_of t)), 0)
16570
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   642
      end
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   643
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   644
fun term_lpo f_ord (s, t) =
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   645
  let val (f, ss) = strip_comb s and (g, ts) = strip_comb t in
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   646
    if forall (fn si => term_lpo f_ord (si, t) = LESS) ss
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   647
    then case hd_ord f_ord (f, g) of
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   648
        GREATER =>
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   649
          if forall (fn ti => term_lpo f_ord (s, ti) = GREATER) ts
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   650
          then GREATER else LESS
16570
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   651
      | EQUAL =>
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   652
          if forall (fn ti => term_lpo f_ord (s, ti) = GREATER) ts
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   653
          then list_ord (term_lpo f_ord) (ss, ts)
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   654
          else LESS
16570
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   655
      | LESS => LESS
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   656
    else GREATER
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   657
  end
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   658
and hd_ord f_ord (f, g) = case (f, g) of
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   659
    (Abs (_, T, t), Abs (_, U, u)) =>
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   660
      (case term_lpo f_ord (t, u) of EQUAL => typ_ord (T, U) | ord => ord)
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   661
  | (_, _) => prod_ord (prod_ord int_ord
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   662
                  (prod_ord indexname_ord typ_ord)) int_ord
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   663
                (dest_hd f_ord f, dest_hd f_ord g)
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   664
in
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   665
val term_lpo = term_lpo
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   666
end;
861b9fa2c98c Added term_lpo
nipkow
parents: 16537
diff changeset
   667
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   668
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   669
(** Connectives of higher order logic **)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   670
19394
9f69613362c1 added aT (from axclass.ML);
wenzelm
parents: 19065
diff changeset
   671
fun aT S = TFree ("'a", S);
9f69613362c1 added aT (from axclass.ML);
wenzelm
parents: 19065
diff changeset
   672
375
d7ae7ac22d48 added logicC: class, logicS: sort;
wenzelm
parents: 61
diff changeset
   673
fun itselfT ty = Type ("itself", [ty]);
14854
61bdf2ae4dc5 removed obsolete sort 'logic';
wenzelm
parents: 14829
diff changeset
   674
val a_itselfT = itselfT (TFree ("'a", []));
375
d7ae7ac22d48 added logicC: class, logicS: sort;
wenzelm
parents: 61
diff changeset
   675
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   676
val propT : typ = Type("prop",[]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   677
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   678
val implies = Const("==>", propT-->propT-->propT);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   679
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   680
fun all T = Const("all", (T-->propT)-->propT);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   681
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   682
fun equals T = Const("==", T-->T-->propT);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   683
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   684
(* maps  !!x1...xn. t   to   t  *)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   685
fun strip_all_body (Const("all",_)$Abs(_,_,t))  =  strip_all_body t
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   686
  | strip_all_body t  =  t;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   687
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   688
(* maps  !!x1...xn. t   to   [x1, ..., xn]  *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   689
fun strip_all_vars (Const("all",_)$Abs(a,T,t))  =
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   690
                (a,T) :: strip_all_vars t
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   691
  | strip_all_vars t  =  [] : (string*typ) list;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   692
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   693
(*increments a term's non-local bound variables
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   694
  required when moving a term within abstractions
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   695
     inc is  increment for bound variables
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   696
     lev is  level at which a bound variable is considered 'loose'*)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   697
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
   698
  | incr_bv (inc, lev, Abs(a,T,body)) =
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   699
        Abs(a, T, incr_bv(inc,lev+1,body))
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   700
  | incr_bv (inc, lev, f$t) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   701
      incr_bv(inc,lev,f) $ incr_bv(inc,lev,t)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   702
  | incr_bv (inc, lev, u) = u;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   703
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   704
fun incr_boundvars  0  t = t
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   705
  | incr_boundvars inc t = incr_bv(inc,0,t);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   706
12981
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   707
(*Scan a pair of terms; while they are similar,
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   708
  accumulate corresponding bound vars in "al"*)
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   709
fun match_bvs(Abs(x,_,s),Abs(y,_,t), al) =
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   710
      match_bvs(s, t, if x="" orelse y="" then al
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   711
                                          else (x,y)::al)
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   712
  | 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
   713
  | match_bvs(_,_,al) = al;
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   714
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   715
(* strip abstractions created by parameters *)
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   716
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
   717
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   718
fun rename_abs pat obj t =
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   719
  let
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   720
    val ren = match_bvs (pat, obj, []);
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   721
    fun ren_abs (Abs (x, T, b)) =
18942
9228bbe9cd4e lambda: abstract over any const;
wenzelm
parents: 18927
diff changeset
   722
          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
   723
      | ren_abs (f $ t) = ren_abs f $ ren_abs t
f48de47c32d6 added match_bvars, rename_abs (from thm.ML);
wenzelm
parents: 12902
diff changeset
   724
      | ren_abs t = t
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15472
diff changeset
   725
  in if null ren then NONE else SOME (ren_abs t) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   726
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   727
(*Accumulate all 'loose' bound vars referring to level 'lev' or beyond.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   728
   (Bound 0) is loose at level 0 *)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   729
fun add_loose_bnos (Bound i, lev, js) =
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   730
        if i<lev then js  else  (i-lev) ins_int js
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   731
  | add_loose_bnos (Abs (_,_,t), lev, js) = add_loose_bnos (t, lev+1, js)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   732
  | add_loose_bnos (f$t, lev, js) =
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   733
        add_loose_bnos (f, lev, add_loose_bnos (t, lev, js))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   734
  | add_loose_bnos (_, _, js) = js;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   735
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   736
fun loose_bnos t = add_loose_bnos (t, 0, []);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   737
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   738
(* loose_bvar(t,k) iff t contains a 'loose' bound variable referring to
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   739
   level k or beyond. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   740
fun loose_bvar(Bound i,k) = i >= k
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   741
  | loose_bvar(f$t, k) = loose_bvar(f,k) orelse loose_bvar(t,k)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   742
  | loose_bvar(Abs(_,_,t),k) = loose_bvar(t,k+1)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   743
  | loose_bvar _ = false;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   744
2792
6c17c5ec3d8b Avoid eta-contraction in the simplifier.
nipkow
parents: 2752
diff changeset
   745
fun loose_bvar1(Bound i,k) = i = k
6c17c5ec3d8b Avoid eta-contraction in the simplifier.
nipkow
parents: 2752
diff changeset
   746
  | 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
   747
  | loose_bvar1(Abs(_,_,t),k) = loose_bvar1(t,k+1)
6c17c5ec3d8b Avoid eta-contraction in the simplifier.
nipkow
parents: 2752
diff changeset
   748
  | loose_bvar1 _ = false;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   749
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   750
(*Substitute arguments for loose bound variables.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   751
  Beta-reduction of arg(n-1)...arg0 into t replacing (Bound i) with (argi).
4626
51dd12f34c78 tuned comments;
wenzelm
parents: 4604
diff changeset
   752
  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
   753
        and the appropriate call is  subst_bounds([b,a], c) .
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   754
  Loose bound variables >=n are reduced by "n" to
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   755
     compensate for the disappearance of lambdas.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   756
*)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   757
fun subst_bounds (args: term list, t) : term =
19065
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   758
  let
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   759
    exception SAME;
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   760
    val n = length args;
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   761
    fun subst (t as Bound i, lev) =
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   762
         (if i < lev then raise SAME   (*var is locally bound*)
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   763
          else incr_boundvars lev (List.nth (args, i - lev))
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   764
            handle Subscript => Bound (i - n))  (*loose: change it*)
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   765
      | subst (Abs (a, T, body), lev) = Abs (a, T, subst (body, lev + 1))
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   766
      | subst (f $ t, lev) =
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   767
          (subst (f, lev) $ (subst (t, lev) handle SAME => t) handle SAME => f $ subst (t, lev))
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   768
      | subst _ = raise SAME;
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   769
  in case args of [] => t | _ => (subst (t, 0) handle SAME => t) end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   770
2192
3bf092b5310b Optimizations: removal of polymorphic equality; one-argument case
paulson
parents: 2182
diff changeset
   771
(*Special case: one argument*)
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   772
fun subst_bound (arg, t) : term =
19065
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   773
  let
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   774
    exception SAME;
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   775
    fun subst (Bound i, lev) =
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   776
          if i < lev then raise SAME   (*var is locally bound*)
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   777
          else if i = lev then incr_boundvars lev arg
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   778
          else Bound (i - 1)   (*loose: change it*)
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   779
      | subst (Abs (a, T, body), lev) = Abs (a, T, subst (body, lev + 1))
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   780
      | subst (f $ t, lev) =
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   781
          (subst (f, lev) $ (subst (t, lev) handle SAME => t) handle SAME => f $ subst (t, lev))
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   782
      | subst _ = raise SAME;
82e2d66f995b tuned subst_bound(s);
wenzelm
parents: 19014
diff changeset
   783
  in subst (t, 0) handle SAME => t end;
2192
3bf092b5310b Optimizations: removal of polymorphic equality; one-argument case
paulson
parents: 2182
diff changeset
   784
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   785
(*beta-reduce if possible, else form application*)
2192
3bf092b5310b Optimizations: removal of polymorphic equality; one-argument case
paulson
parents: 2182
diff changeset
   786
fun betapply (Abs(_,_,t), u) = subst_bound (u,t)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   787
  | betapply (f,u) = f$u;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   788
18183
a9f67248996a added betapplys;
wenzelm
parents: 18149
diff changeset
   789
val betapplys = Library.foldl betapply;
a9f67248996a added betapplys;
wenzelm
parents: 18149
diff changeset
   790
14786
24a7bc97a27a moved some sort ops to sorts.ML; added string_of_vname (from Syntax module);
wenzelm
parents: 14695
diff changeset
   791
20109
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   792
(*unfolding abstractions with substitution
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   793
  of bound variables and implicit eta-expansion*)
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   794
fun strip_abs_eta k t =
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   795
  let
20122
27255556b762 strip_abs_eta: proper use of Name.context;
wenzelm
parents: 20116
diff changeset
   796
    val used = fold_aterms (fn Free (v, _) => Name.declare v | _ => I) t Name.context;
20109
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   797
    fun strip_abs t (0, used) = (([], t), (0, used))
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   798
      | strip_abs (Abs (v, T, t)) (k, used) =
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   799
          let
20122
27255556b762 strip_abs_eta: proper use of Name.context;
wenzelm
parents: 20116
diff changeset
   800
            val ([v'], used') = Name.variants [v] used;
20109
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   801
            val t' = subst_bound (Free (v, T), t);
20122
27255556b762 strip_abs_eta: proper use of Name.context;
wenzelm
parents: 20116
diff changeset
   802
            val ((vs, t''), (k', used'')) = strip_abs t' (k - 1, used');
27255556b762 strip_abs_eta: proper use of Name.context;
wenzelm
parents: 20116
diff changeset
   803
          in (((v', T) :: vs, t''), (k', used'')) end
20109
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   804
      | strip_abs t (k, used) = (([], t), (k, used));
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   805
    fun expand_eta [] t _ = ([], t)
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   806
      | expand_eta (T::Ts) t used =
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   807
          let
20122
27255556b762 strip_abs_eta: proper use of Name.context;
wenzelm
parents: 20116
diff changeset
   808
            val ([v], used') = Name.variants [""] used;
27255556b762 strip_abs_eta: proper use of Name.context;
wenzelm
parents: 20116
diff changeset
   809
            val (vs, t') = expand_eta Ts (t $ Free (v, T)) used';
20109
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   810
          in ((v, T) :: vs, t') end;
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   811
    val ((vs1, t'), (k', used')) = strip_abs t (k, used);
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   812
    val Ts = (fst o chop k' o fst o strip_type o fastype_of) t';
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   813
    val (vs2, t'') = expand_eta Ts t' used';
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   814
  in (vs1 @ vs2, t'') end;
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   815
47fef41c68fb added strip_abs_eta
haftmann
parents: 20100
diff changeset
   816
20199
3170fea83ae7 is_funtype: do not export internal operation;
wenzelm
parents: 20160
diff changeset
   817
(* comparing variables *)
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   818
16724
1c8317722b4c tuned eq_ix;
wenzelm
parents: 16710
diff changeset
   819
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
   820
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   821
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
   822
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
   823
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   824
val tvar_ord = prod_ord indexname_ord sort_ord;
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
   825
val var_ord = prod_ord indexname_ord typ_ord;
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   826
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   827
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   828
(*A fast unification filter: true unless the two terms cannot be unified.
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   829
  Terms must be NORMAL.  Treats all Vars as distinct. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   830
fun could_unify (t,u) =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   831
  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
   832
        | matchrands _ = true
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   833
  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
   834
        (_, Var _) => true
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   835
      | (Var _, _) => true
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   836
      | (Const(a,_), Const(b,_)) =>  a=b andalso matchrands(t,u)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   837
      | (Free(a,_), Free(b,_)) =>  a=b andalso matchrands(t,u)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   838
      | (Bound i, Bound j) =>  i=j andalso matchrands(t,u)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   839
      | (Abs _, _) =>  true   (*because of possible eta equality*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   840
      | (_, Abs _) =>  true
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   841
      | _ => false
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   842
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   843
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   844
(*Substitute new for free occurrences of old in a term*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   845
fun subst_free [] = (fn t=>t)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   846
  | subst_free pairs =
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   847
      let fun substf u =
17314
04e21a27c0ad introduces some modern-style AList operations
haftmann
parents: 17271
diff changeset
   848
            case AList.lookup (op aconv) pairs u of
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15472
diff changeset
   849
                SOME u' => u'
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 15472
diff changeset
   850
              | 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
   851
                                 | t$u' => substf t $ substf u'
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
   852
                                 | _ => u)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   853
      in  substf  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   854
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   855
(*Abstraction of the term "body" over its occurrences of v,
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   856
    which must contain no loose bound variables.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   857
  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
   858
fun abstract_over (v, body) =
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   859
  let
16990
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   860
    exception SAME;
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   861
    fun abs lev tm =
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   862
      if v aconv tm then Bound lev
16882
a0273f573f23 moved incr_tvar to logic.ML;
wenzelm
parents: 16863
diff changeset
   863
      else
16990
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   864
        (case tm of
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   865
          Abs (a, T, t) => Abs (a, T, abs (lev + 1) t)
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   866
        | 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
   867
        | _ => raise SAME);
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   868
  in abs 0 body handle SAME => body end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   869
18975
78d650a7e99a lambda: base name of Const;
wenzelm
parents: 18942
diff changeset
   870
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
   871
  | lambda (v as Free (x, T)) t = Abs (x, T, abstract_over (v, t))
13665
66e151df01c8 - removed flexpair
berghofe
parents: 13646
diff changeset
   872
  | lambda (v as Var ((x, _), T)) t = Abs (x, T, abstract_over (v, t))
66e151df01c8 - removed flexpair
berghofe
parents: 13646
diff changeset
   873
  | lambda v t = raise TERM ("lambda", [v, t]);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   874
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   875
(*Form an abstraction over a free variable.*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   876
fun absfree (a,T,body) = Abs(a, T, abstract_over (Free(a,T), body));
17786
f06d6498ebf0 added absdummy;
wenzelm
parents: 17777
diff changeset
   877
fun absdummy (T, body) = Abs ("uu", T, body);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   878
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   879
(*Abstraction over a list of free variables*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   880
fun list_abs_free ([ ] ,     t) = t
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   881
  | list_abs_free ((a,T)::vars, t) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   882
      absfree(a, T, list_abs_free(vars,t));
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   883
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   884
(*Quantification over a list of free variables*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   885
fun list_all_free ([], t: term) = t
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   886
  | list_all_free ((a,T)::vars, t) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   887
        (all T) $ (absfree(a, T, list_all_free(vars,t)));
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   888
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   889
(*Quantification over a list of variables (already bound in body) *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   890
fun list_all ([], t) = t
13000
e56aedec11f3 structure Typtab;
wenzelm
parents: 12981
diff changeset
   891
  | list_all ((a,T)::vars, t) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   892
        (all T) $ (Abs(a, T, list_all(vars,t)));
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   893
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   894
(*Replace the ATOMIC term ti by ui;    inst = [(t1,u1), ..., (tn,un)].
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   895
  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
   896
fun subst_atomic [] tm = tm
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   897
  | subst_atomic inst tm =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   898
      let
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   899
        fun subst (Abs (a, T, body)) = Abs (a, T, subst body)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   900
          | subst (t $ u) = subst t $ subst u
18942
9228bbe9cd4e lambda: abstract over any const;
wenzelm
parents: 18927
diff changeset
   901
          | 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
   902
      in subst tm end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   903
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   904
(*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
   905
fun typ_subst_atomic [] ty = ty
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   906
  | typ_subst_atomic inst ty =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   907
      let
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   908
        fun subst (Type (a, Ts)) = Type (a, map subst Ts)
18942
9228bbe9cd4e lambda: abstract over any const;
wenzelm
parents: 18927
diff changeset
   909
          | 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
   910
      in subst ty end;
15797
a63605582573 - Eliminated nodup_vars check.
berghofe
parents: 15632
diff changeset
   911
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   912
fun subst_atomic_types [] tm = tm
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   913
  | 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
   914
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   915
fun typ_subst_TVars [] ty = ty
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   916
  | typ_subst_TVars inst ty =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   917
      let
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   918
        fun subst (Type (a, Ts)) = Type (a, map subst Ts)
18942
9228bbe9cd4e lambda: abstract over any const;
wenzelm
parents: 18927
diff changeset
   919
          | 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
   920
          | subst T = T;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   921
      in subst ty end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   922
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   923
fun subst_TVars [] tm = tm
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   924
  | subst_TVars inst tm = map_term_types (typ_subst_TVars inst) tm;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   925
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   926
fun subst_Vars [] tm = tm
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   927
  | subst_Vars inst tm =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   928
      let
18942
9228bbe9cd4e lambda: abstract over any const;
wenzelm
parents: 18927
diff changeset
   929
        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
   930
          | subst (Abs (a, T, t)) = Abs (a, T, subst t)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   931
          | subst (t $ u) = subst t $ subst u
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   932
          | subst t = t;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   933
      in subst tm end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   934
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   935
fun subst_vars ([], []) tm = tm
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   936
  | subst_vars ([], inst) tm = subst_Vars inst tm
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   937
  | subst_vars (instT, inst) tm =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   938
      let
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   939
        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
   940
          | subst (Free (a, T)) = Free (a, typ_subst_TVars instT T)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   941
          | subst (t as Var (xi, T)) =
17271
2756a73f63a5 introduced some new-style AList operations
haftmann
parents: 16990
diff changeset
   942
              (case AList.lookup (op =) inst xi of
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   943
                NONE => Var (xi, typ_subst_TVars instT T)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   944
              | SOME t => t)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   945
          | subst (t as Bound _) = t
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   946
          | 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
   947
          | subst (t $ u) = subst t $ subst u;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
   948
      in subst tm end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   949
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   950
15573
cf53c2dcf440 new first_order test
paulson
parents: 15570
diff changeset
   951
(** Identifying first-order terms **)
cf53c2dcf440 new first_order test
paulson
parents: 15570
diff changeset
   952
20199
3170fea83ae7 is_funtype: do not export internal operation;
wenzelm
parents: 20160
diff changeset
   953
(*Differs from proofterm/is_fun in its treatment of TVar*)
3170fea83ae7 is_funtype: do not export internal operation;
wenzelm
parents: 20160
diff changeset
   954
fun is_funtype (Type("fun",[_,_])) = true
3170fea83ae7 is_funtype: do not export internal operation;
wenzelm
parents: 20160
diff changeset
   955
  | is_funtype _ = false;
3170fea83ae7 is_funtype: do not export internal operation;
wenzelm
parents: 20160
diff changeset
   956
15573
cf53c2dcf440 new first_order test
paulson
parents: 15570
diff changeset
   957
(*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
   958
fun has_not_funtype Ts t = not (is_funtype (fastype_of1 (Ts,t)));
cf53c2dcf440 new first_order test
paulson
parents: 15570
diff changeset
   959
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
   960
(*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
   961
  function type. The supplied quantifiers are excluded: their argument always
24c32abc8b84 first-order check now allows quantifiers
paulson
parents: 16570
diff changeset
   962
  has a function type through a recursive call into its body.*)
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   963
fun is_first_order quants =
16589
24c32abc8b84 first-order check now allows quantifiers
paulson
parents: 16570
diff changeset
   964
  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
   965
        | first_order1 Ts (Const(q,_) $ Abs(a,T,body)) =
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   966
            q mem_string quants  andalso   (*it is a known quantifier*)
16589
24c32abc8b84 first-order check now allows quantifiers
paulson
parents: 16570
diff changeset
   967
            not (is_funtype T)   andalso first_order1 (T::Ts) body
16667
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   968
        | first_order1 Ts t =
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   969
            case strip_comb t of
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   970
                 (Var _, ts) => forall (first_order1 Ts andf has_not_funtype Ts) ts
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   971
               | (Free _, ts) => forall (first_order1 Ts andf has_not_funtype Ts) ts
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   972
               | (Const _, ts) => forall (first_order1 Ts andf has_not_funtype Ts) ts
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   973
               | (Bound _, ts) => forall (first_order1 Ts andf has_not_funtype Ts) ts
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   974
               | (Abs _, ts) => false (*not in beta-normal form*)
f56080acd176 tuned term_ord: less garbage;
wenzelm
parents: 16599
diff changeset
   975
               | _ => error "first_order: unexpected case"
16589
24c32abc8b84 first-order check now allows quantifiers
paulson
parents: 16570
diff changeset
   976
    in  first_order1 []  end;
15573
cf53c2dcf440 new first_order test
paulson
parents: 15570
diff changeset
   977
16710
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
   978
16990
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
   979
(* maximum index of typs and terms *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   980
16710
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
   981
fun maxidx_typ (TVar ((_, j), _)) i = Int.max (i, j)
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
   982
  | maxidx_typ (Type (_, Ts)) i = maxidx_typs Ts i
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
   983
  | maxidx_typ (TFree _) i = i
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
   984
and maxidx_typs [] i = i
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
   985
  | maxidx_typs (T :: Ts) i = maxidx_typs Ts (maxidx_typ T i);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   986
16710
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
   987
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
   988
  | maxidx_term (Const (_, T)) i = maxidx_typ T i
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
   989
  | maxidx_term (Free (_, T)) i = maxidx_typ T i
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
   990
  | maxidx_term (Bound _) i = i
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
   991
  | 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
   992
  | maxidx_term (t $ u) i = maxidx_term u (maxidx_term t i);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   993
16710
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
   994
fun maxidx_of_typ T = maxidx_typ T ~1;
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
   995
fun maxidx_of_typs Ts = maxidx_typs Ts ~1;
3d6335ff3982 tuned maxidx_of_typ/typs/term;
wenzelm
parents: 16678
diff changeset
   996
fun maxidx_of_term t = maxidx_term t ~1;
13665
66e151df01c8 - removed flexpair
berghofe
parents: 13646
diff changeset
   997
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   998
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   999
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1000
(**** Syntax-related declarations ****)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1001
19909
6b5574d64aa4 added exists_subtype;
wenzelm
parents: 19647
diff changeset
  1002
(* substructure *)
4017
63878e2587a7 add_typ_classes, add_typ_tycons, add_term_classes, add_term_tycons,
wenzelm
parents: 3965
diff changeset
  1003
19909
6b5574d64aa4 added exists_subtype;
wenzelm
parents: 19647
diff changeset
  1004
fun exists_subtype P =
6b5574d64aa4 added exists_subtype;
wenzelm
parents: 19647
diff changeset
  1005
  let
6b5574d64aa4 added exists_subtype;
wenzelm
parents: 19647
diff changeset
  1006
    fun ex ty = P ty orelse
6b5574d64aa4 added exists_subtype;
wenzelm
parents: 19647
diff changeset
  1007
      (case ty of Type (_, Ts) => exists ex Ts | _ => false);
6b5574d64aa4 added exists_subtype;
wenzelm
parents: 19647
diff changeset
  1008
  in ex end;
13646
46ed3d042ba5 Ported find_intro/elim to Isar.
nipkow
parents: 13484
diff changeset
  1009
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1010
fun exists_subterm P =
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1011
  let
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1012
    fun ex tm = P tm orelse
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1013
      (case tm of
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1014
        t $ u => ex t orelse ex u
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1015
      | Abs (_, _, t) => ex t
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1016
      | _ => false);
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1017
  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
  1018
19909
6b5574d64aa4 added exists_subtype;
wenzelm
parents: 19647
diff changeset
  1019
6b5574d64aa4 added exists_subtype;
wenzelm
parents: 19647
diff changeset
  1020
(** Consts etc. **)
6b5574d64aa4 added exists_subtype;
wenzelm
parents: 19647
diff changeset
  1021
6b5574d64aa4 added exists_subtype;
wenzelm
parents: 19647
diff changeset
  1022
fun add_term_consts (Const (c, _), cs) = insert (op =) c cs
6b5574d64aa4 added exists_subtype;
wenzelm
parents: 19647
diff changeset
  1023
  | add_term_consts (t $ u, cs) = add_term_consts (t, add_term_consts (u, cs))
6b5574d64aa4 added exists_subtype;
wenzelm
parents: 19647
diff changeset
  1024
  | add_term_consts (Abs (_, _, t), cs) = add_term_consts (t, cs)
6b5574d64aa4 added exists_subtype;
wenzelm
parents: 19647
diff changeset
  1025
  | add_term_consts (_, cs) = cs;
6b5574d64aa4 added exists_subtype;
wenzelm
parents: 19647
diff changeset
  1026
6b5574d64aa4 added exists_subtype;
wenzelm
parents: 19647
diff changeset
  1027
fun term_consts t = add_term_consts(t,[]);
6b5574d64aa4 added exists_subtype;
wenzelm
parents: 19647
diff changeset
  1028
16943
ba05effdec42 added add_tfreesT, add_tfrees;
wenzelm
parents: 16882
diff changeset
  1029
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
  1030
4017
63878e2587a7 add_typ_classes, add_typ_tycons, add_term_classes, add_term_tycons,
wenzelm
parents: 3965
diff changeset
  1031
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1032
(** TFrees and TVars **)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1033
12802
c69bd9754473 added add_term_free_names (more precise/efficient than add_term_names);
wenzelm
parents: 12499
diff changeset
  1034
(*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
  1035
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
  1036
  | add_term_free_names (f$u, bs) = add_term_free_names (f, add_term_free_names(u, bs))
c69bd9754473 added add_term_free_names (more precise/efficient than add_term_names);
wenzelm
parents: 12499
diff changeset
  1037
  | add_term_free_names (Abs(_,_,t), bs) = add_term_free_names(t,bs)
c69bd9754473 added add_term_free_names (more precise/efficient than add_term_names);
wenzelm
parents: 12499
diff changeset
  1038
  | add_term_free_names (_, bs) = bs;
c69bd9754473 added add_term_free_names (more precise/efficient than add_term_names);
wenzelm
parents: 12499
diff changeset
  1039
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1040
(*Accumulates the names in the term, suppressing duplicates.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1041
  Includes Frees and Consts.  For choosing unambiguous bound var names.*)
10666
d2a7c5be62be fixed add_term_names: NameSpace.base;
wenzelm
parents: 10552
diff changeset
  1042
fun add_term_names (Const(a,_), bs) = NameSpace.base a ins_string bs
2176
43e5c20a593c Changed some mem and ins calls to be monomorphic
paulson
parents: 2146
diff changeset
  1043
  | add_term_names (Free(a,_), bs) = a ins_string bs
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1044
  | add_term_names (f$u, bs) = add_term_names (f, add_term_names(u, bs))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1045
  | add_term_names (Abs(_,_,t), bs) = add_term_names(t,bs)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1046
  | add_term_names (_, bs) = bs;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1047
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1048
(*Accumulates the TVars in a type, suppressing duplicates. *)
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15573
diff changeset
  1049
fun add_typ_tvars(Type(_,Ts),vs) = foldr add_typ_tvars vs Ts
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1050
  | add_typ_tvars(TFree(_),vs) = vs
16294
97c9f2c1de3d avoid polymorphic ins;
wenzelm
parents: 16108
diff changeset
  1051
  | add_typ_tvars(TVar(v),vs) = insert (op =) v vs;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1052
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1053
(*Accumulates the TFrees in a type, suppressing duplicates. *)
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15573
diff changeset
  1054
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
  1055
  | add_typ_tfree_names(TFree(f,_),fs) = f ins_string fs
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1056
  | add_typ_tfree_names(TVar(_),fs) = fs;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1057
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15573
diff changeset
  1058
fun add_typ_tfrees(Type(_,Ts),fs) = foldr add_typ_tfrees fs Ts
16294
97c9f2c1de3d avoid polymorphic ins;
wenzelm
parents: 16108
diff changeset
  1059
  | add_typ_tfrees(TFree(f),fs) = insert (op =) f fs
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1060
  | add_typ_tfrees(TVar(_),fs) = fs;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1061
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15573
diff changeset
  1062
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
  1063
  | 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
  1064
  | 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
  1065
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1066
(*Accumulates the TVars in a term, suppressing duplicates. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1067
val add_term_tvars = it_term_types add_typ_tvars;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1068
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1069
(*Accumulates the TFrees in a term, suppressing duplicates. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1070
val add_term_tfrees = it_term_types add_typ_tfrees;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1071
val add_term_tfree_names = it_term_types add_typ_tfree_names;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1072
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1073
(*Non-list versions*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1074
fun typ_tfrees T = add_typ_tfrees(T,[]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1075
fun typ_tvars T = add_typ_tvars(T,[]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1076
fun term_tfrees t = add_term_tfrees(t,[]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1077
fun term_tvars t = add_term_tvars(t,[]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1078
949
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1079
(*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
  1080
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
  1081
fun add_typ_ixns(ixns,Type(_,Ts)) = Library.foldl add_typ_ixns (ixns,Ts)
20082
b0f5981b9267 removed obsolete ins_ix, mem_ix, ins_term, mem_term;
wenzelm
parents: 20001
diff changeset
  1082
  | add_typ_ixns(ixns,TVar(ixn,_)) = if member (op =) ixns ixn then ixns
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1083
                                     else ixns@[ixn]
949
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1084
  | add_typ_ixns(ixns,TFree(_)) = ixns;
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1085
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1086
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
  1087
  | 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
  1088
  | 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
  1089
  | add_term_tvar_ixns(Bound _,ixns) = ixns
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1090
  | add_term_tvar_ixns(Abs(_,T,t),ixns) =
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1091
      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
  1092
  | add_term_tvar_ixns(f$t,ixns) =
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1093
      add_term_tvar_ixns(t,add_term_tvar_ixns(f,ixns));
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 728
diff changeset
  1094
16537
954495db0f07 export sort_ord;
wenzelm
parents: 16338
diff changeset
  1095
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1096
(** Frees and Vars **)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1097
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1098
(*Accumulates the Vars in the term, suppressing duplicates*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1099
fun add_term_vars (t, vars: term list) = case t of
16990
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1100
    Var   _ => OrdList.insert term_ord t vars
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1101
  | Abs (_,_,body) => add_term_vars(body,vars)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1102
  | f$t =>  add_term_vars (f, add_term_vars(t, vars))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1103
  | _ => vars;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1104
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1105
fun term_vars t = add_term_vars(t,[]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1106
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1107
(*Accumulates the Frees in the term, suppressing duplicates*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1108
fun add_term_frees (t, frees: term list) = case t of
16990
7fceb965cf52 removed atless (use term_ord instead);
wenzelm
parents: 16943
diff changeset
  1109
    Free   _ => OrdList.insert term_ord t frees
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1110
  | Abs (_,_,body) => add_term_frees(body,frees)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1111
  | f$t =>  add_term_frees (f, add_term_frees(t, frees))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1112
  | _ => frees;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1113
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1114
fun term_frees t = add_term_frees(t,[]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1115
20199
3170fea83ae7 is_funtype: do not export internal operation;
wenzelm
parents: 20160
diff changeset
  1116
3170fea83ae7 is_funtype: do not export internal operation;
wenzelm
parents: 20160
diff changeset
  1117
(* dest abstraction *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1118
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1119
fun dest_abs (x, T, body) =
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1120
  let
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1121
    fun name_clash (Free (y, _)) = (x = y)
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1122
      | name_clash (t $ u) = name_clash t orelse name_clash u
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1123
      | name_clash (Abs (_, _, t)) = name_clash t
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1124
      | name_clash _ = false;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1125
  in
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1126
    if name_clash body then
20082
b0f5981b9267 removed obsolete ins_ix, mem_ix, ins_term, mem_term;
wenzelm
parents: 20001
diff changeset
  1127
      dest_abs (Name.variant [x] x, T, body)    (*potentially slow, but rarely happens*)
16678
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1128
    else (x, subst_bound (Free (x, T), body))
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1129
  end;
dcbdb1373d78 added fast_indexname_ord, fast_term_ord;
wenzelm
parents: 16667
diff changeset
  1130
20160
550e36c6a2d1 added variant_frees;
wenzelm
parents: 20148
diff changeset
  1131
550e36c6a2d1 added variant_frees;
wenzelm
parents: 20148
diff changeset
  1132
(* renaming variables *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1133
20239
620a3f297072 declare_term_names: cover types as well;
wenzelm
parents: 20199
diff changeset
  1134
fun declare_term_names tm =
620a3f297072 declare_term_names: cover types as well;
wenzelm
parents: 20199
diff changeset
  1135
  fold_aterms
620a3f297072 declare_term_names: cover types as well;
wenzelm
parents: 20199
diff changeset
  1136
    (fn Const (a, _) => Name.declare (NameSpace.base a)
620a3f297072 declare_term_names: cover types as well;
wenzelm
parents: 20199
diff changeset
  1137
      | Free (a, _) => Name.declare a
620a3f297072 declare_term_names: cover types as well;
wenzelm
parents: 20199
diff changeset
  1138
      | _ => I) tm #>
620a3f297072 declare_term_names: cover types as well;
wenzelm
parents: 20199
diff changeset
  1139
  fold_types (fold_atyps (fn TFree (a, _) => Name.declare a | _ => I)) tm;
620a3f297072 declare_term_names: cover types as well;
wenzelm
parents: 20199
diff changeset
  1140
20160
550e36c6a2d1 added variant_frees;
wenzelm
parents: 20148
diff changeset
  1141
fun variant_frees t frees =
550e36c6a2d1 added variant_frees;
wenzelm
parents: 20148
diff changeset
  1142
  fst (Name.variants (map fst frees) (declare_term_names t Name.context)) ~~ map snd frees;
550e36c6a2d1 added variant_frees;
wenzelm
parents: 20148
diff changeset
  1143
550e36c6a2d1 added variant_frees;
wenzelm
parents: 20148
diff changeset
  1144
fun rename_wrt_term t frees = rev (variant_frees t frees);  (*reversed result!*)
1364
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1029
diff changeset
  1145
1417
c0f6a1887518 Addition of compression, that is, sharing.
paulson
parents: 1391
diff changeset
  1146
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1147
(* dummy patterns *)
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1148
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1149
val dummy_patternN = "dummy_pattern";
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1150
18253
0626a0a217ec added dummy_pattern;
wenzelm
parents: 18183
diff changeset
  1151
fun dummy_pattern T = Const (dummy_patternN, T);
0626a0a217ec added dummy_pattern;
wenzelm
parents: 18183
diff changeset
  1152
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1153
fun is_dummy_pattern (Const ("dummy_pattern", _)) = true
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1154
  | is_dummy_pattern _ = false;
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1155
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1156
fun no_dummy_patterns tm =
16787
b6b6e2faaa41 (intermediate commit)
haftmann
parents: 16724
diff changeset
  1157
  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
  1158
  else raise TERM ("Illegal occurrence of '_' dummy pattern", [tm]);
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1159
11903
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1160
fun replace_dummy Ts (i, Const ("dummy_pattern", T)) =
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1161
      (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
  1162
  | replace_dummy Ts (i, Abs (x, T, t)) =
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1163
      let val (i', t') = replace_dummy (T :: Ts) (i, t)
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1164
      in (i', Abs (x, T, t')) end
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1165
  | replace_dummy Ts (i, t $ u) =
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1166
      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
  1167
      in (i'', t' $ u') end
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1168
  | replace_dummy _ (i, a) = (i, a);
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1169
938dd8bca661 replace_dummy_patterns: lift over bounds;
wenzelm
parents: 11353
diff changeset
  1170
val replace_dummy_patterns = replace_dummy [];
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1171
10552
a177b8571026 added is_replaced_dummy_pattern;
wenzelm
parents: 9721
diff changeset
  1172
fun is_replaced_dummy_pattern ("_dummy_", _) = true
a177b8571026 added is_replaced_dummy_pattern;
wenzelm
parents: 9721
diff changeset
  1173
  | is_replaced_dummy_pattern _ = false;
9536
b79b002f32ae added dummy_patternN, no_dummy_patterns, replace_dummy_patterns;
wenzelm
parents: 9319
diff changeset
  1174
16035
31bd65f7b22a added show_dummy_patterns;
wenzelm
parents: 15986
diff changeset
  1175
fun show_dummy_patterns (Var (("_dummy_", _), T)) = Const ("dummy_pattern", T)
31bd65f7b22a added show_dummy_patterns;
wenzelm
parents: 15986
diff changeset
  1176
  | show_dummy_patterns (t $ u) = show_dummy_patterns t $ show_dummy_patterns u
31bd65f7b22a added show_dummy_patterns;
wenzelm
parents: 15986
diff changeset
  1177
  | show_dummy_patterns (Abs (x, T, t)) = Abs (x, T, show_dummy_patterns t)
31bd65f7b22a added show_dummy_patterns;
wenzelm
parents: 15986
diff changeset
  1178
  | show_dummy_patterns a = a;
31bd65f7b22a added show_dummy_patterns;
wenzelm
parents: 15986
diff changeset
  1179
13484
d8f5d3391766 adhoc_freeze_vars;
wenzelm
parents: 13000
diff changeset
  1180
20100
c96cb48eef53 removed obsolete xless;
wenzelm
parents: 20082
diff changeset
  1181
(* display variables *)
c96cb48eef53 removed obsolete xless;
wenzelm
parents: 20082
diff changeset
  1182
15986
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1183
val show_question_marks = ref true;
15472
4674102737e9 Added show_var_qmarks flag.
berghofe
parents: 15025
diff changeset
  1184
14786
24a7bc97a27a moved some sort ops to sorts.ML; added string_of_vname (from Syntax module);
wenzelm
parents: 14695
diff changeset
  1185
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
  1186
  let
15986
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1187
    val question_mark = if ! show_question_marks then "?" else "";
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1188
    val idx = string_of_int i;
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1189
    val dot =
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1190
      (case rev (Symbol.explode x) of
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1191
        _ :: "\\<^isub>" :: _ => false
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1192
      | _ :: "\\<^isup>" :: _ => false
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1193
      | c :: _ => Symbol.is_digit c
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1194
      | _ => true);
14786
24a7bc97a27a moved some sort ops to sorts.ML; added string_of_vname (from Syntax module);
wenzelm
parents: 14695
diff changeset
  1195
  in
15986
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1196
    if dot then question_mark ^ x ^ "." ^ idx
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1197
    else if i <> 0 then question_mark ^ x ^ idx
db3cd4fa9b19 renamed show_var_qmarks to show_question_marks;
wenzelm
parents: 15962
diff changeset
  1198
    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
  1199
  end;
24a7bc97a27a moved some sort ops to sorts.ML; added string_of_vname (from Syntax module);
wenzelm
parents: 14695
diff changeset
  1200
24a7bc97a27a moved some sort ops to sorts.ML; added string_of_vname (from Syntax module);
wenzelm
parents: 14695
diff changeset
  1201
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
  1202
  | 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
  1203
1364
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1029
diff changeset
  1204
end;
8ea1a962ad72 files now define a structure to allow SML/NJ to optimize the code
clasohm
parents: 1029
diff changeset
  1205
4444
fa05a79b3e97 term order;
wenzelm
parents: 4286
diff changeset
  1206
structure BasicTerm: BASIC_TERM = Term;
fa05a79b3e97 term order;
wenzelm
parents: 4286
diff changeset
  1207
open BasicTerm;