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; FTY base list types
; Copyright (C) 2016 Kookamara LLC
;
; Contact:
;
; Kookamara LLC
; 11410 Windermere Meadows
; Austin, TX 78759, USA
; http://www.kookamara.com/
;
; License: (An MIT/X11-style license)
;
; Permission is hereby granted, free of charge, to any person obtaining a
; copy of this software and associated documentation files (the "Software"),
; to deal in the Software without restriction, including without limitation
; the rights to use, copy, modify, merge, publish, distribute, sublicense,
; and/or sell copies of the Software, and to permit persons to whom the
; Software is furnished to do so, subject to the following conditions:
;
; The above copyright notice and this permission notice shall be included in
; all copies or substantial portions of the Software.
;
; THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
; IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
; FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
; AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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;
; Original author: Jared Davis <jared@kookamara.com>
(in-package "ACL2")
(include-book "deftypes")
(include-book "basetypes")
(include-book "std/strings/eqv" :dir :system)
(defxdoc fty::baselists
:parents (fty::fty)
:short "A book that associates various built-in ACL2 list recognizers with
suitable fixing functions and equivalence relations, for use in the @(see
fty::fty-discipline)."
:long "<p>This is similar in spirit to the @(see fty::basetypes) book: it
arranges so that various list recognizers like @(see integer-listp), @(see
boolean-listp), etc., can be directly used with FTY.</p>
<p>Special note: even though @(see character-listp) and @(see string-listp)
aren't listed below, you will still be able to use them with FTY after
including the @('baselists') book. For historical reasons these types are
defined in a special way in the @(see std/strings) library, see in particular
@(see str::equivalences).</p>")
(local (xdoc::set-default-parents fty::baselists))
;; BOZO think about adding other lists that are covered by, e.g.,
;; std/typed-lists, such as:
;; atom-listp
;; cons-listp
;; eqlable-listp
;; pseudo-term-listp
;; signed-byte-listp
;; unsigned-byte-listp
(fty::deflist acl2-number-list
:elt-type acl2-number
:pred acl2-number-listp
:true-listp t
:elementp-of-nil nil)
(fty::deflist boolean-list
:elt-type bool
:pred boolean-listp
:true-listp t
:elementp-of-nil t)
;; character-listp is handled specially in std/strings/eqv.
(fty::deflist integer-list
:elt-type int
:pred integer-listp
:true-listp t
:elementp-of-nil nil)
(fty::deflist nat-list
:elt-type nat
:pred nat-listp
:true-listp t
:elementp-of-nil nil)
(fty::deflist rational-list
:elt-type rational
:pred rational-listp
:true-listp t
:elementp-of-nil nil)
(fty::deflist symbol-list
:elt-type symbol
:pred symbol-listp
:true-listp t
:elementp-of-nil t)
(fty::deffixtype true-list :pred true-listp :fix list-fix :equiv list-equiv :forward t)
(fty::deflist true-list-list
:elt-type true-list
:true-listp t
:pred true-list-listp
:elementp-of-nil t)
(defrefinement
list-equiv true-list-list-equiv
:hints
(("goal"
:induct (fast-list-equiv x y)
:in-theory (enable fast-list-equiv true-list-list-fix))))
;; string-listp is handled specially in std/strings/eqv.
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