/usr/share/acl2-7.2dfsg/books/unicode/partition.lisp is in acl2-books-source 7.2dfsg-3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 | ; Processing Unicode Files with ACL2
; Copyright (C) 2005-2006 Kookamara LLC
;
; Contact:
;
; Kookamara LLC
; 11410 Windermere Meadows
; Austin, TX 78759, USA
; http://www.kookamara.com/
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; 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"),
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; 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:
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; The above copyright notice and this permission notice shall be included in
; all copies or substantial portions of the Software.
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; THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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; Original author: Jared Davis <jared@kookamara.com>
(in-package "ACL2")
(include-book "std/lists/flatten" :dir :system)
(include-book "sum-list")
(local (include-book "std/lists/take" :dir :system))
(local (include-book "z-listp"))
(local (include-book "arithmetic/top-with-meta" :dir :system))
(local (include-book "std/lists/nthcdr" :dir :system))
(defund partition (sizes x)
(declare (xargs :guard (and (nat-listp sizes)
(true-listp x))))
(if (consp sizes)
(cons (take (car sizes) x)
(partition (cdr sizes)
(nthcdr (car sizes) x)))
nil))
(defthm partition-when-not-consp
(implies (not (consp sizes))
(equal (partition sizes x)
nil))
:hints(("Goal" :in-theory (enable partition))))
(defthm partition-of-cons
(equal (partition (cons size sizes) x)
(cons (take size x)
(partition sizes (nthcdr size x))))
:hints(("Goal" :in-theory (enable partition))))
(defthm consp-of-partition-under-iff
(equal (consp (partition sizes x))
(if (partition sizes x)
t
nil))
:hints(("Goal" :in-theory (enable partition))))
(local (defthm sum-list-when-nat-listp-and-z-listp
(implies (and (nat-listp x)
(z-listp x))
(equal (sum-list x)
0))
:hints(("Goal" :induct (len x)))))
(local (defthm reassemble-lemma
(implies (<= (nfix n) (len x))
(equal (append (take n x)
(list-fix (nthcdr n x)))
(list-fix x)))))
(defthm flatten-of-partition
(implies (and (nat-listp sizes)
(equal (sum-list sizes) (len x)))
(equal (flatten (partition sizes x))
(list-fix x)))
:hints(("Goal" :in-theory (enable partition))))
(defthm len-of-car-of-partition
(equal (len (car (partition sizes x)))
(nfix (car sizes))))
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