84 lines
3.1 KiB
Plaintext
84 lines
3.1 KiB
Plaintext
(******************************************************************************
|
|
* Citadelle
|
|
*
|
|
* Copyright (c) 2011-2018 Université Paris-Saclay, Univ. Paris-Sud, France
|
|
* 2013-2017 IRT SystemX, France
|
|
* 2011-2015 Achim D. Brucker, Germany
|
|
* 2016-2018 The University of Sheffield, UK
|
|
* 2016-2017 Nanyang Technological University, Singapore
|
|
* 2017-2018 Virginia Tech, USA
|
|
*
|
|
* All rights reserved.
|
|
*
|
|
* Redistribution and use in source and binary forms, with or without
|
|
* modification, are permitted provided that the following conditions are
|
|
* met:
|
|
*
|
|
* * Redistributions of source code must retain the above copyright
|
|
* notice, this list of conditions and the following disclaimer.
|
|
*
|
|
* * Redistributions in binary form must reproduce the above
|
|
* copyright notice, this list of conditions and the following
|
|
* disclaimer in the documentation and/or other materials provided
|
|
* with the distribution.
|
|
*
|
|
* * Neither the name of the copyright holders nor the names of its
|
|
* contributors may be used to endorse or promote products derived
|
|
* from this software without specific prior written permission.
|
|
*
|
|
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
|
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
|
|
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
|
|
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
|
|
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
|
|
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
|
|
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
|
|
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
|
|
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
|
|
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
|
|
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
|
******************************************************************************)
|
|
|
|
section\<open>Basic Extension of the Standard Library (Depending on RBT)\<close>
|
|
|
|
theory Init_rbt
|
|
imports "../../Init"
|
|
"HOL-Library.RBT"
|
|
"HOL-Library.Char_ord"
|
|
"HOL-Library.List_Lexorder"
|
|
"HOL-Library.Product_Lexorder"
|
|
begin
|
|
|
|
locale RBT
|
|
begin
|
|
definition "modify_def v k f rbt =
|
|
(case RBT.lookup rbt k of None \<Rightarrow> RBT.insert k (f v) rbt
|
|
| Some _ \<Rightarrow> RBT.map_entry k f rbt)"
|
|
definition "lookup2 rbt = (\<lambda>(x1, x2). Option.bind (RBT.lookup rbt x1) (\<lambda>rbt. RBT.lookup rbt x2))"
|
|
definition "insert2 = (\<lambda>(x1, x2) v. RBT.modify_def RBT.empty x1 (RBT.insert x2 v))"
|
|
end
|
|
lemmas [code] =
|
|
(*def*)
|
|
RBT.modify_def_def
|
|
RBT.lookup2_def
|
|
RBT.insert2_def
|
|
|
|
context L
|
|
begin
|
|
definition "unique f l = List.map_filter id (fst
|
|
(mapM
|
|
(\<lambda> (cpt, v) rbt.
|
|
let f_cpt = f cpt in
|
|
if RBT.lookup rbt f_cpt = None then
|
|
(Some (cpt, v), RBT.insert f_cpt () rbt)
|
|
else
|
|
(None, rbt))
|
|
l
|
|
RBT.empty))"
|
|
end
|
|
lemmas [code] =
|
|
(*def*)
|
|
L.unique_def
|
|
|
|
end
|