184 lines
9.3 KiB
Plaintext
184 lines
9.3 KiB
Plaintext
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(*****************************************************************************
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* Copyright (c) 2005-2010 ETH Zurich, Switzerland
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* 2008-2015 Achim D. Brucker, Germany
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* 2009-2016 Université Paris-Sud, France
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* 2015-2016 The University of Sheffield, UK
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*
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions are
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* met:
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*
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* * Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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*
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* * Redistributions in binary form must reproduce the above
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* copyright notice, this list of conditions and the following
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* disclaimer in the documentation and/or other materials provided
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* with the distribution.
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*
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* * Neither the name of the copyright holders nor the names of its
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* contributors may be used to endorse or promote products derived
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* from this software without specific prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*****************************************************************************)
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subsection {* Policy Combinators with Ports *}
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theory PortCombinators
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imports PolicyCombinators
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begin
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text{*
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This theory defines policy combinators for those network models which
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have ports. They are provided in addition to the the ones defined in the
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PolicyCombinators theory.
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This theory requires from the network models a definition for the two following constants:
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\begin{itemize}
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\item $src\_port :: ('\alpha,'\beta) packet \Rightarrow ('\gamma::port)$
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\item $dest\_port :: ('\alpha,'\beta) packet \Rightarrow ('\gamma::port)$
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\end{itemize}
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*}
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definition
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allow_all_from_port :: "'\<alpha>::adr net \<Rightarrow> ('\<gamma>::port) \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
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"allow_all_from_port src_net s_port =
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{pa. src_port pa = s_port} \<triangleleft> allow_all_from src_net"
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definition
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deny_all_from_port :: "'\<alpha>::adr net \<Rightarrow> '\<gamma>::port \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
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"deny_all_from_port src_net s_port =
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{pa. src_port pa = s_port} \<triangleleft> deny_all_from src_net "
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definition
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allow_all_to_port :: "'\<alpha>::adr net \<Rightarrow> '\<gamma>::port \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
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"allow_all_to_port dest_net d_port =
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{pa. dest_port pa = d_port} \<triangleleft> allow_all_to dest_net"
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definition
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deny_all_to_port :: "'\<alpha>::adr net \<Rightarrow> '\<gamma>::port \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
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"deny_all_to_port dest_net d_port =
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{pa. dest_port pa = d_port} \<triangleleft> deny_all_to dest_net"
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definition
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allow_all_from_port_to:: "'\<alpha>::adr net \<Rightarrow> '\<gamma>::port \<Rightarrow> '\<alpha>::adr net \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)"
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where
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"allow_all_from_port_to src_net s_port dest_net
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= {pa. src_port pa = s_port} \<triangleleft> allow_all_from_to src_net dest_net"
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definition
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deny_all_from_port_to::"'\<alpha>::adr net \<Rightarrow> '\<gamma>::port \<Rightarrow> '\<alpha>::adr net \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)"
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where
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"deny_all_from_port_to src_net s_port dest_net
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= {pa. src_port pa = s_port} \<triangleleft> deny_all_from_to src_net dest_net "
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definition
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allow_all_from_port_to_port::"'\<alpha>::adr net \<Rightarrow> '\<gamma>::port \<Rightarrow> '\<alpha>::adr net \<Rightarrow> '\<gamma>::port \<Rightarrow>
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(('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
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"allow_all_from_port_to_port src_net s_port dest_net d_port =
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{pa. dest_port pa = d_port} \<triangleleft> allow_all_from_port_to src_net s_port dest_net"
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definition
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deny_all_from_port_to_port :: "'\<alpha>::adr net \<Rightarrow> '\<gamma>::port \<Rightarrow> '\<alpha>::adr net \<Rightarrow>
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'\<gamma>::port \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
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"deny_all_from_port_to_port src_net s_port dest_net d_port =
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{pa. dest_port pa = d_port} \<triangleleft> deny_all_from_port_to src_net s_port dest_net"
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definition
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allow_all_from_to_port :: "'\<alpha>::adr net \<Rightarrow> '\<alpha>::adr net \<Rightarrow>
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'\<gamma>::port \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
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"allow_all_from_to_port src_net dest_net d_port =
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{pa. dest_port pa = d_port} \<triangleleft> allow_all_from_to src_net dest_net"
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definition
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deny_all_from_to_port :: "'\<alpha>::adr net \<Rightarrow> '\<alpha>::adr net \<Rightarrow> '\<gamma>::port \<Rightarrow>
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(('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
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"deny_all_from_to_port src_net dest_net d_port = {pa. dest_port pa = d_port} \<triangleleft> deny_all_from_to src_net dest_net"
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definition
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allow_from_port_to :: "'\<gamma>::port \<Rightarrow> '\<alpha>::adr net \<Rightarrow> '\<alpha>::adr net \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)"
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where
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"allow_from_port_to port src_net dest_net =
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{pa. src_port pa = port} \<triangleleft> allow_all_from_to src_net dest_net"
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definition
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deny_from_port_to :: "'\<gamma>::port \<Rightarrow> '\<alpha>::adr net \<Rightarrow> '\<alpha>::adr net \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)"
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where
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"deny_from_port_to port src_net dest_net =
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{pa. src_port pa = port} \<triangleleft> deny_all_from_to src_net dest_net"
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definition
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allow_from_to_port :: "'\<gamma>::port \<Rightarrow> '\<alpha>::adr net \<Rightarrow> '\<alpha>::adr net \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)"
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where
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"allow_from_to_port port src_net dest_net =
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{pa. dest_port pa = port} \<triangleleft> allow_all_from_to src_net dest_net"
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definition
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deny_from_to_port :: "'\<gamma>::port \<Rightarrow> '\<alpha>::adr net \<Rightarrow> '\<alpha>::adr net \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)"
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where
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"deny_from_to_port port src_net dest_net =
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{pa. dest_port pa = port} \<triangleleft> deny_all_from_to src_net dest_net"
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definition
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allow_from_ports_to :: "'\<gamma>::port set \<Rightarrow> '\<alpha>::adr net \<Rightarrow> '\<alpha>::adr net \<Rightarrow>
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(('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
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"allow_from_ports_to ports src_net dest_net =
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{pa. src_port pa \<in> ports} \<triangleleft> allow_all_from_to src_net dest_net"
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definition
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allow_from_to_ports :: "'\<gamma>::port set \<Rightarrow> '\<alpha>::adr net \<Rightarrow> '\<alpha>::adr net \<Rightarrow>
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(('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
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"allow_from_to_ports ports src_net dest_net =
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{pa. dest_port pa \<in> ports} \<triangleleft> allow_all_from_to src_net dest_net"
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definition
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deny_from_ports_to :: "'\<gamma>::port set \<Rightarrow> '\<alpha>::adr net \<Rightarrow> '\<alpha>::adr net \<Rightarrow>
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(('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
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"deny_from_ports_to ports src_net dest_net =
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{pa. src_port pa \<in> ports} \<triangleleft> deny_all_from_to src_net dest_net"
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definition
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deny_from_to_ports :: "'\<gamma>::port set \<Rightarrow> '\<alpha>::adr net \<Rightarrow> '\<alpha>::adr net \<Rightarrow>
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(('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
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"deny_from_to_ports ports src_net dest_net =
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{pa. dest_port pa \<in> ports} \<triangleleft> deny_all_from_to src_net dest_net"
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definition
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allow_all_from_port_tos:: "'\<alpha>::adr net \<Rightarrow> ('\<gamma>::port) set \<Rightarrow> '\<alpha>::adr net \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)"
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where
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"allow_all_from_port_tos src_net s_port dest_net
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= {pa. dest_port pa \<in> s_port} \<triangleleft> allow_all_from_to src_net dest_net"
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text{*
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As before, we put all the rules into one lemma called PortCombinators to ease writing later.
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*}
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lemmas PortCombinatorsCore =
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allow_all_from_port_def deny_all_from_port_def allow_all_to_port_def
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deny_all_to_port_def allow_all_from_to_port_def
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deny_all_from_to_port_def
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allow_from_ports_to_def allow_from_to_ports_def
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deny_from_ports_to_def deny_from_to_ports_def
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allow_all_from_port_to_def deny_all_from_port_to_def
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allow_from_port_to_def allow_from_to_port_def deny_from_to_port_def
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deny_from_port_to_def allow_all_from_port_tos_def
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lemmas PortCombinators =
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PortCombinatorsCore PolicyCombinators
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end
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