UPF_Firewall/UPF_Firewall/PacketFilter/PolicyCombinators.thy

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subsection \<open>Policy Combinators\<close>
theory
PolicyCombinators
imports
PolicyCore
begin
text\<open>In order to ease the specification of a concrete policy, we
define some combinators. Using these combinators, the specification
of a policy gets very easy, and can be done similarly as in tools
like IPTables.\<close>
definition
allow_all_from :: "'\<alpha>::adr net \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
"allow_all_from src_net = {pa. src pa \<sqsubset> src_net} \<triangleleft> A\<^sub>U "
definition
deny_all_from :: "'\<alpha>::adr net \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
"deny_all_from src_net = {pa. src pa \<sqsubset> src_net} \<triangleleft>D\<^sub>U "
definition
allow_all_to :: "'\<alpha>::adr net \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
"allow_all_to dest_net = {pa. dest pa \<sqsubset> dest_net} \<triangleleft> A\<^sub>U"
definition
deny_all_to :: "'\<alpha>::adr net \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
"deny_all_to dest_net = {pa. dest pa \<sqsubset> dest_net} \<triangleleft>D\<^sub>U "
definition
allow_all_from_to :: "'\<alpha>::adr net \<Rightarrow> '\<alpha>::adr net \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
"allow_all_from_to src_net dest_net =
{pa. src pa \<sqsubset> src_net \<and> dest pa \<sqsubset> dest_net} \<triangleleft> A\<^sub>U "
definition
deny_all_from_to :: "'\<alpha>::adr net \<Rightarrow> '\<alpha>::adr net \<Rightarrow> (('\<alpha>,'\<beta>) packet \<mapsto> unit)" where
"deny_all_from_to src_net dest_net = {pa. src pa \<sqsubset> src_net \<and> dest pa \<sqsubset> dest_net} \<triangleleft> D\<^sub>U"
text\<open>All these combinators and the default rules are put into one
single lemma called \<open>PolicyCombinators\<close> to facilitate proving
over policies.\<close>
lemmas PolicyCombinators = allow_all_from_def deny_all_from_def
allow_all_to_def deny_all_to_def allow_all_from_to_def
deny_all_from_to_def UPFDefs
end