UPF_Firewall/UPF_Firewall/Examples/DMZ/DMZDatatype.thy

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subsection \<open>DMZ Datatype\<close>
theory
DMZDatatype
imports
"../../UPF-Firewall"
begin
text\<open>
This is the fourth scenario, slightly more complicated than the previous one, as we now also
model specific servers within one network. Therefore, we could not use anymore the modelling
using datatype synonym, but only use the one where an address is modelled as an
integer (with ports).
Just for comparison, this theory is the same scenario with datatype synonym anyway, but with four
distinct networks instead of one contained in another. As there is no corresponding network model
included, we need to define a custom one.
\<close>
datatype Adr = Intranet | Internet | Mail | Web | DMZ
instance Adr::adr ..
type_synonym port = int
type_synonym Networks = "Adr \<times> port"
definition
intranet::"Networks net" where
"intranet = {{(a,b). a= Intranet}}"
definition
dmz :: "Networks net" where
"dmz = {{(a,b). a= DMZ}}"
definition
mail :: "Networks net" where
"mail = {{(a,b). a=Mail}}"
definition
web :: "Networks net" where
"web = {{(a,b). a=Web}}"
definition
internet :: "Networks net" where
"internet = {{(a,b). a= Internet}}"
definition
Intranet_mail_port :: "(Networks ,DummyContent) FWPolicy" where
"Intranet_mail_port = (allow_from_ports_to {21::port,14} intranet mail)"
definition
Intranet_Internet_port :: "(Networks,DummyContent) FWPolicy" where
"Intranet_Internet_port = allow_from_ports_to {80::port,90} intranet internet"
definition
Internet_web_port :: "(Networks,DummyContent) FWPolicy" where
"Internet_web_port = (allow_from_ports_to {80::port,90} internet web)"
definition
Internet_mail_port :: "(Networks,DummyContent) FWPolicy" where
"Internet_mail_port = (allow_all_from_port_to internet (21::port) dmz)"
definition
policyPort :: "(Networks, DummyContent) FWPolicy" where
"policyPort = deny_all ++
Intranet_Internet_port ++
Intranet_mail_port ++
Internet_mail_port ++
Internet_web_port"
text \<open>
We only want to create test cases which are sent between the three main networks: e.g. not
between the mailserver and the dmz. Therefore, the constraint looks as follows. \
\<close>
definition
not_in_same_net :: "(Networks,DummyContent) packet \<Rightarrow> bool" where
"not_in_same_net x = ((src x \<sqsubset> internet \<longrightarrow> \<not> dest x \<sqsubset> internet) \<and>
(src x \<sqsubset> intranet \<longrightarrow> \<not> dest x \<sqsubset> intranet) \<and>
(src x \<sqsubset> dmz \<longrightarrow> \<not> dest x \<sqsubset> dmz))"
lemmas PolicyLemmas = dmz_def internet_def intranet_def mail_def web_def
Internet_web_port_def Internet_mail_port_def
Intranet_Internet_port_def Intranet_mail_port_def
src_def dest_def src_port dest_port in_subnet_def
end