Theory PersonalFirewallIpv4

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subsection ‹Personal Firewall IPv4›
theory 
  PersonalFirewallIpv4
  imports 
    "../../UPF-Firewall"
begin
  
text‹
  The most basic firewall scenario; there is a personal PC on one side and the Internet on the 
  other. There are two policies: the first one allows all traffic from the PC to the Internet and 
  denies all coming into the PC. The second policy only allows specific ports from the PC. This 
  scenario comes in three variants: the first one specifies the allowed protocols directly, the 
  second together with their respective port numbers, the third one only with the port numbers.
›
  
text‹
  Definitions of the subnets 
›
  
definition 
  PC :: "(ipv4 net)" where
  "PC = {{((a,b,c,d),e). a = 1  b = 3  c = 5  d = 2}}"
  
definition
  Internet :: "ipv4 net" where
  "Internet = {{((a,b,c,d),e). ¬ (a = 1  b = 3  c = 5  d = 2)}}"
  
definition
  not_in_same_net :: "(ipv4,DummyContent) packet  bool" where
  "not_in_same_net x = ((src x  PC  dest x  Internet)  (src x  Internet  dest x  PC))" 
  
text ‹
  Definitions of the policies 
›
definition
  strictPolicy :: "(ipv4,DummyContent) FWPolicy" where
  "strictPolicy = deny_all ++ allow_all_from_to PC Internet"
  
definition
  PortPolicy :: "(ipv4,DummyContent) FWPolicy" where
  "PortPolicy = deny_all ++ allow_from_ports_to {80::port,24,21} PC Internet"
  
definition
  PortPolicyBig :: "(ipv4,DummyContent) FWPolicy" where
  "PortPolicyBig = deny_all ++ allow_from_port_to (80::port) PC Internet++ allow_from_port_to (24::port) PC Internet++ allow_from_port_to (21::port) PC Internet"
  
lemmas policyLemmas = strictPolicy_def PortPolicy_def PC_def
  Internet_def PortPolicyBig_def src_def dest_def
  IPv4.src_port
  IPv4.dest_port PolicyCombinators
  PortCombinators in_subnet_def PortPolicyBig_def
  
end