That supports different states, reacting to the same input differently depending on the current state.(adjective)
Full of state; stately.(adjective)
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Use "stateful" in a sentence
"CheckPoint is a pioneer in stateful inspection firewalls and, like Avaya and unified communications, is focused solely on the security business with products dedicated to firewalling, VPNs, unified threat management and intrusion prevention."
""We have a technology that we refer to as stateful assessment technology," Ewe said."
"Cyberoam UTM delivers the complete range of security features such as stateful inspection firewall, VPN, gateway anti-virus, gateway anti-malware, gateway anti-spam, intrusion prevention system, content filtering in addition to bandwidth management and multiple link management over a single platform."