The present invention uses an IP over ATM that determines whether to connect using a database for LIS internal hosts provided in an ATMARP server in an LIS when a first host outside the LIS requests a connection to a second host in the LIS. A security problem solving method for a computer network, comprising: accepting a connection request from a first host by a second host; Sending, by the second host, an InATMARP_Request message to the first host, and in response to the first host, putting the IP address of the first host in the InATMARP_response message and transmitting it to the second host; The second host sends the IP address of the first host to an ATMARP_Request message and sends it to the ATMARP server. The ATMARP server uses an internal database to store the IP address and ATM address of the first host in this LIS. Searching for the presence of the first host, and sending the ATM address or NAK message of the first host to an ATMARP_response message to the second host; The second host includes the step of initiating communication when the ATM address of the first host is included in the ATMARP_response message transmitted from the ATMARP server, and releasing the connection when the NAK message is loaded.
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