Overflow of syslog and daemon.log

I am using an AMD64 Debian Buster 10.1 Linux and i realised that syslog and daemon.log are overflowing sometimes filling the var directory completely and breaking the whole system like that. I think that such overflow are caused mainly by single applications going out of rails or even hackers, who are performing buffer overflow attacks like that forcing the users to delete their log directory or simple wanting to cause overflow and make the system inoperable (which is actually happening on occasion of an overflow of the /var/log/ directory). Isn't that a security problem of the kernel and should it not be closed by implementing a proper monitoring on the applications writing into syslog and daemon.log?