Define the concept of a linear-bounded automaton with two tapes.

Define the concept of a linear-bounded automaton with two tapes.

A linear-bounded automaton with two tapes is a theoretical model of computation that consists of a finite control, an input tape, and a work tape. It is similar to a Turing machine, but with the restriction that the input tape and work tape have a limited amount of space, which is proportional to the size of the input. The input tape contains the input string, and the work tape is used for intermediate calculations and storage. The automaton can read and write symbols on both tapes, and its behavior is determined by the current state and the symbols it reads. The transition function specifies the next state and the symbols to be written on the tapes based on the current state and the symbols read. The automaton halts when it reaches a designated final state.