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A linear bounded automaton (LBA) is an abstract machine that would be identical to a Turing machine, except that during a computation with given input its tape-head is not allowed to move outside a bounded region of its infinite tape, the number of accessible tape-cells being a linear function of the input-size. The tape itself has infinite length in order to accomodate inputs of arbitrary length. A linear bounded automaton is a nondeterministic Turing machine that satisfies the following three conditions: Its input alphabet includes two special symbols, serving as left and right endmarkers. Its transitions may not print other symbols over the endmarkers. Linear Bounded Automata(LBA) We cannot increase power of Turing Machine by providing some options like 'STAY', '2 Read/Write Head' etc. But we can restrict power of Turing Machine in following ways: If we use TAPE as STACK then it will be 'PDA'. If we make TAPE finite then it will be 'Finite Automata'. A linear bounded automaton, or LBA for short, is a restricted form of a non-deterministic Turing machine with a single tape and a single tape head, such that, given an input word on the tape, the tape head can only scan and rewrite symbols on the cells occupied by the initial input word. Linear bounded automaton. A linear bounded automaton is a multi-track non-deterministic Turing machine with a tape of some bounded finite length. Length = function (Length of the initial input string, constant c) Here, Memory information ≤ c × Input information. The computation is restricted to the constant bounded area.
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