What is linear bounded automaton with example?

A Turing machine that uses only the tape space occupied by the input is called a linear-bounded automaton (LBA). A linear bounded automaton is a nondeterministic Turing machine M = (Q,Σ,Γ, δ,s,t,r) such that: There are two special tape symbols < and >(the left end marker and right end marker).

Is Linear Bounded Automata more powerful than Turing machine?

Linear Bounded Automata : It is less powerful than a Turing machine but more powerful than push down automata.

Which grammar is accepted by linear bounded automata?

A context-sensitive grammar is linear-bounded if it is of order 2 and length-preserving and if, S being the initial symbol, S —+ EF implies E = S.

What is the difference between TM and LBA?

A linear bounded automata (LBA) is a TM whose head never moves off the portion of the tape occupied by the initial input string. That is, an LBA is a TM that uses only the tape space occupied by the input. A lot of interesting algorithms are LBAs, because they use only space proportional to the length of the input.

Which is an example of a linear bounded automata?

This version of the Turing machine can work only on the part of the tape where the input is/was. These automata are called linear bounded automata (LBA). Definition 36. Let LBA = ( Q, T, V, q0, ♯, δ, F) be a Turing machine, where δ : Q × { ♯ } → 2 Q× {♯}× {Left, Right, Stay}. Then LBA is a (nondeterministic) linear bounded automaton.

Is the linear bounded automaton always context sensitive?

A deterministic linear bounded automaton is always context-sensitive and the linear bounded automaton with empty language is undecidable..

When did Kuroda introduce the linear bounded automata?

In 1964, Kuroda introduced a replacement and a lot of general models specially for non-deterministic linear bounded automata, and established that the languages accepted by the non-deterministic linear bounded automata are exactly the context-sensitive languages. Turing Machine with a bounded finite length of the tape.

Which is a bounded version of the Turing machine?

In this section, we present a special, bounded version of the Turing machines, by which the class of context-sensitive languages can be characterized – as we already mentioned in Subsection. This version of the Turing machine can work only on the part of the tape where the input is/was. These automata are called linear bounded automata (LBA).