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"As Myhill points out, the definition of a linear bounded automaton was motivated by an observation made by Rabin and Scott about two- way finite automata with erasing. As to your quote I have to repeat it without removed parts to allow more objective interpretation. 53, book "Concise encyclopedia of computer science". (A deterministic LBA is logically equivalent to an ordinary stored-program computer with finite memory.)" – p. "A form of deterministic LBA was first studied by Myhill in an attempt to find models of computation more realistic than the completely general Turing machines. The abstraction is consistent with this example in that the input medium also serves as a storage medium since it can be written to as well as read." – Section LBA, from the book "Formal models of computation: the ultimate limits of computing". ".For instance, the model (LBA) applies to a personal computer where the input is supplied on a floppy disk. Model) computers, we must restrict the storage capacity of Turing machines."į.D.Lewis is a professor worked in computer science area. Thus any actual computation done on a computer is not as extensiveĪs that which could be completed on a Turing machine. They do not have unending amounts of storage like Turing Here is the motivation for the design of this class of machines.
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They haveīecome important in the theory of computation even though they have notĮmerged in applications to the extent which pushdown automata enjoy. "Linear bounded automata were originally developed as models forĪctual computers rather than models for the computational process. This places in doubt the following quote from the notes of F.
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Recursive undecidability is, of course, a topic in computability theory. The observation was that the equivalence problem for these automata is recursively undecidable." As Myhill points out, the definition of a linear bounded automaton was motivated by an observation made by Rabin and Scott about two-way finite automata with erasing.
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"Linear bounded automata were first defined and investigated by John Myhill in 1960. 7, Providence, RI: American Mathematical Society, 1974, R. Hunt, III, p.2, in "Complexity of Computation", SIAM-AMS Proceedings, Vol. From "The LBA Problem And Its Importance In The Theory of Computation", by J.
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