Abstract

A subfamily LFT of the family CS of context-sensitive languages is investigated. Elements of LFT are called left transformation languages. Any context-sensitive language is represented in the form h(Li OLf) where Li, Z^eLFT, h is a length-preserv ing homomorphism, and I/f is the mirror image of Z/ 2. This fact implies that the LBAproblem is equivalent to the problem whether LFT can be accepted by deterministic linear bounded automata. It is remarkable that LFT is an intersection-closed AFL and the emptiness problem for LFT is effectively solvable. Also LFT is shown to have the quasi-prefix property, and we can see that LFT and the family CF of context-free languages are incomparable.

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