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6 votes
2 answers
200 views

Context-sensitive grammars without permutation rules

Permutation rules are called those which are of the form $AB\Rightarrow^*BA$1. It is also proven that permutation rules expand context-free grammars and allow them produce non-context-free languages. …
Andrey Lebedev's user avatar
2 votes

Examples of Context-sensitive grammars which produces non-indexed language

First of all I'm very appreciated to @HendrikJan for his example of noncontracting grammar (and his answer which I formally accept). Just to completely end this issue, as I was looking for "canonical" …
Andrey Lebedev's user avatar
2 votes
2 answers
2k views

Examples of Context-sensitive grammars which produces non-indexed language

Well known example of Context-sensitive grammar which produces language $\{a^nb^nc^n|n\geq 1\}$ is widely used in various papers. But actually, while this language is definitely context-sensitive, it …
Andrey Lebedev's user avatar
7 votes
1 answer
2k views

A push-down automaton with two stacks which is equivalent to a linear-bounded automaton

It is known that a PDA with two stacks is equivalent to a TM. On the other hand a PDA with one stack is capable to recognise only context-free languages. Hence there is a kind of a gap between the c …
Andrey Lebedev's user avatar