The Inclusion Problem for Some Subclasses of Context-Free Languages


Asveld, Peter R.J. and Nijholt, Anton (1997) The Inclusion Problem for Some Subclasses of Context-Free Languages. [Report]

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Abstract:By a reduction to Post's Correspondence Problem we provide a direct proof of the known fact that the inclusion problem for unambiguous context-free grammars is undecidable. The argument or some straightforward modification also applies to some other subclasses of context-free languages such as linear languages, sequential languages, and DSC-languages (i.e., languages generated by context-free grammars with disjunct syntactic categories). We also consider instances of the problem "Is $L(D_1 )\subseteq L(D_2 )^$ ?"where $D_1$ and $D_2$ are taken from possibly different descriptor families of subclasses of context-free languages.
Item Type:Report
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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