Description
The notion of the DCFL is closely related to the deterministic pushdown automaton (DPDA). It is where the language power of a pushdown automaton is reduced if we make it deterministic; the pushdown automaton becomes unable to choose between different state transision alternatives and as a consequence cannot recognize all context-free languages. Unambiguous grammars do not always generate a DCFL. For example, the language of even-length palindromes on the alphabet of 0 and 1 has the unambiguous context-free grammar S → 0S0 | 1S1 | ε. An arbitrary string of this language cannot be parsed without reading all its letters first which means that a pushdown automaton has to try alternative state transisions to accommodate for the different possible lengths of a semi-parsed string.
Read more about this topic: Deterministic Context-free Language
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—Horace Walpole (1717–1797)