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Home/ Questions/Q 8081505
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Editorial Team
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Editorial Team
Asked: June 5, 20262026-06-05T16:44:51+00:00 2026-06-05T16:44:51+00:00

I know that a bottom-up parser is better than a top-down parser because it

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I know that a bottom-up parser is better than a top-down parser because it can accept left-recursive grammar, what can be other reasons that we prefer bottom-up parsing over top-down parsing?

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  1. Editorial Team
    Editorial Team
    2026-06-05T16:44:53+00:00Added an answer on June 5, 2026 at 4:44 pm

    Theoretically speaking, the LL(k) grammars are always strict subsets of the LR(k) grammars for any k, so deterministic predictive bottom-up parsers can accept a strictly greater set of grammars than than deterministic predictive top-down parsers. This also means that any LL(k) grammar is also LR(k).

    Also, a tricky proof shows that any deterministic CFL (a CFL accepted by a deterministic push down automaton) has an LR(1) grammar, which means that LR grammars correspond precisely to those languages that have efficient stack-based parsing algorithms.

    That said, if you allow for more general parsing algorithms like Unger’s algorithm, Earley’s algorithm, or the CYK algorithm, then top-down and bottom-up methods exist for parsing arbitrary CFGs. These algorithms can be much slower than the predictive methods, though, so they typically aren’t used for programming languages.

    Hope this helps!

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