Thanks for the explanation. Yes, makes sense from the perspective of
analysis.

But as someone using context-free grammar parsers for practical problem, I
need to be concerned at what the guy on the street sees, independent of how
messy it might make things for the theorist or analyst.

Recall that I am  adapting conventional compiler technology for a slightly
different use. By doing this I hope to capture a more rigor than I have
seen in some (perhaps most) decompilers. One of the weird things in this
Alice through the looking-glass world is that instead of *designing* a
language and checking that input string are valid, we *start *from a set of
strings that are known to be valid and then need to design a grammar that
*covers* that.

And it is okay if the designed language covers too much - it is okay to
allow the grammar to recognize or accept strings that never be input.


So In the upside-down world, context free ambiguous grammars simplify
finding a covering set. But... we need to pay attention to exponential
derivations in designing the grammar. To a large extend, I think various
grammar-design rules go a long way to reducing the possibility of
exponential run-time (and space).

On Sun, Nov 12, 2017 at 8:45 PM, Jeffrey Kegler <
[email protected]> wrote:

> With respect to time complexity, the question is that the parse time is
>> 2.4 or cubic with respect to exactly what?
>
>
> The tradition is to measure time with respect to n, which n is the length
> of the input in characters of some alphabet, and the time only includes
> parsing time, not evaluation time.  This is how Earley's algorithm can be
> cubic, when the number of parses can be super-exponential, and so simply
> listing every parse would be far worse than cubic.  The idea here is that
> you don't know how complex or simple an evaluation the applications wants,
> so it would confuse things to include evaluation time.  It's possible, for
> example, that parsing is simply recognition -- all you want is a "yes" or
> "no" as to whether the input matches the grammar.
>
> Again, best of luck, jeffrey
>
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