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I am currently working on the usage of pumping lemma and I need to know why do we use pumping lemma? the main question asked is why?
I know we can prove the non-regularity and I know the formula/proof as well, I'd just like to ask why?
We use the Pumping Lemma IFF we can use it, because in those cases where we can use it, it provides much shorter and simpler proofs than other alternative proof methods.
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Better alternative for Etcher to burn iso?
Can you recommend something because Etcher let me down for the first time, so I'm looking for a reliable alternative.
I recommend UltraISO, it always works great.
This is a complex program that has many additional functions.
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If I want to write proofs and algorithms/semantics using Coq on a Haskell program. How can I translate from Haskell to Coq to do this?
It seems that there are tools to translate OCaml programs. But how about Haskell?
The main issue I see in such a translation is that Haskell programs (as well as Ocaml ones) can perform any kind of recursion algorithm, and might contain loops.
In Coq, there is no build-in notion of loops, and any recursive function has to terminate, and be explicit why it terminates.
To the best of my knowledge, there is no such tool at the moment.
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Is there an Erlang library equivalent to Parsec or attoparsec (Written with Haskell) ?
Yes, there is, written in Erlang.
It's called Parsec Erlang.
More Parsec clones in other languages can be found here.
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I'm looking for a way to derive fmapFirst and fmapSecond for bifunctors automatically. I would prefer a way to do it using the new Generic type class or using Data.Data, and without Template Haskell.
(Note that I already know that https://hackage.haskell.org/package/genifunctors-0.2.2.0/docs/Data-Generics-Genifunctors.html supports this with use of Template Haskell, I wish to know if Template Haskell can be avoided here)
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I know M is a new language from Microsoft that's targeted as a modeling solution but I'm still a bit fuzzy on usage / rationale / advantages. That's why I'm looking for interesting things that people have done with M, so I can understand it better.
Well it's new, as you said, so you'll have a hard time finding thing already done. Your best bet would probably be to see how Microsoft itself uses the language.