35 views

Does $LL(K)$ grammar has one to one correspondence with $DCFL$? [duplicate]

Does $LL(K)$ grammar has one to one correspondence with $DCFL$ ? If I am understanding right, then the given statement says that $2$ distinct $LL(k)$ have one to one mapping, i.e they should not ...
20 views

Is $LR(k) \subset SLR(k+1)$ for $k=1,2,…$? [duplicate]

I know that: Point 1: Set of languages accepted by $LR(0)$ parsers $\subset$ Set of languages accepted by $SLR(1)$ parsers Does this logic hold for higher $k$'s? That is, does following fact hold?...
11k views

Left-Factoring a grammar into LL(1)

I have a homework assignment where I need to convert a grammar into LL(1). I've already removed the left recursion, but I'm having trouble doing left-factoring. All of the examples I've found are ...
930 views

Correct name for a recursive descent parser that uses loops to handle left recursion?

This grammar is left recursive: ...
2k views

Is this language LL(1) parseable?

I tried to find a simple example for a language that is not parseable with an LL(1) parser. I finally found this language. $$L=\{a^nb^m|n,m\in\mathbb N\land n\ge m\}$$ Is my hypothesis true or is ...
123 views

Is the set of LL(*) grammars the same as the set of CFG grammars?

Is the set of LL(*) grammars the same as the set of context-free grammars?
520 views

Are LR(k) languages and DCFLs equivalent?

In the familiar book of Theory of Computation by M. Sipser, the author proved that for endmarked context-free languages, the set of languages having a LR(k) grammar for a predefined $k \in \mathbb{N}$ ...
932 views

If a parser can parse a non-deterministic grammar, is the parser non-deterministic?

I've written a recursive-descent parser generator, and I'm trying to classify it (call me a cowboy coder if you must). According to wikipedia, S → 0S0 | 1S1 | ε, ...
780 views

Show that any LL(k) grammar is unambiguous

I am confused on several areas of this. First, this is so obvious I am finding it hard to prove. Second, what are some definitions, axioms, or lemmas of an ll(k) grammar that I can use to build up a ...