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Let us review the specification of the algorithm. In each round, all nodes exchange their distance vectors with their respective neighbors. Then all nodes update their distance vectors. In between two rounds, any change in cost of a link will cause the two incident nodes to change only that entry in their distance vectors. Right after the cost of link ...

Your statement "Integer x;" is syntactically "identifier identifier;" which is a perfectly fine variable declaration. Semantically, the first identifier must be defined as a type, and the second identifier must not be defined as a variable in the same scope. The first condition fails, therefore ... And you might download a copy of the C ...

I would approach this question in this way, (k) in $\mathrm{LL}(k)$ means the number of lookaheads. The grammar of $\mathrm{L}$ here possess non-determinism. For example, if you can only see aaaa then by just looking at the first k symbols, you can't make the decision whether it is aaaa or aaaabbbb. No matter how large the value of k is, there will always be ...

Rosenkrantz and Stearns prove in their paper Properties of deterministic top-down grammars that the language $$ \{ a^n b^n : n \ge 0 \} \cup \{ a^n c^n : n \ge 0 \} $$ is not $\mathrm{LL}(k)$ for any $k$ (see page 246). Presumably a similar proof will show that your language is not $\mathrm{LL}(k)$ for any $k$. You mention a confusion between grammars and ...

In ANSI C syntax, as you say, there is no such construct as Integer, but only int. So your compiler should highlight a Syntax Error. The grammar would be something as: keyword = int | void | return | ... expression = keyword id Since expression won't match any keyword, the compiler stops at syntactic level.