Which of following grammars are unambiguous? (A) S →(S) S|[S] S| ε(B) S →S(S) S |ε(C) S →a S|S a

step 1 Which of the following grammars are unambiguous? Well, the given grammar in choice A, for exampl

Which of following grammars are unambiguous? (A) S →(S)...

Which of following grammars are unambiguous?
(A) $S \rightarrow(S) S|[S] S| \varepsilon$
(B) $S \rightarrow S(S) S \mid \varepsilon$
(C) $S \rightarrow a S|S a| a$
(D) $S \rightarrow a|S a| b S S|S s b| S b S$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Context-Free Grammar

A context-free grammar (CFG) is a set of recursive rewriting rules used to generate patterns of strings. It is central to the theory of formal languages and is used to define programming languages and natural languages. The study of CFGs involves understanding how production rules can generate complex structures from simple elements.

Ambiguity in Grammars

Ambiguity in grammars occurs when a single string generated by the grammar can have more than one distinct parse tree or derivation. This concept is important because ambiguous grammars can lead to multiple interpretations, complicating the processes of parsing and semantic analysis in compilers and interpreters.

Parse Trees

Parse trees, also known as derivation trees, visually represent the hierarchical structure of the strings derived from a grammar. They play a critical role in illustrating how the grammar's rules are applied to produce a particular string and are essential in identifying whether a grammar is ambiguous.

Derivation

Derivation is the process of applying grammar production rules to generate strings from the start symbol. It includes both leftmost and rightmost derivations, and the uniqueness or multiplicity of these derivations for a given string is a core consideration in determining grammar ambiguity.

Transcript

Please give Ace some feedback