Which derivation is also known as canonical derivations?

2023

Which derivation is also known as canonical derivations?

  1. A.

    Left most derivation in reverse

  2. B.

    Left most derivation

  3. C.

    Right most derivation

  4. D.

    Right most derivations in reverse

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Correct answer: C

In the Theory of Computation and Compiler Design, formal languages use context-free grammars to derive strings. A derivation is a sequence of production steps that replaces non-terminals with terminal/non-terminal strings.

  • Rightmost Derivation (RMD): At each step of the derivation sequence, the rightmost non-terminal in the current sentential form is strictly chosen and replaced first.

  • Canonical Derivation: By formal computer science definition, a Rightmost Derivation is uniquely termed a Canonical Derivation. This specific relationship forms the structural foundation for bottom-up parsing techniques (like LR parsers), which implicitly trace a rightmost derivation in reverse order.

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