Context-Free Grammar Definitions: Yields, Ambiguous, Leftmost Derivation

Here we are doing a bonus video about context-free grammars (CFGs): yields, ambiguous, and leftmost derivation. They will all be important in upcoming videos. Yields involves the application of a single rule, and a derivation is a sequence of yields operations to yield a string that is only consisting of terminals. A leftmost derivation is one where the leftmost variable is always the one that is replaced. Ambiguous grammars are those that have some string they make that has 2 different leftmost derivations. A language is inherently ambiguous if every CFG for it is ambiguous.

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I am a professor of Computer Science, and am passionate about CS theory. I have taught many courses at several different universities, including several sections of undergraduate and graduate theory-level classes.