Discussion
Why is the study of search foundational to the wider subject?
Answer: A
Adversarial games, constraint satisfaction, classical planning and much of automated reasoning are formulated as search over a space of states or of partial solutions, so the vocabulary and the analysis transfer directly. Not every system searches, other techniques are equally analysable, and provability is not confined to search. A framework that recurs across several apparently distinct subfields is worth mastering once rather than relearning in each disguise.
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