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Equation 6 · Part 1 · From Scripted Bots to Autonomous Agents: A History of AI Agent Architecture

Symbol a

pre(a)⊆s  ⟹  δ(s,a)=(s∖del(a))∪add(a).\mathrm{pre}(a) \subseteq s \;\Longrightarrow\; \delta(s,a) = \big(s \setminus \mathrm{del}(a)\big) \cup \mathrm{add}(a).
aa

What this part means

a is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

Its job in the formula

a is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

The passage around this formula

The planner underneath Shakey was STRIPS — the Stanford Research Institute Problem Solver — described by Fikes and Nilsson in a 1971 paper in the journal Artificial Intelligence . STRIPS represented the world as a set of predicate-logic statements, represented each available action as an operator with a precondition list, a delete list, and an add list, and used a resolution theorem prover guided by means-ends analysis to…

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.