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Equation 6 · Part 2 · From Scripted Bots to Autonomous Agents: A History of AI Agent Architecture

Symbol s

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).
ss

What this part means

s is part of the quantity the equation computes from the expression on the right.

Its job in the formula

s is part of the quantity the equation computes from the expression on the right.

The passage around this formula

…list, a delete list, and an add list, and used a resolution theorem prover guided by means-ends analysis to search for a sequence of operators connecting the current state to a goal state [ 2 ] . Formally, for a state s represented as a set of ground predicates and an operator a with precondition set pre(a)\mathrm{pre}(a) , delete set del(a)\mathrm{del}(a) , and add set add(a)\mathrm{add}(a) , the operator is applicable when its preconditions hold, and produces a new state by 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). This is worth writing out because…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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