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State Transformer Functions

  • A state transformer function represents behavior of the environment:
  • Note that environments are…
    • history dependent
    • non-deterministic
  • If τ( r )=∅, then there are no possible successor states to r . In this case, we say that the system has ended its run
  • Formally, we say an environment Env is a triple Env = ⟨ E , e0 , τ ⟩ where: E is a set of environment states, e0 ∈ E is the initial state, and τ is a state transformer function

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