Reference · The Applied Higher-Order Functions catalogue

rainbow.algorithms.proofs.ahof.ac-mcts

The Applied Higher-Order Functions cataloguesrc/rainbow/algorithms/proofs/ahof/ac_mcts.clj2 definitions, 3 theorems

AHoF D56 Actor-Critic with MCTS: guide tree search by the critic and select the child with the larger UCB-augmented value; it keeps the larger value: prefers-child-zero? a b = decide ('b 'a) node-value a b = if ('b 'a) then 'a else 'b over exact rationals. Proved native and axiom-free: the preference decision, the selected value, and the switch. Requires audit/decide-nnrat-at-most, logic/if-data (both in the D63 checkpoint). Scope (measured by the kernel): this module has 3 worked instances (statements about specific values). None of its theorems is a guarantee about the algorithm for all inputs; `lein verify rainbow.algorithms.proofs.ahof.ac-mcts` prints this classification.

ac-mcts/prefers-child-zero? :
  (x₁ x₂ : ℚ≥0)
  → data/Bool

ac-mcts/node-value :
  (x₁ x₂ : ℚ≥0)
  → ℚ≥0

ac-mcts/prefers-example :
  → estimation/mle-prefers 3/4 1/2 = data/true

ac-mcts/selected-value :
  → ac-mcts/node-value 3/4 1/2 = 3/4

ac-mcts/switches :
  → estimation/mle-prefers 1/2 3/4 = data/false