Documentation

Aesop.Tree.Data

Node IDs #

structure Aesop.GoalId :
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            Rule Application IDs #

            structure Aesop.RappId :
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                      Iterations #

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                        The Tree #

                        At each point during the search, every node of the tree (goal, rapp or mvar cluster) is in one of these states:

                        • proven: the node is proven.
                        • unprovable: the node is unprovable, i.e. it will never be proven regardless of any future expansions that might be performed.
                        • unknown: neither of the above.

                        Every node starts in the unknown state and may later become either proven or unprovable. After this, the state does not change any more.

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                                  A refinement of the NodeState, distinguishing between goals proven during normalisation and goals proven by a child rule application.

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                                                        A goal G can be added to the tree for three reasons:

                                                        1. G was produced by its parent rule as a subgoal. This is the most common reason.
                                                        2. G was copied because it contains some metavariables which were assigned by its parent rule. In this case, we record goal of which G is a copy. We also record the representative of the equivalence class of goals which are copies of each other. E.g. if goal 1 is copied to goal 2 and goal 2 is copied to goal 3, they are all part of the equivalence class with representative 1.
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                                                            structure Aesop.GoalData (Rapp : Type) (MVarCluster : Type) :
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                                                              instance Aesop.instNonemptyGoalData :
                                                              ∀ {Rapp MVarCluster : Type} [inst : Nonempty MVarCluster], Nonempty (Aesop.GoalData Rapp MVarCluster)
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                                                              structure Aesop.MVarClusterData (Goal : Type) (Rapp : Type) :
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                                                                • Aesop.instInhabitedMVarClusterData = { default := { parent? := default, goals := default, isIrrelevant := default, state := default } }
                                                                structure Aesop.RappData (Goal : Type) (MVarCluster : Type) :
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                                                                  instance Aesop.instNonemptyRappData :
                                                                  ∀ {Goal : Type} [inst : Nonempty Goal] {MVarCluster : Type}, Nonempty (Aesop.RappData Goal MVarCluster)
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                                                                  structure Aesop.TreeSpec :
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                                                                      @[implemented_by Aesop.treeImpl]
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                                                                                                                                                  def Aesop.Goal.setUnsafeRulesSelected (unsafeRulesSelected : Bool) (g : Aesop.Goal) :
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                                                                                                                                                                                                  Miscellaneous Queries #

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                                                                                                                                                                                                                      def Aesop.Rapp.foldSubgoalsM {m : TypeType} {σ : Type} [Monad m] [MonadLiftT (ST IO.RealWorld) m] (init : σ) (f : σAesop.GoalRefm σ) (r : Aesop.Rapp) :
                                                                                                                                                                                                                      m σ
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