```ruby
require 'pundit'

module ActiveAdmin

  class PunditAdapter < AuthorizationAdapter

    def authorized?(action, subject = nil)
      policy = retreive_policy(subject)
      action = format_action(action, subject)

      policy.class.method_defined?(action) && policy.send(action)
    end

    def scope_collection(collection, action = Auth::READ)
      # scoping is appliable only to read/index action
      # which means there is no way how to scope other actions
      Pundit.policy_scope!(user, collection)
    end


    def retreive_policy(subject)
      case subject
      when nil   then Pundit.policy!(user, resource)
      when Class then Pundit.policy!(user, subject.new)
      else Pundit.policy!(user, subject)
      end
    end

    def format_action(action, subject)
      # https://github.com/elabs/pundit/blob/master/lib/generators/pundit/install/templates/application_policy.rb
      case action
      when Auth::CREATE  then :create?
      when Auth::UPDATE  then :update?
      when Auth::READ    then subject.is_a?(Class) ? :index? : :show?
      when Auth::DESTROY then subject.is_a?(Class) ? :destroy_all? : :destroy?
      else "#{action}?"
      end
    end

  end

end
```

Fix typo on method name
user
```ruby
require 'pundit'

module ActiveAdmin

  class PunditAdapter < AuthorizationAdapter

    def authorized?(action, subject = nil)
      policy = retrieve_policy(subject)
      action = format_action(action, subject)

      policy.class.method_defined?(action) && policy.send(action)
    end

    def scope_collection(collection, action = Auth::READ)
      # scoping is appliable only to read/index action
      # which means there is no way how to scope other actions
      Pundit.policy_scope!(user, collection)
    end


    def retrieve_policy(subject)
      case subject
      when nil   then Pundit.policy!(user, resource)
      when Class then Pundit.policy!(user, subject.new)
      else Pundit.policy!(user, subject)
      end
    end

    def format_action(action, subject)
      # https://github.com/elabs/pundit/blob/master/lib/generators/pundit/install/templates/application_policy.rb
      case action
      when Auth::CREATE  then :create?
      when Auth::UPDATE  then :update?
      when Auth::READ    then subject.is_a?(Class) ? :index? : :show?
      when Auth::DESTROY then subject.is_a?(Class) ? :destroy_all? : :destroy?
      else "#{action}?"
      end
    end

  end

end
```
assistant