{"id":"strategy-through-transformation","title":"Finding a strategy by changing the representation","regions":["computation","representation"],"question":"Can a compact structural description expose a strategy that remains obscure in step-by-step action search?","formulation":"A recursive enclosure can be re-described as a portal; a score-seeking learner can reveal the importance of an intermediate resource. The aim is to express such strategic structure economically without overextending the analogy.","representations":[{"name":"Action-level search","affords":"Records executable steps and local consequences.","loses":"May spend effort rediscovering a useful invariant.","epistemic_kind":"reconstruction"},{"name":"Structural analogy or compressed strategy","affords":"Transfers a known way of seeing a problem.","loses":"Can transfer invalid assumptions if the two ends are poorly specified.","epistemic_kind":"reconstruction"}],"tension":"A shorter description can either expose an invariant or hide the cases where the analogy fails.","challenge":"Which state transitions does the analogy preserve, and where does it predict the wrong result?","development":"active","epistemic_kind":"reconstruction","evidence":["basis-strategy-through-transformation"],"next_move":{"text":"Compare a strategy description with an explicit transition table, including at least one adversarial boundary case.","epistemic_kind":"model_proposed"},"open_questions":["Can a compact structural description expose a strategy that remains obscure in step-by-step action search?","Which state transitions does the analogy preserve, and where does it predict the wrong result?"],"formal_status":"open_problem","version":1,"content_hash":"b601358c7d5b63dae9c87e9712eed068445ebbe376e930ddb71f6043716937fb"}