[ { "problem_type": "symbolize", "num_propositions": 3, "max_questions": 3, "allowed_connectives": [ "&", "||", "~" ] }, { "problem_type": "symbolize", "num_propositions": 3, "max_questions": 4, "allowed_connectives": [ "&", "=>", "~" ] }, { "problem_type": "symbolize", "num_propositions": 4, "max_questions": 3, "allowed_connectives": [ "&", "||", "~", "=>", "=" ] }, { "problem_type": "symbolize", "num_propositions": 2, "max_questions": 5, "allowed_connectives": [ "&", "||", "~" ] } ]