Better Type-Error Messages Through Lazy Typing

Producing precise and helpful error messages for type inference is\ud still a challenge for implementations of functional languages. Current approaches often lack precision in terms of locating the origins\ud of type errors. Moreover, suggestions for how to fix type errors that\ud are offered by some tools are also often vague or incorrect.\ud To address this problem we have developed a new approach to\ud identifying type errors that is based on delaying typing decisions\ud and systematically gathering context information to support the\ud delayed decision making. Our technique, which we call lazy typing,\ud is based on explicitly representing conflicting types and type errors\ud in choice types that will be accumulated during the typing process.\ud The structure of these types is then analyzed to produce error\ud messages and, in many cases, also type-change suggestions.\ud We will demonstrate that lazy typing is often more precise in\ud locating type errors than existing tools and that it can also produce\ud good type-change suggestions. We do not consider lazy typing as\ud a replacement for other techniques, but rather as an addition that\ud could help improve other approaches