arXiv:2301.09723cs.AI
Mathematics, word problems, common sense, and artificial intelligence
Early discovery. Linked by one identifiable commenter. This paper is outside the main ranking; a mention is not an endorsement.
Abstract
The paper discusses the capacities and limitations of current artificial intelligence (AI) technology to solve word problems that combine elementary knowledge with commonsense reasoning. No existing AI systems can solve these reliably. We review three approaches that have been developed, using AI natural language technology: outputting the answer directly, outputting a computer program that solves the problem, and outputting a formalized representation that can be input to an automated theorem verifier. We review some benchmarks that have been developed to evaluate these systems and some experimental studies. We discuss the limitations of the existing technology at solving these kinds of problems. We argue that it is not clear whether these kinds of limitations will be important in developing AI technology for pure mathematical research, but that they will be important in applications of mathematics, and may well be important in developing programs capable of reading and understanding mathematical content written by humans.
Feed forward Neural Networks, like LLMs using attention are effectively Directed acyclic graphs, so it has little it can do to 'evaluate from the outside' Even if you can move to second-order logic logically-valid formulas in second-order logic is not recursively enumerable. AS…
nyrikkiView on HNParent context