Modelling the way mathematics is actually done

Joseph Corneli, Ursula Martin, Dave Murray-Rust, Alison Pease, Raymond Puzio, Gabriela Rino Nesin
2017 Proceedings of the 5th ACM SIGPLAN International Workshop on Functional Art, Music, Modeling, and Design - FARM 2017  
Whereas formal mathematical theories are well studied, computers cannot yet adequately represent and reason about mathematical dialogues and other informal texts. To address this gap, we have developed a representation and reasoning strategy that draws on contemporary argumentation theory and classic AI techniques for representing and querying narratives and dialogues. In order to make the structures that these modelling tools produce accessible to computational reasoning, we encode
more » ... ons in a higherorder nested semantic network. This system, for which we have developed a preliminary prototype in LISP, can represent both the content of what people say, and the dynamic reasoning steps that move from one step to the next. CCS Concepts • Computing methodologies → Philosophical/theoretical foundations of artificial intelligence;
doi:10.1145/3122938.3122942 dblp:conf/icfp/CorneliMMPPN17 fatcat:3avruyjwpnd5nkmjdyl6mtu6jq