In this paper, we present an efficient, functional, and formally verified parsing algorithm for LL(1) context-free expressions based on the concept of derivatives of formal languages.
Parsing with derivatives is an elegant parsing technique, which, in the general case, suffers from cubic worst-case time complexity and slow performance in practice.
We specialise the parsing with derivatives algorithm to LL(1) context-free expressions, where alternatives can be chosen given a single token of lookahead.
We formalise the notion of LL(1) expressions and show how to efficiently check the LL(1) property.
Next, we present a novel linear-time parsing with derivatives algorithm for LL(1) expressions operating on a zipper-inspired data structure.
We prove the algorithm correct in Coq and present an implementation as a part of Scallion, a parser combinators framework in Scala with enumeration and pretty printing capabilities.
This program is tentative and subject to change.
Fri 19 Jun (GMT-07:00) Pacific Time (US & Canada) change
| 06:20 - 06:40 Talk | Grzegorz HermanJagiellonian University, Poland | |||||||||||||||||||||||||||||||||||||||||
| 06:40 - 07:00 Talk | ||||||||||||||||||||||||||||||||||||||||||
| 07:00 - 07:20 Talk | Yuanbo LiGeorgia Institute of Technology, USA, Shuo DingGeorgia Institute of Technology, USA, Qirun ZhangGeorgia Institute of Technology, USA, Davide ItalianoApple, USA | |||||||||||||||||||||||||||||||||||||||||
| 07:20 - 07:40 Talk | Varot PremtoonMassachusetts Institute of Technology, USA, James KoppelMassachusetts Institute of Technology, USA, Armando Solar-LezamaMassachusetts Institute of Technology, USA | |||||||||||||||||||||||||||||||||||||||||