Tue 14 Jun 2022 11:15 - 11:30 at Toucan - Thinking Alike Chair(s): Max Willsey
Tue 14 Jun 2022 23:15 - 23:30 at Toucan - Thinking Alike

Many tasks in programming languages involve representing and manipulating sets of programs. In program synthesis, the goal is to find a program satisfying a given specification from a set of programs possibly generated by a given grammar. In program optimization, the goal is to find an efficient program from the set of programs equivalent to the input. Programming languages research has considered various abstractions to represent sets of programs. Two examples are the version space algebra (VSA), popularized by FlashFill for enumerative program synthesis, and the e-graph that lies at the heart of an array of new program optimizers. In this talk we show that VSAs and e-graphs are but special cases of the well-studied finite-state (tree) automata from formal language theory. This new perspective allows us to place VSAs and e-graphs on a firm theoretical foundation, and also enables us to leverage powerful tools from formal language theory to perform tasks in programming languages. In the converse, bridging the concepts can also contribute to tree automata research with techniques developed for e-graphs and VSAs.

Tue 14 Jun

Displayed time zone: Pacific Time (US & Canada) change

10:30 - 12:00
Thinking AlikeEGRAPHS at Toucan +12h
Chair(s): Max Willsey University of Washington
10:30
15m
Talk
Logging an Egg: Datalog on E-Graphs
EGRAPHS
Philip Zucker Draper Laboratory
Pre-print Media Attached
10:45
15m
Talk
Chasing an egg
EGRAPHS
Yihong Zhang University of Washington
Pre-print
11:00
15m
Talk
ECTAs: E-Graphs Better (at Encoding)
EGRAPHS
James Koppel Massachusetts Institute of Technology, USA, Zheng Guo University of California, San Diego, Edsko de Vries Well-Typed LLP, Armando Solar-Lezama Massachusetts Institute of Technology, Nadia Polikarpova University of California at San Diego
11:15
15m
Talk
E-Graphs, VSAs, and Tree Automata: a Rosetta StoneVirtual
EGRAPHS
Yisu Remy Wang University of Washington, James Koppel Massachusetts Institute of Technology, USA, Altan Haan OctoML, Josh Pollock MIT CSAIL
Link to publication Pre-print
11:30
15m
Talk
Equality Saturation as a Tactic for Proof Assistants
EGRAPHS
Andrés Goens the University of Edinburgh, Siddharth Bhat the University of Edinburgh
11:45
15m
Talk
Towards Optimising Certified Programs by Proof Rewriting
EGRAPHS
Kiran Gopinathan National University of Singapore, Ilya Sergey National University of Singapore
22:30 - 00:00
Thinking AlikeEGRAPHS at Toucan
22:30
15m
Talk
Logging an Egg: Datalog on E-Graphs
EGRAPHS
Philip Zucker Draper Laboratory
Pre-print Media Attached
22:45
15m
Talk
Chasing an egg
EGRAPHS
Yihong Zhang University of Washington
Pre-print
23:00
15m
Talk
ECTAs: E-Graphs Better (at Encoding)
EGRAPHS
James Koppel Massachusetts Institute of Technology, USA, Zheng Guo University of California, San Diego, Edsko de Vries Well-Typed LLP, Armando Solar-Lezama Massachusetts Institute of Technology, Nadia Polikarpova University of California at San Diego
23:15
15m
Talk
E-Graphs, VSAs, and Tree Automata: a Rosetta StoneVirtual
EGRAPHS
Yisu Remy Wang University of Washington, James Koppel Massachusetts Institute of Technology, USA, Altan Haan OctoML, Josh Pollock MIT CSAIL
Link to publication Pre-print
23:30
15m
Talk
Equality Saturation as a Tactic for Proof Assistants
EGRAPHS
Andrés Goens the University of Edinburgh, Siddharth Bhat the University of Edinburgh
23:45
15m
Talk
Towards Optimising Certified Programs by Proof Rewriting
EGRAPHS
Kiran Gopinathan National University of Singapore, Ilya Sergey National University of Singapore