EscheWang/AlternateNumbers

This is a dataset for CFG-based GflowNet development. The ebnf style CFG for numbers are:

root ::= number_list

number_list ::= number (number_list)?

number ::= odd even | even odd

even ::= "0," | "2," | "4," | "6," | "8," | "10," | "12," | "14," | "16," | "18," | "20,"

odd ::= "1," | "3," | "5," | "7," | "9," | "11," | "13," | "15," | "17," | "19,"

However, this CFG cannot satisfy all the requirments. The CFG give a chunk of numbers where the transition between chunks always failed to satisfy our requirment:

Total correct ≤ Total grammar Agreed

~6332/100000 (how many correct numbers in CFG generated numbers)

So we need RL or Gflow to bridge the gap between CFG and the targets.