Review for NeurIPS paper: Hierarchical Poset Decoding for Compositional Generalization in Language

Weaknesses: First, I feel that their poset decoding framework is not really a general-purpose approach to achieve compositional generalization in language, but is kind of specialized for decoding logical forms that include a set of conjunctive/disjunctive clauses, especially for generating SparQL or SQL queries. In this space, some existing work already proposes techniques for synthesizing unordered SQL clauses, e.g., [1][2]. In particular, although [2] does not consider compositional generalization, the hierarchical decoding process in this paper shares some high-level similarities with the sketch-based query synthesis approach in [2]. This paper lacks a discussion of related work for natural language to SQL synthesis. Second, though the results on CFQ are impressive, some important details are missing.