There is a movement afoot to develop GQL as a kind of SQL for graphs. It's just starting up, and I'm afraid that they may create YAK (Yet Another Kluge). But since they want to use SQL conventions, there is a possibility for making it compatible with DOL. If they do that, it could be a winner. Otherwise, it could be a disaster.
The header of SQL is neutral: SELECT ... WHERE /* A statement in some version of logic */
My recommendation is to base the WHERE-clause on DOL, which is an OMG standard that can relate all the logics of the Semantic Web and all the diagrams of Formal UML to Common Logic.
In March of 2020, I presented a talk at the Knowledge Graph conference, for which I got the best presentation award. I updated it for a keynote speech at the European Semantic Web Conference in June 2020. In both talks, I emphasized the importance of interoperability and the use of DOL for relating all the logics to one another via the freely available software that was available. See http://jfsowa.com/talks/eswc.pdf .
In eswc.pdf, I emphasized the relationship of graph logics to Common Logic and the OMG standard for DOL. I believe that approach could be used to allow any logic supported by DOL as a candidate for the WHERE clause. That would include a broad range of logics that are already being used plus any new logics that could be mapped to and from graphs. As examples, I used existential graphs and conceptual graphs. They are general enough to include all the current knowledge graphs as proper subsets -- and both EGs and CGs can support the same version of Common Logic as DOL they can also be extended to support IKL -- but that would not be in the first version of GQL.
Some people might complain that Common Logic is too powerful. But DOL supports mappings among a very wide range of logics from the simplest up to some very rich versions. A standard based on DOL would allow and encourage implementers to choose any level of expressive power that any DOL logic supports.
That would allow implementers to start small and add as much expressive power as they find useful at any time they wish And it would show them an open-ended growth path for the future.
Bottom Line: The standards organizations have a motto: "Standards should be built on other standards." By building GQL on DOL, they would create a bridge to all the logics of the Semantic Web, Formal UML, and SQL, which supports a subset of first-order logic.
John