ONNX (and maybe RIF) are worth mentioning.

ONNX: https://onnx.ai/ :

> ONNX is an open format built to represent machine learning models. ONNX defines a common set of operators - the building blocks of machine learning and deep learning models - and a common file format to enable AI developers to use models with a variety of frameworks, tools, runtimes, and compilers

RIF (~FOL): https://en.wikipedia.org/wiki/Rule_Interchange_Format

Datalog (not Turing-complete): https://en.wikipedia.org/wiki/Datalog