The experts in dependent types I know, think Path Semantics might help provide a better foundation or understanding in the future, or perhaps languages with some new features. We don’t know yet, because it takes a lot of work to get there. I don’t have the impression that they are thinking about Path Semantics, since there is already a lot to do in dependent types.
The reason I worked with Kent Palmer, was because unlike in dependent types, it is easier to see the connection between Path Semantics and Continental Philosophy. Currently, there is a divide between Analytic Philosophy and Continental Philosophy and Kent Palmer is interested in bridging these two.
Maybe you can talk to Eric Weiser, who kindly provided me a proof in Lean 3: https://github.com/advancedresearch/path_semantics/blob/master/papers-wip/semiconjugates-as-satisfied-models-of-total-normal-paths.pdf
The experts in dependent types I know, think Path Semantics might help provide a better foundation or understanding in the future, or perhaps languages with some new features. We don’t know yet, because it takes a lot of work to get there. I don’t have the impression that they are thinking about Path Semantics, since there is already a lot to do in dependent types.
The reason I worked with Kent Palmer, was because unlike in dependent types, it is easier to see the connection between Path Semantics and Continental Philosophy. Currently, there is a divide between Analytic Philosophy and Continental Philosophy and Kent Palmer is interested in bridging these two.