11 ms·
Incidentally, I've also been thinking about dual quaternions for modeling rigid objects in 3d. For anyone who's curious about the topic, these seem to be a dece
by ssivark 8y ago
Incidentally, I've also been thinking about dual quaternions for modeling rigid objects in 3d. For anyone who's curious about the topic, these seem to be a decent set of notes: http://web.cs.iastate.edu/~cs577/handouts/dual-quaternion.pdf http://web.cs.iastate.edu/~cs577/handouts/dual-quaternion.pd...
Linear logic always reminded me of the no-cloning property in quantum physics, where a resource can only be used once -- no copying for multiple use.
Can you elaborate on the sense in which you think of linear logic as "squaring to zero"? UPDATE: A little googling throws up this: http://www.seas.upenn.edu/~sweirich/types/archive/1999-2003/msg00520.html http://www.seas.upenn.edu/~sweirich/types/archive/1999-2003/...
- adamnemecek 8y agoGood point about no copy. So this is kinda roundabout however there’s homotopy type theory which states that topology=logic=type theory. For a second let's say that theres a fourth "element" in this equation and that's quaternions (this isn't a stretch I can provide some papers that hint at this). Linear logic is classical logic with the added reference to time without explicitly referencing time. Dual quaternions all about modeling deformation over time. Therefore, I would conclude that linear logic and dual quaternions are related.