Don Knuth and MMIXAL vs. Chuck Moore and Forth -- Algorithms and Ideal Machines -- was there any cross-pollination / influence in their ideas / work? Question:

To what extent is it known (or believed) that Chuck Moore and Don Knuth had influence on each other's thoughts on ideal machines, or their work on algorithms?

I'm interested in citations, interviews, articles, links, or any other sort of evidence.  It could also be evidence of the form of A and B here suggest that Moore might have borrowed or influenced C and D from Knuth here, or vice versa.  (Opinions are of course welcome, but references / links would be better!)

Context:

Until fairly recently, I have been primarily familiar with Knuth's work on algorithms and computing models, mostly through TAOCP but also through his interviews and other writings.

However, the more I have been using Forth, the more I am struck by both the power of a stack-based machine model, and the way in which the spareness of the model makes fundamental algorithmic improvements more readily apparent.  

A lot of what Knuth has done in fundamental analysis of algorithms has, it seems to me, a very similar flavour, and I can easily imagine that in a parallel universe, Knuth might perhaps have chosen Forth as his computing model.

That's the software / algorithms / programming side of things.

When it comes to "ideal computing machines", Knuth in the 70s came up with the MIX computer model, and then, collaborating with designers of state-of-the-art RISC chips through the 90s, updated this with the modern MMIX model and its attendant assembly language MMIXAL.

Meanwhile, Moore, having been using and refining Forth as a language, but using it on top of whatever processor happened to be in the computer he was programming, began to imagine a world in which the efficiency and value of stack-based programming were reflected in hardware.  So he went on in the 80s to develop his own stack-based hardware chips, defining the term MISC (Minimal Instruction Set Computers) along the way, and ending up eventually with the first Forth chip, the MuP21.

Both are brilliant men with keen insight into the art of programming and algorithms, and both work at the intersection between algorithms, programs, and bare metal hardware (i.e. hardware without the clutter of operating systems).

Which leads to the question as headlined...

Question: To what extent is it known (or believed) that Chuck Moore and Don Knuth had influence on each other's thoughts on ideal machines, or their work on algorithms?
There is some evidence: This paper was presented at the ACM SIGPLAN History of Programming Languages Conference (HOPL II, April, 1993), co-authored by myself, Chuck, and Don Colburn, an erstwhile colleague now unfortunately deceased. It references, in turn, a very early work that Chuck wrote when Forth was in what might be called an "alpha" form, "Programming a Problem-oriented Language".

I worked with Chuck from 1970 until 1982, when he left FORTH, Inc. to pursue chip-level implementations of Forth. I know that he referenced Knuth's books and papers for specific algorithms from time to time, but do not believe Knuth influenced the design of Forth in any way. In the time I worked with him, the two men never met. Whether Knuth was aware of Forth or of Chuck I cannot say.