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Is Martin-Lof's type theory foundational for stuff people are using today? Or is it an interesting idea that never came to fruition?
by wduquette 1y ago
Is Martin-Lof's type theory foundational for stuff people are using today? Or is it an interesting idea that never came to fruition?
- grumpymuppet 1y agoIf you are interested in programming language theory (think language design) then, yes. In some sense, this kind of stuff is impossible to avoid. If you're an engineer focused on shipping product, probably not. It's not TERRIBLY useful for most day to day coding tasks. I would argue some understanding of theory is absolutely necessary if you want to make any significant tide change in CS. It's just that most people won't (myself included).
- wduquette 1y agoOh, I get the importance of type theory in general. I hadn’t run into Martin-Lof before.
- grumpymuppet 1y agoAhh, sorry, yeah. This stuff is classic. "Old" even.
- deterministic 1y agoMartin-Lof's type theory is the foundation (or inspiration) for quite a few modern proof assistants. It is also an elegant non-set based foundation for constructive mathematics.
- wduquette 1y agoAnd there it is. Thanks very much!