Dcpos, Free DCPOs #249
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Dcpos, Free DCPOs #249
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plt-amy
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Sep 5, 2023
ncfavier
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Sep 8, 2023
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| If $(P, \le)$ is a DCPO, then any function $f : P \to Q$ which preserves | ||
| directed lubs is automatically a monotone map, and, consequently, | ||
| Scott-continuous. |
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"consequently, Scott-continuous"? Didn't we just assume
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Ah I see, you're defining Scott-continuous as monotone + preserves directed lubs.
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Yeah, it's a bit odd, but it makes sense if you view the category of DCPOs as a subcategory of the category of posets.
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Description
This PR defines DCPOs and pointed DCPOs, constructs the free DCPO and the free pointed DPCO, and proves some various properties about them.