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Re:I wrote Task Manager and I just remembered something (2020) by eganist on Sunday January 16, 2022 @10:17AM (#29956616)
Closest I can think of is Safe Mode, at least based on the definition - https://en.wikipedia.org/wiki/Safe_mode - but running on reduced resources isn't exactly the same, so I'm sure there's a better answer.

Inviting correction by people with more extensive engineering experience; most of mine is in breaking rather than building.

Re:I wrote Task Manager and I just remembered something (2020) by skibz on Sunday January 16, 2022 @10:27AM (#29956716)
Perhaps the most appropriate term would be fault-tolerant?

https://en.wikipedia.org/wiki/Fault_tolerance

Re:I wrote Task Manager and I just remembered something (2020) by justsomehnguy on Monday January 17, 2022 @09:27AM (#29966825)
FT usually (at least in IT) implies a way to switch/defer/transfer the task to other node without an interruption (or a very minor degradation) of service.

A synchronious replication of a VM would be an example of a FT service (so it can continue to work without losing the current state). Failover is a process of restoring the operation with losing the current state (so vmware's HA is clearly FO if you dig below the marketing bullshit).

Described behaviour of the Task Manager is not FT, FO or HA.

Other commenters provided good variants, personally I would go with "Graceful Degradation", because it proceeds with a minimal functionality only if there were problems with normal operation.

Re:I wrote Task Manager and I just remembered something (2020) by duskwuff on Sunday January 16, 2022 @01:41PM (#29958609)
"Limp-home mode" -- as seen in many cars -- comes to mind.
Re:I wrote Task Manager and I just remembered something (2020) by alisonkisk on Sunday January 16, 2022 @10:20AM (#29956641)
Also "Graceful Degradation".
Re:I wrote Task Manager and I just remembered something (2020) by emllnd on Sunday January 16, 2022 @10:36AM (#29956787)
And "Progressive Enhancement" [1], although that is usually used in web development context.

Adjusting the introductory statement on that Mozilla page we could arrive at something like:

"Progressive enhancement is a design philosophy that provides a baseline of essential content and functionality to as many users as possible, while delivering the best possible experience only to users" ...whose computers have sufficient resources such as RAM and CPU cycles available to process and display it.

[1] https://developer.mozilla.org/en-US/docs/Glossary/Progressiv...