Sure, I mean more like there'd be some interface ByteStream, and probably another interface TerminalInput extends ByteStream; TerminalInput would then contain the especially terminal-related signals (e.g. sigwinch). If a program doesn't declare that it wants a full TerminalInput for stdin, the sigwinches would be dropped. If it declares it wants one but the environment can't provide one (e.g. stdin is closed, stdin is a file, etc.) it would be an error from execve().
Other signals would be provided by other resources, ofc; e.g. sigint should probably be present in all programs.
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In general, my ideal OS would have look something like [0], but with isolation between the objects (since they're now processes), provisions for state changes (so probably interfaces would look more like session types), and with a type system that supports algebraic data types.
[0]: https://www.tedinski.com/2018/02/20/an-oo-language-without-i...