Subset vs. Subseteq

[AmirHossein SayyadAbdi]

Hi Everyone,

What is the difference between \subset and \subseteq in TLA+? Is it about (dis)allowing the empty subset?

AmirHossein

[Stephan Merz]

\subset means "strict subset" whereas \subseteq means "subset or equal".

For example, ~({1,2,3} \subset {1,2,3})  but  {1,2,3} \subseteq {1,2,3}.

Stephan

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[AmirHossein SayyadAbdi]

Thank you so much.

AmirHossein

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[Leslie Lamport]

Stephan should have mentioned that \subseteq is a built-in TLA+ operator, while \subset 
is not and can be defined in the spec to have any meaning.

On Thursday, November 14, 2019 at 1:31:03 AM UTC-8, Stephan Merz wrote:

\subset means "strict subset" whereas \subseteq means "subset or equal".

For example, ~({1,2,3} \subset {1,2,3})  but  {1,2,3} \subseteq {1,2,3}.

Stephan

On 14 Nov 2019, at 10:21, AmirHossein SayyadAbdi  wrote:

Hi Everyone,

What is the difference between \subset and \subseteq in TLA+? Is it about (dis)allowing the empty subset?

AmirHossein

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[AmirHossein SayyadAbdi]

Thanks so much for clarification!

AmirHossein

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