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Re: [tlaplus] How to read a liveness dot dump

Hi Hillel,

in a nutshell, you're seeing TLC's internal representation of what "Temporal Verification of Reactive Systems: Safety" [1] and “How to verify temporal formulas in TLA” [2] call the "behavior graph" (cross product of the state graph and the tableaux). Unless others have found this graph useful outside of debugging TLC, I suggest we change TLC not to dump `outfile_liveness` by default (with the Toolbox nobody ever noticed because the file is well hidden).


[1] https://link.springer.com/book/10.1007/978-1-4612-4222-2
[2] http://www.wischik.com/lu/research/verify-tla-report.html

> On Apr 26, 2022, at 6:26 PM, hwa...@xxxxxxxxx <hwayne@xxxxxxxxx> wrote:
> When you run TLC from the command line with the flag option -dump dot outfile and you check a temporal property, then TLC makes two files, `outfile` and `outfile_liveness`. The graphviz for `outfile` is self-descriptive, but I'm having a hard time understanding the `outfile_liveness` graph. First image is a regular state space, second is the liveness dotfile.
> <Xa_image-KYR.png>
> <Xa_image-KYR_liveness.png>
> 1. Why don't all four states appear in the liveness graph?
> 2. What do the [t] and [f] labels on the edges mean?
> 3. Does the #number.0# mean anything?
> Thanks!
> H

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