Re: lean graphs in the semantics

>It appears that the definition of lean graphs is not very useful.
>
>For example
>
>	ex:x ex:r _:x .
>	_:x ex:r ex:y .
>	ex:x ex:r _:y .
>	_:y ex:r ex:z .
>
>is a non-lean graph but it is not internally redundant.

Good point. This definition was written a long time ago.  Here's a 
better definition: a graph is fat if it has a proper subgraph which 
is an instance of it, otherwise lean.  Now  examples like the above 
are lean. The lemmas apply to this definition (with easier proofs, in 
fact.)

Pat



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Received on Tuesday, 10 June 2003 22:34:36 UTC