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Reasoning about queues

I would like to know if someone has a good theory of queues. 
I would like one that is built in such a way that allows good use of
rewriting (i.e. doesn't get (grind) into infinite rewriting loops).

(I need FIFO unbounded queues for objects of any nonempty type).

I am trying with a definitional style based on finite_sequence,
but I was thinking an axiomatic style might lead to more efficient proofs.


Marcelo Glusman