Establishes a formal connection between Jacobs-Staton categorical De Finetti theorem and Melliès free exponential in linear logic, instantiated in probabilistic coherence spaces, then characterizes total elements of !Bool.
Now, we can see thatf ′ also is a total function: again by Lemma 108, it is enough to see that for everyx∈T X,f ′(x!) = 1 =f(x !)
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Interpreting De Finetti's theorem in the Category of Integrable Cones (long version)
Establishes a formal connection between Jacobs-Staton categorical De Finetti theorem and Melliès free exponential in linear logic, instantiated in probabilistic coherence spaces, then characterizes total elements of !Bool.