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.
We form a cone onDas: E:= (λ·⋆∈1 λ· ´ gi◦γ − − − − − →Di) – to check that it is indeed a cone onD, we need to use the fact that the morphisms that formsDpreserve integrals
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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.