| Paul Taylor. Subspaces in abstract Stone duality. Theory and Applications of Categories, 10(13):300-- 366, 2002. |
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Paul Taylor. Subspaces in abstract Stone duality. Theory and Applications of Categories, 10(13):300-- 366, 2002.
No context found.
Paul Taylor. Sober spaces and continuations. Theory and Applications of Categories, 10(12):248--299, 2002.
....(your continuation # from my procedure) I can tell you what ( we re going to do with your input. So computations are given in the same contravariant way as continuous functions are defined in general topology. 1.13. Remark. Since we only access values via their observations, if #[a] #[b] for all observations # : # then a = b : X. This is a Leibniz principle for values. The corresponding property for points and open subsets of a topological space is known as the T 0 separation axiom. An equality such as #[a] #[b] of two terms of type # means that one program terminates if ....
....Since we only access values via their observations, if #[a] #[b] for all observations # : # then a = b : X. This is a Leibniz principle for values. The corresponding property for points and open subsets of a topological space is known as the T 0 separation axiom. An equality such as #[a] #[b] of two terms of type # means that one program terminates if and only if the other does. This equality is not itself an observable computation, as we cannot see the programs (both) failing to terminate. 1.14. Remark. Now suppose that the system P of observations does satisfy the consistency ....
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Paul Taylor. Subspaces in abstract Stone duality. Theory and Applications of Categories, 10(13):301--368, 2002.
No context found.
Paul Taylor. Sober spaces and continuations. Theory and Applications of Categories, 10, 2002.
No context found.
Paul Taylor. Sober spaces and continuations. Theory and Applications of Categories, 10(12):248--300, 2002.
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