Handbook of logic in computer science (vol. 3)
Real PCF extended with integration
LICS '96 Proceedings of the 11th Annual IEEE Symposium on Logic in Computer Science
On the non-sequential nature of the interval-domain model of real-number computation
Mathematical Structures in Computer Science
Semi-decidability of May, Must and Probabilistic Testing in a Higher-type Setting
Electronic Notes in Theoretical Computer Science (ENTCS)
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Escardo, Hofmann and Streicher showed that real-number computations in the interval-domain environment are inherently parallel, in the sense that they imply the presence of weak parallel-or. Part of the argument involves showing that the addition operation is not Vuillemin sequential. We generalize this to all continuous domain environments for the real line. The key property of the real line that leads to this phenomenon is its connectedness. We show that any continuous domain environment for any connected topological space exhibits a similar parallel effect.