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External Characterizations of Continuous sL-domains,po . is a continuous sL-domain if and only if [. → .] is a continuous dcpo (resp: sL-domain) for all compact and core compact spaces .. This characterization solves Problem 532 posed by J. D. Lawson and M. W. Mislove in the book [J. Van Mill, G. M. Reed (Editors), Open Problems in Topology, Elsevier使满足 发表于 2025-3-22 16:10:51
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On Minimal Event and Concrete Data Structures,n equivalence relations on the prime intervals of the domains we can associate different event structures and cds to a given domain, respectively. By introducing reductions we show the existence of a greatest event structure and cds as well as of minimal event structures and cds generating a given e使虚弱 发表于 2025-3-22 21:55:07
A Note on Strongly Finite Sequent Structures,tion by demanding the existence of a distinguished element with the properties of a tautology. This is no restriction compared with Zhang’s approach, but has several advantages. Moreover, we show that the entailment relation of every strongly finite sequent structure can be derived from a preorder.DEAWL 发表于 2025-3-23 04:14:32
Joakim Holmlund,Björn Nilsson,Johan Rönnbynd a dcpo . is meet-continuous when . or it is a semilattice with a .-topology, where . denote the topology generated by all the Scott-open filters of .. Moreover, under appropriate conditions, the category of dcpos with .-topology form a cartesian closed category.Blood-Vessels 发表于 2025-3-23 06:35:07
On Meet-Continuous Dcpos,nd a dcpo . is meet-continuous when . or it is a semilattice with a .-topology, where . denote the topology generated by all the Scott-open filters of .. Moreover, under appropriate conditions, the category of dcpos with .-topology form a cartesian closed category.