Locale 发表于 2025-3-27 00:44:37
Variations on ,(,),Two variations on .(.) are provided. The interrelationships among .(.) and these two variations are discussed.Aspiration 发表于 2025-3-27 02:23:30
Direct Completion of Direct Deduction,Direct deduction is augmented by five more rules so that it becomes equivalent to general deduction from any consistent set of categorical sentences.憎恶 发表于 2025-3-27 07:22:51
Models of ,(,) Revisited,General .(.)-models are fully characterized. Moreover, defining the notions of core structures and core models, as well as other syntactical and semantical notions, a deeper discussion of .(.)-models is made possible and direct ways to assign order models and partial order models to consistent sets of categorical sentences are provided.babble 发表于 2025-3-27 11:36:00
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Independence,Regarding the natural deduction formalization of AAS, the notions of independence and weak independence are defined and discussed for different deduction systems.胡言乱语 发表于 2025-3-27 22:14:43
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Algebraic Interpretation of ,(,),It is shown how .(.) may be interpreted in expansions of partial algebras satisfying some conditions. Interrelationships among these expansions, order models, and partial order models are discussed.植物群 发表于 2025-3-28 07:58:15
Annihilators: Embedding the Partial into a Total,Introducing the notions of annihilators and annihilator algebras, it is shown how a partial algebra may be embedded in a total annihilator algebra. Interrelationships among these algebras, their reducts, subreducts, and the order structures induced by them are discussed.Munificent 发表于 2025-3-28 10:27:58
Back to Algebraic Interpretation,Interpretation of .(.) in expansions of annihilator algebras satisfying some conditions, is defined. The interrelationships among these expansions, the expansions introduced in Chap. ., and Venn models are discussed.