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The impact of GenAI-assisted instructional design on the teaching ability of pre-service physical education teachers. [PDF]
Fu H.
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An innovative quantum-fuzzy paradigm for time- and context-sensitive membership: Quantive logic. [PDF]
Yerlikaya MA +4 more
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Tunable Triple-Band Terahertz Perfect Absorber and Four-Input AND Gate Based on a Graphene Metamaterial. [PDF]
Xu S +6 more
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Exponentially Amplified Circularly Polarized Lasing from Chiral Carbon Dots. [PDF]
Ding S +5 more
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Programming with Higher-Order Logic
Formal systems that describe computations over syntactic structures occur frequently in computer science. Logic programming provides a natural framework for encoding and animating such systems. However, these systems often embody variable binding, a notion that must be treated carefully at a computational level.
Miller, Dale, Gopalan, Nadathur
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Boolean-Valued Second-Order Logic
In so-called full second-order logic, the second-order variables range over all subsets and relations of the domain in question. In so-called Henkin second-order logic, every model is endowed with a set of subsets and relations which will serve as the ...
Jouko Väänänen
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On connections and higher-order logic
Journal of Automated Reasoning, 1989Mathematics Technical ...
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Hauptsatz for higher order logic
Journal of Symbolic Logic, 1968I shall prove in this paper that Gentzen's Hauptsatz is extendible to simple type theory, i.e., to the predicate logic obtained by admitting quantification over predicates of arbitrary finite type and generalizing the second order quantification rules to cover quantifiers of other types.
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Connections and higher-order logic
1986Theorem proving is difficult and deals with complex phenomena. The difficulties seem to be compounded when one works with higher-order logic, but the rich expressive power of Church's formulation [10] [3] of this language makes research on theorem proving in this realm very worthwhile.
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