Titlebook: Ordinal Analysis with an Introduction to Proof Theory; Toshiyasu Arai Textbook 2020 The Editor(s) (if applicable) and The Author(s), under

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圓錐

cultivated

歡呼

fiscal

Collapsings,hich uncountable infinitary derivations and uncountable ordinals are collapsed down to countable ones. This is done through Mostowski collapsings of Skolem hulls as in the Condensation lemma, which is a key to prove the fact that the GCH (Generalized Continuum Hypothesis) holds in the constructible

情感脆弱

Toshiyasu Araiefficiency of testing. Static/dynamic analysis techniques are widely used to construct models for web applications. However, it is almost impossible to build a complete model for web applications by static analysis techniques since web applications are driven by events, and web pages are generated d

脫離

Toshiyasu Araice. Voice-based interaction like dialogue systems is the current emerging trend in these systems. Natural Language Understanding (NLU) model can identify the end-users’ intentions in the utterances provided to spoken dialogue systems. The utility of dialogue systems is reliant on the quality of NLU

面包屑

Toshiyasu Araid. To reduce the overhead, resource . has been proposed, which load resources ahead of time, instead of loading them on time when they are used. For commercial client device such as smart TV, it is reasonable for the browser of the client to do resource preloading. Existing client-only technique rem

聾子

Toshiyasu Araice. Voice-based interaction like dialogue systems is the current emerging trend in these systems. Natural Language Understanding (NLU) model can identify the end-users’ intentions in the utterances provided to spoken dialogue systems. The utility of dialogue systems is reliant on the quality of NLU

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