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How Much Expressive Power Is Needed for Natural Language Temporal Indexicality?

机译:自然语言的时间索引性需要多少表达能力?

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The paper studies how much expressive power beyond the capabilities of the simple Priorean temporal language Kt is needed to give proper translation to natural language examples by Kamp and Vlach which are extensively used in the linguistic and philosophical literature as forcing the use of quite expressive languages, all the way up to full two sorted FOL. It turns out that when examined carefully, the examples in question only require a quite mild Kamp- and Cresswell-style system with now and then operators, or, equivalently, hybrid Kt + ↓ + @. The paper generalizes the earlier results showing that in the propositional case, now and then do not increase the power of Kt. For the first-order case, a notion of FOL path bisimulation for first-order Kf t with untensed quantification and equality is defined, and it is demonstrated how to prove that a particular NL sentence cannot be expressed in Kf ° through non-preservation under FOL path bisimulation. It is also shown that Kf ° plus now and then is still strictly less expressive than HL(|, @), which is itself much less expressive than the strong systems that were claimed to be needed for NL translation. Thus the paper provides strict lower and upper bounds on the expressivity of the translation language forced by Kamp-Vlach NL sentences, and the upper bound turns out to be much lower than was widely believed in the linguistics community.
机译:本文研究了简单的Priorean时态语言Kt所需要的表达能力,以便正确地翻译Kamp和Vlach的自然语言示例,这些示例在语言和哲学文献中被广泛使用,迫使使用相当具有表现力的语言,一直到完整的两个已排序FOL。事实证明,如果仔细检查,所讨论的示例仅需要一个非常温和的Kamp和Cresswell风格的系统,该系统带有不时的运算符,或者等效地,是混合Kt +↓+ @。本文对早期结果进行了概括,表明在命题情况下,现在并没有增加Kt的功效。对于一阶情况,定义了具有未量化和相等性的一阶Kf t的FOL路径双仿真的概念,并演示了如何通过在以下条件下的非保留来证明特定的NL语句不能以Kf°表示。 FOL路径双重仿真。还表明,Kf°plus有时仍然严格低于HL(|,@)的表达,而HL(|,@)本身的表达却远低于NL翻译所需的强大系统。因此,本文对由Kamp-Vlach NL句子强制执行的翻译语言的表现力提供了严格的上下限,并且其上限远远低于在语言学界普遍认为的范围。

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