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In the late nineteen-fifties, a new class of languages was developed to give computers the capacity for reflection.
They then prove several results about that class of languages, results that involve the defined concept of logical constant.
Cook et al. (2014) showed that CC is also the class of languages decided by polynomial size comparator circuit families.
The difference is that it deals with a different class of languages, which contain concepts with bounded modal depth.
As indicated, a semantic theory for a class of languages defines a notion of an interpretation for those languages and, in particular, a definition of truth.
It seems safe to assume that the definition can be applied to a large class of languages in the classical hierarchy of quantificational languages.
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It's this class of language that talks about things that we ordinarily can't talk about without a degree of embarrassment or shame or dread.
These days, we have two classes of languages.
Moreover, Matthews ignores (as most linguists have) the existence of large and interesting classes of languages that are text-identifiable.
There is no apparent obstacle to applying (ii) to wider classes of languages than the class considered for special purposes of their investigation by Tarski and Givant.
But the failure of text-identifiability for certain classes of languages is different from underdetermination in a very important way, because there are infinite classes of infinite languages that are identifiable from text.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
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