Abstract: We show that for each n and m, there is an existential first order sentence that is NOT logically equivalent to a sentence of quantifier rank at most m in infinitary logic augmented with all ...

Potential’ is an uncountable noun but almost everyone keeps counting and pluralising it. So, often, you hear some say ‘Nigeria has many potentials’, ‘The company has a lot of potentials’ etc. Yet, all ...

Smart rings are not new to the wearable space, but they've certainly been gaining steam in 2024. Here are some things you ...

Such problems can contain arbitrary quantifiers to express that some formula is supposed to hold for all or for some integers. Princess also contains theory modules for, among others, non-linear ...

Other times they become the figurehead of what was really a collective breakthrough. But if there was a true father of ...

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I didn’t want to drown the students in notation, so I didn’t give precise definitions of “property” and “formula”. Instead, I aimed to give them practical tools that would apply to situations they’re ...

Their names: the Quantifiers. Their weapon: the computer. Among some of the things that Management Sciences helped birth was the FICO credit scores, what would eventually become Mastercard ...