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In Update Semantics for DPL, we represent information states as sets of assignments and we represent transitions as functions from sets of assignments to sets of assignments.
(As above, we can think of the semantic value of a quantifier as a function from sets of assignments to sets of assignments).
Sets of assignments are called teams and the semantics is called team semantics.
In Väänänen's logics it is easy to see why one needs sets of assignments.
We can think of the semantic value of an \(n\ -ary quan\ -ary or sentential connective \(C\) on a domain \(D\) as a function from \(n\)-tuples of sets of assignments (of values from \(D\) to the language's variables) to sets of assignments.
Logics of dependence and independence have semantics that, unlike Tarski semantics, are not based on single assignments (mapping variables to elements of a structure) but on sets of assignments.
Similar(49)
The Police Department will use an existing cadre of officers who are also qualified as bus drivers to carry out a prearranged set of assignments, so 911 operators can be driven to their office in a transit shutdown.
The information received is a set of assignments.
Table 1 shows the setting of assignments at each level.
The information state is an assignment (environment) or a set of assignments.
Well, the meaning of A man comes in is a set of assignments.
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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.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com