In many-sorted logic, the choice of whether sorts must be non-empty, disjoint, or allow subsort relations introduces semanticunderdetermination not present in single-sorted first-order logic.
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Categories or types that organize different kinds of objects in a logical system—like having separate boxes for 'people,' 'numbers,' and 'colors' instead of mixing everything together.
Subsort relations(as used in formal logic)
Connections where one category is a smaller part of another, like how 'dogs' is a subsort of 'animals.'
many-sorted logic(Logic foundations and translations)
A logic that accommodates reasoning about more than one sort (type) of objects, generalizing first-order logic by allowing multiple base types.