Mathematical logic

Herbrand structure

In first-order logic, a Herbrand structure S is a structure over a vocabulary σ that is defined solely by the syntactical properties of σ. The idea is to take the symbols of terms as their values, e.g. the denotation of a constant symbol c is just "c" (the symbol). It is named after Jacques Herbrand. Herbrand structures play an important role in the foundations of logic programming. (Wikipedia).

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Related pages

Herbrandization | Signature (logic) | Term (logic) | Logic programming | Resolution (logic) | Structure (mathematical logic) | Herbrand's theorem | Skolem normal form | First-order logic | Herbrand interpretation | Jacques Herbrand