Math 2.0

General algebraic systems Terms, identities and equational logic Concept

Term evaluation

Summary

Term evaluation computes the value of a term in an algebra once each variable has been given a value. The value is defined by recursion on the term. Variables take their assigned values, and a function symbol applied to subterms is computed with the matching operation of the algebra. It is the bridge between syntax and algebra: identities, term operations and the free algebras of a variety are all defined through it.

Where this leads

3 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Term_(logic)
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TagDH30WTA26T
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MSC08A40, 03C07
Changed2 November 2026

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