Abstract

ACL2 is used to systematically study domains whose elements can be uniquely factored into products of elements. The best known examples of such domains are the positive integers, which can be factored into products of primes, and univariate polynomials with rational coefficients, which can be factored into products of irreducible polynomials. There are many other such domains.Euclidean domains are an algebraic abstraction, of both the positive integers and the rational polynomials, in which the usual proofs of unique factorization, for both the integers and the polynomials, can be generalized.

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