Axiomatizability of representable domain algebras

作者：Hirsch Robin; Mikulas Szabolcs^*

来源：Journal of Logic and Algebraic Programming, 2011, 80(2): 75-91.

DOI：10.1016/j.jlap.2010.07.019

• Domain algebras
• Relation algebras
• Finite axiomatizability

The family of domain algebras provide an elegant formal system for automated reasoning about programme verification. Their primary models are algebras of relations, viz, representable domain algebras. We prove that, even for the minimal signature consisting of the domain and composition operations, the class of representable domain algebras is not finitely axiomatizable. Then we show similar results for extended similarity types of domain algebras.

• 出版日期2011-2