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11 - Computer Science and Informatics
University College London
Axiomatizability of representable domain algebras
<10> Domain Algebra is a formalism for binary relations that act as suitable algebras for program verification. This paper resolved an open question concerning axiomatisability, by showing that the representable ones (the ones of interest in verification) cannot be characterised by finitely many axioms. This result influenced the quest for new versions of Domain Algebra; in particular, subsequent work of the same authors (Ordered Domain Algebras, Journal Applied Logic'13) identified a more expressive class of algebras which were finitely axiomatisable.
It also influenced further work in papers of of Moller, Ball, Jackson, Jipson and Stokes on domain algebra.