A Journey from Total to Partial Algebras

Uwe Wolter

(Bergen)

Partial Algebras have the reputation of being difficult in theory and
practice. Their bad reputation arises from the fact that many concepts
known from Total Algebras split up into at least three different
concepts in the context of Partial Algebras.

In our talk we argue that partiality is not too complicated at all.
Especially if seen from Algebraic Specification, Partial Algebras turn
out to be only slighty more difficult to understand and to use than
Total Algebras.

We revise basic concepts and constructions such as algebra,
homomorphism, subalgebra, congruence, quotient algebra, initial
algebra, (conditional) equations,..., and discuss the changes emerging
by moving from Total Algebras to Partial Algebras.
Thursday 25th May 2006, 14:00
Robert Recorde Room
Department of Computer Science