Declaration This dissertation is the result of my own work done under the guidance of my supervisor, and includes nothing which is the outcome of work done in collaboration except where specifically indicated in the text. This dissertation is not substantially the same as any that I have submitted or will be submitting for a degree or diploma or other qualification at this or any other Universi...

The behavioral equivalence of hidden terms in an equational specification logic is not itself specifiable in general (Buss and Roşu 2000). But much recent work has been done on its partial specification, in particular using coinduction. In this paper we consider the more general notion of conditional behavioral equivalence introduced by Reichel in 1984. We investigate the behavioral proof theor...

The purpose of this paper is threefold: to present a general abstract, yet practical, notion of equational system; to investigate and develop the finitary and transfinite construction of free algebras for equational systems; and to illustrate the use of equational systems as needed in modern applications.

The purpose of this paper is threefold: to present a general abstract, yet practical, notion of equational system; to investigate and develop the finitary construction of free algebras for equational systems; and to illustrate the use of equational systems as needed in modern applications.

derivations, equational logic and interpolation Gerard R. Renardel de Lavalette Department of Mathematics and Computing Science University of Groningen, the Netherlands Abstract. We define abstract derivations for equational logic and use them to prove the interpolation property. We define abstract derivations for equational logic and use them to prove the interpolation property.

Among the earliest publications of Evelyn Nelson are four papers which appeared in 1971—Nelson [1971a, 1971b] and Burris and Nelson [1971/72, 1971]. These papers contributed to our understanding of the intricate structural diversity of the lattice of equational theories. In particular, these papers revealed that large partition lattices occur as intervals in the lattice of equational theories o...