Combining Algebraic and Set-Theoretic Specifications (Extended Version)

  • Claus Hintermeier
  • Hélene Kirchner
  • Peter D. Mosses


Specification frameworks such as B and Z provide power sets and cartesian
products as built-in type constructors, and employ a rich notation for
defining (among other things) abstract data types using formulae of predicate
logic and lambda-notation. In contrast, the so-called algebraic specification
frameworks often limit the type structure to sort constants and
first-order functionalities, and restrict formulae to (conditional) equations.
Here, we propose an intermediate framework where algebraic specifications
are enriched with a set-theoretic type structure, but formulae remain in the
logic of equational Horn clauses. This combines an expressive yet modest
specification notation with simple semantics and tractable proof theory.
How to Cite
Hintermeier, C., Kirchner, H., & Mosses, P. (1996). Combining Algebraic and Set-Theoretic Specifications (Extended Version). BRICS Report Series, 3(52).