Toward formal development of programs from algebraic specifications: Implementations revisited [chapter]

Donald Sannella, Andrzej Tarlecki
1987 Lecture Notes in Computer Science  
The program development process is viewed as a sequence of implementation steps leading from a specification to a program. Based on an elementary notion of refinement, two notions of implementation are studied: constructor implementations which involve a construction "on top of" the implementing specification, and abstractor implementations which additionally provide for abstraction from some details of the implemented specification. These subsume most formal notions of implementation in the
more » ... erature. Both kinds of implementations satisfy a vertical composition and a (modified) horizontal composition property. All the definitions and results generalise to the framework of an arbitrary institution.
doi:10.1007/3-540-17660-8_50 fatcat:zn4uy5v76ned3cezbr34fbmzby