Abstract
We present an algebraic formalization of the notion of mixin module, i.e. a module where the definition of some components is deferred. Moreover, we define a set of basic operators for composing mixin modules, intended to be a kernel language with clean semantics in which to express more complex operators of existing modular languages, including variants of inheritance in object oriented programming. The semantics of the operators is given in an “institution independent” way, i.e. is parameterized on the semantic framework modeling the underlying core language.
This work has been partially supported by WG n.6112 COMPASS, Murst 40% — Modelli della computazione e dei linguaggi di programmazione and CNR, Italy.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
J. Adámek, H. Herrlich, and G. Strecker. Abstract and Concrete Categories. Pure and Applied Mathematics. Wiley Interscience, New York, 1990.
D. Ancona and E. Zucca. A theory of mixin modules. In preparation.
D. Ancona and E. Zucca. A formal framework for modules with state. In AMAST '96, LNCS, 1101, pages 148–162, 1996. Springer Verlag.
J.A. Bergstra, J. Heering, and P. Klint. Module algebra. Journ. ACM, 37(2):335–372, 1990.
M. Bidoit and A. Tarlecki. Behavioural satisfaction and equivalence in concrete model categories. In CAAP '96, LNCS, 1059, pages 241–256, 1996. Springer Verlag.
G. Bracha. The Programming Language JIGSAW: Mixins, Modularity and Multiple Inheritance. PhD thesis, Dept. Comp. Sci., Univ. Utah, 1992.
G. Bracha and W. Cook. Mixin-based inheritance. In ACM Symp. on Object-Oriented Programming: Systems, Languages and Applications 1990, pages 303–311. ACM Press, October 1990. SIGPLAN Notices, 25, 10.
W. Cook. A Denotational Semantics of Inheritance. PhD thesis, Dept. Comp. Sci. Brown University, 1989.
R. Diaconescu, J. Goguen, and P. Stefaneas. Logical support for modularisation. In Gerard Huet and Gordon Plotkin, editors, Logical Environments, pages 83–130, Cambridge, 1993. University Press.
H. Ehrig and B. Mahr. Fundamentals of Algebraic Specification 1. Equations and Initial Semantics, volume 6 of EATCS Monograph in Computer Science. Springer Verlag, 1985.
J.A. Goguen and R.M. Burstall. Institutions: Abstract model theory for computer science. Journ. ACM, 39:95–146, 1992.
B. Meyer. Genericity versus inheritance. In ACM Symp. on Object-Oriented Programming: Systems, Languages and Applications 1986, pages 391–405. ACM Press, November 1986. SIGPLAN Notices, 21, 11.
R. Milner, M. Tofte, and R. Harper. The Definition of Standard ML. The MIT Press, Cambridge, Massachusetts, 1990.
D. Sannella and A. Tarlecki. Model-theoretic foundations for formal program development: Basic concepts and motivation. Technical Report ICS PAS 791, Inst. Comp. Sci. PAS, Warsaw, 1995.
E. Zucca. From static to dynamic abstract data-types. In Mathematical Foundations of Computer Science 1996, LNCS, 1113, Berlin, 1996. Springer Verlag.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ancona, D., Zucca, E. (1996). An algebraic approach to mixins and modularity. In: Hanus, M., Rodríguez-Artalejo, M. (eds) Algebraic and Logic Programming. ALP 1996. Lecture Notes in Computer Science, vol 1139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61735-3_12
Download citation
DOI: https://doi.org/10.1007/3-540-61735-3_12
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-61735-8
Online ISBN: 978-3-540-70672-4
eBook Packages: Springer Book Archive