Formal Aspects of Computing

, Volume 13, Issue 3, pp 386–402

Dependently Typed Records in Type Theory

  • Robert Pollack
Original Paper

DOI: 10.1007/s001650200018

Cite this article as:
Pollack, R. Form Aspects Comput (2002) 13: 386. doi:10.1007/s001650200018


The language Pebble of Burstall and Lampson proposed dependent types as the underlying principle in a unified framework to explain facilities for programming in the large, such as modules and signatures, as well as for programming in the small. This proposal soon extended to large scale formal proof development as well. In fact, the functional approach to modularity has turned out to be a hard problem, which is still far from a fully satisfactory solution. This paper discusses aspects of this approach, including representations of records, informative signatures, sharing, and subtyping. My main contribution in this paper is to show that structures with dependent types and manifest fields (roughly ML style modules) are internally definable in a type theoretic framework extended with inductive-recursive definition. This shows that powerful modules follow from general principles without module-specific assumptions.

Keywords: Dependent types; Inductive-recursive; Manifest types; Module; Pebble; Signature; Sharing.

Copyright information

© Springer-Verlag London Limited 2002

Authors and Affiliations

  • Robert Pollack
    • 1
  1. 1.Durham University, UKGB