Subsets, quotients and partial functions in martin-löf's type theory

Authors:
Jesper Carlström
Affiliations:
Department of Mathematics, Stockholm University
Venue:
TYPES'02 Proceedings of the 2002 international conference on Types for proofs and programs
Year:
2002

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Abstract

We treat subsets, equivalence relations, and partial functions, with subsets as propositional functions.In order for these three notions to work well together, we propose some changes to the theory of subsets as propositional functions.The method used is not to make any changes to the type theory itself, but to view the new concepts as defined ones.