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https://hdl.handle.net/2142/22388
Description
Title
State transformers and modes of computation
Author(s)
Carpenter, Bruce Franklin
Issue Date
1995
Doctoral Committee Chair(s)
Gray, John
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Computer Science
Language
eng
Abstract
State transformers, which form the objects in a subequalizing category, are a generalization of the transition functions of automata. The 2-categorical properties of subequalizers are developed and related to adjunctions in a 2-category. A calculus of monads in a 2-category is presented, and general lifting theorems are proved. Applications to constructions in categorical automata theory are given, and a representation theorem for strong monads into the monad of continuations is proved.
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