A Complete Algebraic Characterization of Behavioral Subtyping
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Computer Science—the theory, representation, processing, communication and use of information—is fundamentally transforming every aspect of human endeavor. The Department of Computer Science at Iowa State University advances computational and information sciences through; 1. educational and research programs within and beyond the university; 2. active engagement to help define national and international research, and 3. educational agendas, and sustained commitment to graduating leaders for academia, industry and government.
History
The Computer Science Department was officially established in 1969, with Robert Stewart serving as the founding Department Chair. Faculty were composed of joint appointments with Mathematics, Statistics, and Electrical Engineering. In 1969, the building which now houses the Computer Science department, then simply called the Computer Science building, was completed. Later it was named Atanasoff Hall. Throughout the 1980s to present, the department expanded and developed its teaching and research agendas to cover many areas of computing.
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1969-present
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- College of Liberal Arts and Sciences (parent college)
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Abstract
We present a model-theoretic study of correct behavioral subtyping for first-order, deterministic, abstract data types with immutable objects. For such types, we give a new algebraic criterion for proving correct behavioral subtyping that is both necessary and sufficient. This proof technique handles incomplete specifications by allowing proofs of correct behavioral subtyping to be based on comparison with one of several paradigmatic models. It compares a model to a selected paradigm with a generalization of the usual notion of simulation relations. This generalization is necessary for specifications that are not term-generated and that use multiple dispatch. However, we also show that the usual notion of simulation gives a necessary and sufficient proof technique for the special cases of term-generated specifications and specifications that only use single dispatch.
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Copyright © Gary T. Leavens and Don Pigozzi, 1996.