Typed Homomorphic Relations Extended with Subtypes

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1991-06-01
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Leavens, Gary
Pigozzi, Don
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Computer Science

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.

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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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Abstract

Typed homomorphic relations on heterogeneous algebras are generalized to allow relationships between elements in the carrier sets of different types. Such relations are needed for the model theory of incomplete, hierarchical specifications with subtypes. Typed logical relations are generalized similarly. These tools help give a simple model-theoretic account of subtyping among abstract data types as observed by terms of a simply-typed lambda-calculus with subtypes.

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© Springer-Verlag

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