Blended Algebraic and Denotational Semantics for ADT Languages with Mutable Objects

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1994-09-01
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Leavens, Gary
Dhara, Krishna
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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

This paper presents a semantics for a simple language that is a blend of algebraic models and traditional denotational semantics. In this semantics, implementations of user-defined abstract data types are "compiled" into an algebraic structure, which is used by the denotational part of the semantics whenever an operation of the data type is invoked. To show the utility of such a semantics, an algebraic characterization of simulation between states over such algebras is given, and it is shown that simulation is preserved by expressions and commands in the language. (Note: versions TR93-21 and TR93-21a were titled: "A Model Theory for Abstract Data Types with Mutable Objects (extended abstract)".)

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© Gary T. Leavens and Krishna Kishore Dhara, 1993, 1994. All rights reserved.

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