Some fundamentals of order-algebraic semantics

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Abstract

The order-theoretic enrichment of the algebraic approach to theoretical computer science, and to the theory of programming in particular, can be accomplished rather directly and elegantly, and appears to have a wide range of applications. This paper presents mathematical fundamentals of order-algebraic semantics. The principal new results concern free continuous algebraic theories and minimal conditions for solving general "systems of (recursive) equations" in algebraic theories.

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Wagner, E. G., Wright, J. B., Goguen, J. A., & Thatcher, J. W. (1976). Some fundamentals of order-algebraic semantics. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 45 LNCS, pp. 153–168). Springer Verlag. https://doi.org/10.1007/3-540-07854-1_169

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