Algebraic Theories and Program Schemes

Calvin C. Elgot

A chapter in Selected Papers, 1982, pp 139-156 from Springer

Abstract: Abstract The objective of this paper is to point out that the “semantics” of cycle-free program schemes (of the kind intuitively described in Section 2) may be explicated by existing algebraic notions. More explicitly, equivalence classes of schemes correspond to morphisms in a free algebraic theory (cf., Lawvere (1963), and Eilenberg and Wright (1967)), and an interpretation of the collection of morphisms is a coproduct-preserving functor into an appropriate target category.

Keywords: Isomorphism Class; Partial Function; Algebraic Theory; Program Scheme; Unique Extension (search for similar items in EconPapers)
Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-8177-8_4

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DOI: 10.1007/978-1-4613-8177-8_4

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