Coherence of the double involution on -autonomous categories.
Cockett, J.A.B., Hasegawa, M., Seely, R.A.G. (2006)
Theory and Applications of Categories [electronic only]
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Cockett, J.A.B., Hasegawa, M., Seely, R.A.G. (2006)
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Theory and Applications of Categories [electronic only]
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The categorical concept of a theory for algebras of a given type was foundet by Lawvere in 1963 (see [8]). Hoehnke extended this concept to partial heterogenous algebras in 1976 (see [5]). A partial theory is a dhts-category such that the object class forms a free algebra of type (2,0,0) freely generated by a nonempty set J in the variety determined by the identities ox ≈ o and xo ≈ o, where o and i are the elements selected by the 0-ary operation symbols. If the object class of a dhts-category...
Kimmo I. Rosenthal (1993)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Theory and Applications of Categories [electronic only]
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Constantin Thiopoulos (1992)
Mathématiques et Sciences Humaines
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The rationalistic denotational approach to semantics is not adequate for capturing the structural dimension of meaning, which is immanent in semiotic systems. The demand for a structural approach to semantics is intensified by a turn in Artificial Intelligence, introduced by Connectionism and Information Retrieval. This paper presents such a structural approach to semantics founded on the phenomenological and autopoietic paradigms and proposes a formalization with the help of category...