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https://hdl.handle.net/10316/11299
Title: | A logic of implications in algebra and coalgebra | Authors: | Adámek, Jirí Sobral, Manuela Sousa, Lurdes |
Issue Date: | 2007 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 07-15 (2007) | Abstract: | Implications in a category can be presented as epimorphisms: an ob- ject satis¯es the implication i® it is injective w.r.t. that epimorphism. G. Ro»cu formulated a logic for deriving an implication from other implications. We present two versions of implicational logics: a general one and a ¯nitary one (for epimor- phisms with ¯nitely presentable domains and codomains). In categories Alg § of algebras on a given signature our logic specializes to the implicational logic of R. Quackenbush. In categories Coalg H of coalgebras for a given accessible endofunctor H of sets we derive a logic for implications in the sense of P. Gumm. | URI: | https://hdl.handle.net/10316/11299 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
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A logic of implications in algebra and coalgebra.pdf | 252.42 kB | Adobe PDF | View/Open |
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