Graduate studies at Western
Studia Logica 78 (1-2):129 - 153 (2004)
|Abstract||Based on existence equations, quasivarieties of heterogeneous partial algebras have the same algebraic description as those of total algebras. Because of the restriction of the valuations to the free variables of a formula — the usual reference to the needed variables e.g. for identities (in order to get useful and manageable results) is essentially replaced here by the use of the logical Craig projections — already varieties of heterogeneous partial algebras behave to some extent rather like quasivarieties than having the properties known from varieties of total homogeneous algebras. It is one of the main aims of this note to make this more explicit. On the other hand we want to list several results known for quasivarieties of heterogeneous partial algebras — and adopt them to the extended signature — after having recalled the language and the main concepts necessary for the understanding of the results.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Roberto Cignoli & Antoni Torrens Torrell (2006). Free Algebras in Varieties of Glivenko MTL-Algebras Satisfying the Equation 2(X2) = (2x). Studia Logica 83 (1-3):157 - 181.
Wlesław Dziobiak (1982). Concerning Axiomatizability of the Quasivariety Generated by a Finite Heyting or Topological Boolean Algebra. Studia Logica 41 (4):415 - 428.
Alexei Vernitski (2004). Finite Quasivarieties and Self-Referential Conditions. Studia Logica 78 (1-2):337 - 348.
Bogdan Staruch (2009). Hsp-Type Characterization of Strong Equational Classes of Partial Algebras. Studia Logica 93 (1):41 - 65.
M. Campercholi, D. Castaño & J. P. Díaz Varela (2011). Quasivarieties and Congruence Permutability of Łukasiewicz Implication Algebras. Studia Logica 98 (1-2):267-283.
Jaap van Oosten (2011). Partial Combinatory Algebras of Functions. Notre Dame Journal of Formal Logic 52 (4):431-448.
Roger D. Maddux (1989). Nonfinite Axiomatizability Results for Cylindric and Relation Algebras. Journal of Symbolic Logic 54 (3):951-974.
Viggo Stoltenberg-Hansen & John V. Tucker (2003). Computable and Continuous Partial Homomorphisms on Metric Partial Algebras. Bulletin of Symbolic Logic 9 (3):299-334.
Ingemarie Bethke (1987). On the Existence of Extensional Partial Combinatory Algebras. Journal of Symbolic Logic 52 (3):819-833.
A. Ledda, T. Kowalski & F. Paoli (2011). On Certain Quasivarieties of Quasi-MV Algebras. Studia Logica 98 (1-2):149-174.
Added to index2009-01-28
Total downloads2 ( #246,694 of 739,368 )
Recent downloads (6 months)1 ( #61,680 of 739,368 )
How can I increase my downloads?