Open questions related to the problem of Birkhoff and Maltsev
Studia Logica 78 (1-2):357 - 378 (2004)
| Abstract | The Birkhoff-Maltsev problem asks for a characterization of those lattices each of which is isomorphic to the lattice L(K) of all subquasivarieties for some quasivariety K of algebraic systems. The current status of this problem, which is still open, is discussed. Various unsolved questions that are related to the Birkhoff-Maltsev problem are also considered, including ones that stem from the theory of propositional logics. | |||||||||
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Gonzalo Rodriguez-Pereyra (2000). What is the Problem of Universals? Mind 109 (434):255-273.
Mark Sprevak (2005). The Frame Problem and the Treatment of Prediction. In L. Magnani & R. Dossena (eds.), Computing, Philosophy and Cognition.
Gabriel Vacariu (2011). The Mind-Body Problem Today. Open Journal of Philosophy 1 (1):26-34.
Thomas Mormann (1998). Continuous Lattices and Whiteheadian Theory of Space. Logic and Logical Philosophy 6:35 - 54.
Mihai Codescu & Daniel Găină (forthcoming). Birkhoff Completeness in Institutions. Logica Universalis.
Gyula Klima, The Medieval Problem of Universals. Stanford Encyclopedia of Philosophy.
Răzvan Diaconescu (2004). An Institution-Independent Proof of Craig Interpolation Theorem. Studia Logica 77 (1):59 - 79.
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