By Kochman S.D.
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E. Nagle, J. A. Nagle, L. L. Gerholz, P. W. ): Conceptual Structures: Current Research and Practice. Ellis Horwood, 1992, 3-51. [VW03] B. Vormbrock, R. Wille: Semiconcept and Protoconcept Algebras: The Basic Theorems. FB4-Preprint, TU Darmstadt, 2003. [Wi97] R. Wille: Conceptual Graphs and Formal Concept Analysis. In: D. Lukose, H. Delugach, M. Keeler, L. Searle, J. ): Conceptual Structures: Fulfilling Peirce’s Dream. Springer, Berlin - Heidelberg - New York 1997, 290 - 303. [Wi00a] R. Wille: Boolean Concept Logic.
In order to prove this, for each S ∈ C(Simp (K)) we need to find an (ag )g∈G with ϕ((ag )g∈G ) = S. (g, p) ∈ S}, and for each g ∈ A we consider the set Pg := {p ∈ P(K) | (g, p) ∈ S}. Since S is a closure, we obtain for each g ∈ G that {g} × Pg ⊆ S, thus (g, Pg ) ∈ S. Since Pg is a −semiconcept by definition, we have Pg ∈ hg and hence Pg = [ Pg ). Therefore, S = g∈A {g} × [ Pg ). Protoconcept Graphs: The Lattice of Conceptual Contents 23 Finally, we set (ag )g∈G with ag = (g, Pg ) if g ∈ A if g ∈ / A.
Conceptual Structures: Integration and Interfaces, Springer Verlag, Berlin–New York 2002, 382-396. R. Wille: Conceptual Content as Information - Basics for Contextual Judgment Logic. In: A. de Moor, W. Lex, B. ): Conceptual Structures for Knowledge Creation and Communication. Springer Verlag, Berlin–New York 2003, 1-15. uk 1 Introduction In this paper we propose a semiotic conceptual framework which is compatible with Peirce’s definition of signs and uses formal concept analysis for its conceptual structures.
Stable Homotopy Groups of Spheres: A Computer-Assisted Approach by Kochman S.D.
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