4 papers
Translation Monoids and Recursive Evaluation in Finite Binary Algebras
Volkan Yildiz
Let \(A=(A,\star)\) be a finite binary algebra, not necessarily associative. For each \(n\geq 1\), every full binary bracketing on \(x_1,\dots,x_n\) determines an \(n\)-ary term op…
Godel Implication on Finite Chains: Truth Tables and Catalan-Bracketing Enumerations
Volkan Yildiz
Fully bracketed implication terms on variables are evaluated in Gödel -valued logic on a finite chain, and we enumerate truth-table rows by output value across all Catalan…
Heraclitean Dialectical Concept Space
Volkan Yildiz
We introduce Heraclitean Dialectical Concept Spaces (HDCS), a topological framework for modelling how concepts evolve. Concepts are represented as open regions generated by neighbo…
Notes on Divisibility of Catalan Numbers
Volkan Yildiz
We investigate the divisibility properties of Ï(C_n), the sum-of-divisors function applied to Catalan numbers, in relation to other number-theoretic functions. We establish condit…