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Sequence Factory: Families of Integer Sequences Generated by Gödel Implication
Volkan Yildiz
A finite Gödel chain generates not one integer sequence but a large family of them. The combinatorial mechanism is developed in a companion paper; here the sequences themselves are…
Gödel Implication on Finite Chains: Catalan Enumeration and a Continuum Limit Law
Volkan Yildiz
We study the distribution of output values produced by all fully bracketed implication terms on distinct variables in Gödel -valued logic on the finite chain . The Cata…
Notes on the Divisibility of Divisor Sums of Catalan Numbers
Volkan Yildiz
We investigate divisibility questions for the sum-of-divisors function of the Catalan numbers . Using the prime factors occurring to exponent…
Some divisibility properties of Jacobsthal numbers
Volkan Yildiz
In this paper we investigate some divisibility properties of Jacobsthal numbers.
Notes on algebraic structure of truth tables of bracketed formulae connected by implications
Volkan Yildiz
In this paper we investigate the algebraic structure of the truth tables of all bracketed formulae with n distinct variables connected by the binary connective of implication.
General combinatorical structure of truth tables of bracketed formulae connected by implication
Volkan Yildiz
In this paper we investigate the general combinatorical structure of the truth tables of all bracketed formulae with n distinct variables connected by the binary connective of impl…
Counting false entries in truth tables of bracketed formulae connected by m-implication
Volkan Yildiz
In this paper we count the number of rows yn with the value "false" in the truth tables of all bracketed formulae with n distinct variables connected by the binary connective of 2m…
Catalan Tree & Parity of some sequences which are related to Catalan numbers
Volkan Yildiz
In this paper we determine the parity of some sequences which are related to Catalan numbers. Also we introduce a combinatorical object called, \Catalan tree", and discuss its prop…