On Some Results in Quotient Boolean Algebra and Boolean Logic

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Authors

  • Kuheli Biswas
     Department of Philosophy, University of Kalyani, P.O.: Kalyani, Dist:Nadia, PIN:741235 ,IN
  • Sanjib Kumar Datta
     Department of Mathematics, University of Kalyani, P.O.: Kalyani, Dist:Nadia, PIN:741235 ,IN
Quotient Boolean Algebra, Boolean Logic, Principle of Duality, Ideal, Filter, Conjunctive Normal Form (CNF), Disjunctive Normal Form (DNF).

Abstract

The aim of this paper is to derive some results in quotient Boolean algebra and as a consequence also in Boolean logic. The work carried out in the present paper is in fact an extension of Behara, Biswas and Datta {cf.[1]}.

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Published

2019-11-01

How to Cite

Biswas, K., & Datta, S. K. (2019). On Some Results in Quotient Boolean Algebra and Boolean Logic. Indian Science Cruiser, 33(6), 11–16. Retrieved from https://informaticsjournals.com/index.php/ISC/article/view/38175

Issue

Volume 33, Issue 6, November 2019

Section

In Brief

 

References

Rinku Behara, Kuheli Biswas and Sanjib Kumar Datta, A Brief Study on Boolean Logic as a Dual Analogue of an Ideal, Indian Science Cruiser, Vol. 32, No. 6, November 2018, pp. 32-35.

Bradford Henry Arnold, Logic and Boolean Algebra, Prentice-Hall, 1962, pp. 1-144

George Boole, The Laws of Thought, , Release Date: July 19, 2017

George Boole, An Investigation of the Laws of Thought , Dover Publication , New York , 1958.

George Boole, The Laws of Thought , facsimile of 1854 edition , 1854/2003.