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Calculating the size of the [negation,disjunction] fragment of intuitionistic logic

R.S.R. Zijlstra, (2014) Calculating the size of the [negation,disjunction] fragment of intuitionistic logic. Bachelor's Thesis, Computing Science.

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Abstract

The Dedekind Numbers dn, named after the German mathematician Richard Dedekind (October 6, 1831 - February 12, 1916), is a sequence of integers which grows very fast. The number dn are the number of monotone subsets of the powerset of a set with n elements. The latest known number in this series is d8 = 56,130,437,228,687,557,907,788. Recently A.T. Zijlstra recreated the method of computing this number with the method of D. Wiedemann. The method was implemented in C++ and parallelized using MPI. This thesis will focus on the calculation of a different sequence. Intuitionistic logic is a logic which differs from classical logic. The number of non-equivalent formulae in this logic is infinite but when we restrict the connectives used in the formulae the number of non-equivalent formulae becomes finite. We will focus only on the negation and disjunction connectives. We will calculate the size of this logic utilizing an extension of Wiedemann's method.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Computing Science
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 08:01
Last Modified: 15 Feb 2018 08:01
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/12314

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