Title
Intuitionistic vs. classical tautologies, quantitative comparison
Abstract
We consider propositional formulas built on implication. The size of a formula is the number of occurrences of variables in it. We assume that two formulas which differ only in the naming of variables are identical. For every n ∈ N, there is a finite number of different formulas of size n. For every n we consider the proportion between the number of intuitionistic tautologies of size n compared with the number of classical tautologies of size n. We prove that the limit of that fraction is 1 when n tends to infinity.
Year
DOI
Venue
2007
10.1007/978-3-540-68103-8_7
TYPES
Keywords
Field
DocType
intuitionistic tautology,finite number,different formula,quantitative comparison,propositional formula,classical tautology,size n
Intuitionistic logic,Boolean function,Discrete mathematics,Tautology (logic),Finite set,Computer science,Catalan number,Infinity,Classical logic,Propositional formula
Conference
Volume
ISSN
ISBN
4941
0302-9743
3-540-68084-5
Citations 
PageRank 
References 
11
0.90
10
Authors
3
Name
Order
Citations
PageRank
Antoine Genitrini16812.06
Jakub Kozik211113.58
Marek Zaionc311117.27