Title
A Finite Basis of the Set of All Monotone Partial Functions Defined over a Finite Poset
Abstract
Let X be an arbitrary poser. A partial function f with n variables defined over X is said to be monotone if the following condition is satisfied: if x(1) less than or equal to y(1), ..., x(n) less than or equal to y(n), and both the values f(x(1), ..., x(n)) and f(y(1), ..., y(n)) are defined, then f(x(1), ..., x(n)) less than or equal to f(y(1), ..., y(n)), It is shown that the set of all monotone partial functions has a finite basis.
Year
DOI
Venue
1998
10.1109/ISMVL.1998.679518
ISMVL
Keywords
Field
DocType
monotone partial,finite poset,finite basis,formal logic,satisfiability,partial function,set theory,computer science
Set theory,Discrete mathematics,Combinatorics,Monotone polygon,Partial function,Partially ordered set,Mathematics
Conference
ISSN
ISBN
Citations 
0195-623X
0-8186-8371-6
3
PageRank 
References 
Authors
0.83
1
2
Name
Order
Citations
PageRank
A. Nozaki164.80
V. Lashkia281.83