Abstract
In this chapter we study n-ary partial functions f n (x1,…,x n ) (n = 1, 2,…) over natural numbers, i.e., functions whose domains are subsets of N n and whose values are natural numbers. We say that f n (x1,…,x n ) is defined if 〈x1,…,x n 〉 ∈ δ fn and undefined otherwise. For any a1,…,a n ∈ N and any partial functions f k and g s we write (a i 1,…,a ik ) = g(a j 1,…,a js ) if the corresponding values are both undefined or if they both exist and coincide. An n-ary function f n (x1,…,x n ) is called total if δ fn = N n .
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
