First in Orbit input is used in Algorithm 1's backtrack search, which uses a group G with a basis of [I, 2.....k]. a powerful generating set S, a decidable property P, and a subset of its components. A powerful generating set with respect to B for the subgroup K =H(P) is produced. procedure generate( G : group; P : property; s : 1..k+l; i : 1..k+l; [71, 72 ..... 7i-1] : initial segment of base image; var K : group ); (* Generate the elements of G (s) whose base image start with [71, 72 ..... 7i-1] and that may have property P. If one is found then extend K, the subgroup of G (s) of elements with property P that have already been found, and return to search.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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First in Orbit input is used in Algorithm 1's backtrack search, which uses a group G with a basis of [I, 2.....k]. a powerful generating set S, a decidable property P, and a subset of its components.
A powerful generating set with respect to B for the subgroup K =H(P) is produced.

procedure generate( G : group; P : property; s : 1..k+l; i : 1..k+l; [71, 72 ..... 7i-1] : initial segment of base image; var K : group );
(* Generate the elements of G (s) whose base image start with [71, 72 ..... 7i-1] and that may have property P. If one is found then extend K, the subgroup of G (s) of elements with property P that have already been found, and return to search. 

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