Computability of Boolean Algebras and Their Extensions.

Abstract

A Boolean algebra is computable if there is a one-to-one enumeration (O sub n) sub (n epsilon N) of its domain which associates recursive functions with sup, inf, and complement. A computable Boolean algebra B with enumeration (U sub n) is a constructive extension of its computable sub-algebra U with enumeration (O sub n) if there is a recursive function h such that (O sub n) = (U sub h(n)). (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1971
Accession Number
AD0729270

Entities

People

  • Donald A. Alton
  • Eugene W. Madison

Organizations

  • University of Iowa

Tags

DTIC Thesaurus Topics

  • Automata
  • Boolean Algebra
  • Functions (Mathematics)
  • Mathematics
  • Recursive Functions

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.