How To Use Boolean algebra In A Sentence
- According to Huntington (1933), the term “Boolean algebra” was introduced by Sheffer (1913) in the paper where he showed that one could give a five-equation axiomatization of Boolean algebra using the single fundamental operation of joint exclusion, now known as the Sheffer stroke. The Algebra of Logic Tradition
- The study of Boolean algebras has several aspects: structure theory, model theory of Boolean algebras, decidability and undecidability questions for the class of Boolean algebras, and the indicated applications. The Mathematics of Boolean Algebra
- They relate Boolean algebras to general topology and to the theory of rings and ideals, and include what is called Stone-tech compactification today.
- The minimal path sets (MPS) are achieved by Boolean algebraic simplification calculation. The authors put forward the analyzing result of the structural significance of the basic event.
- The very next year the note ‘Subsumption of Boolean algebras under the theory of rings’ appeared in the same journal.
- We should remark that this problem is non-trivial since deciding whether a finite set of equations provides a basis for Boolean algebra is undecidable, that is, it does not permit an algorithmic representation; also, the problem was attacked by Robbins, Huntington, Tarski and many of his students with no success. Automated Reasoning
- They are the basis of mathematical logic, which in turn gives rise to Boolean algebra.
- These two processes are inverses of one another, and show that the theory of Boolean algebras and of rings with identity in which every element is idempotent are definitionally equivalent.
- Thus his calculus of relations became the study of a certain equational theory which he noted had the same relation to the study of all binary relations on sets as the equational theory of Boolean algebra had to the study of all subsets of sets. The Algebra of Logic Tradition
- The study of Boolean algebras has several aspects: structure theory, model theory of Boolean algebras, decidability and undecidability questions for the class of Boolean algebras, and the indicated applications. The Mathematics of Boolean Algebra
