BOOK-CHAPTER
Order, Lattices, And Boolean Algebras
Abstract
Abstract In the current chapter, we present a very special and useful class of mathematical structures, which play an important role in the algebraic description of logic. These structures, called lattices, can be characterized both as relational structures (pertaining to the notion of implication), and as algebraic structures (pertaining to the notions of conjunction and disjunction)..
Keywords:
Algebraic structure Class (philosophy) Conjunction (astronomy) Order (exchange) Algebraic number Algebra over a field Mathematics Computer science Pure mathematics Artificial intelligence Physics
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Topics
Advanced Algebra and Logic
Physical Sciences → Computer Science → Computational Theory and Mathematics
Logic, Reasoning, and Knowledge
Physical Sciences → Computer Science → Artificial Intelligence
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