SKU: 7323898665

Hyperidentities: Boolean and de Morgan Structures

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Description

Hyperidentities: Boolean and de Morgan StructuresHyperidentities are important formulae of second order logic, and research in hyperidentities paves way for the study of second order logic and second order model theory. This book illustrates many important current trends and perspectives for the field of hyperidentities and their applications, of interest to researchers in modern algebra and discrete mathematics. It covers a number of directions, including the characterizations of the Boolean

Hyperidentities are important formulae of second-order logic, and research in hyperidentities paves way for the study of second-order logic and second-order model theory.

 

This book illustrates many important current trends and perspectives for the field of hyperidentities and their applications, of interest to researchers in modern algebra and discrete mathematics. It covers a number of directions, including the characterizations of the Boolean algebra of n-ary Boolean functions and the distributive lattice of n-ary monotone Boolean functions; the classification of hyperidentities of the variety of lattices, the variety of distributive (modular) lattices, the variety of Boolean algebras, and the variety of De Morgan algebras; the characterization of algebras with aforementioned hyperidentities; the functional representations of finitely-generated free algebras of various varieties of lattices and bilattices via generalized Boolean functions (De Morgan functions, quasi-De Morgan functions, super-Boolean functions, super-De Morgan functions, etc); the structural results for De Morgan algebras, Boole-De Morgan algebras, super-Boolean algebras, bilattices, among others.

 

While problems of Boolean functions theory are well known, the present book offers alternative, more general problems, involving the concepts of De Morgan functions, quasi-De Morgan functions, super-Boolean functions, and super-De Morgan functions, etc. In contrast to other generalized Boolean functions discovered and investigated so far, these functions have clearly normal forms. This quality is of crucial importance for their applications in pure and applied mathematics, especially in discrete mathematics, quantum computation, quantum information theory, quantum logic, and the theory of quantum computers.

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SKU: 7323898665

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Love these socks so much, been buying them for about 4 years now!! Not giving them 5 stars anymore because the quality is different and not as good, durable and thick as before.
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The only no show socks I have ever found that do not slide down. These are very comfortable and the extra tab on the back provides comfort by keeping shoes from rubbing the back of your foot. The top of the sock also comes up high enough to cushion the top of your foot all while still remaining hidden while wearing tennis shoes or even with my hey dudes.
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