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Lattice functions and equations

By: Rudeanu, Sergiu

Part of the Discrete mathematics and theoretical computer science series
1852332662 / 9781852332662
Usually dispatched within 4 weeks
24 cm 448p.
postgraduate  Learn More research & professional undergraduate

Lattice (Boolean) functions are algebraic functions defined over an arbitrary lattice (Boolean algebra), while lattice (Boolean) equations are equations expressed in terms of lattice (Boolean) functions.This self-contained monograph surveys recent developments of Boolean functions and equations, as well as lattice functions and equations in more general classes of lattices; a special attention is paid to consistency conditions and reproductive general solutions.The contents include:- equational compactness in semilattices and Boolean algebras;- the theory of Post functions and equations (which is very close to that of Boolean functions and equations);- a revision of Boolean fundamentals;- closure operators on Boolean functions;- the decomposition of Boolean functions;- quadratic truth equations;- Boolean differential calculus;- Boolean geometry and other topics.There is also a chapter on equations in a very general sense.

Applications refer to graph theory, automata theory, synthesis of circuits, fault detection, databases, marketing and others.


PBCD Mathematical logic, PBF Algebra

Our price£109.99
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