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Introduction to Lattice Theory with Computer Science Applications (Hardcover)
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Introduction to Lattice Theory with Computer Science Applications (Hardcover)
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A computational perspective on partial order and lattice theory,
focusing on algorithms and their applications This book provides a
uniform treatment of the theory and applications of lattice theory.
The applications covered include tracking dependency in distributed
systems, combinatorics, detecting global predicates in distributed
systems, set families, and integer partitions. The book presents
algorithmic proofs of theorems whenever possible. These proofs are
written in the calculational style advocated by Dijkstra, with
arguments explicitly spelled out step by step. The author s intent
is for readers to learn not only the proofs, but the heuristics
that guide said proofs. Introduction to Lattice Theory with
Computer Science Applications: * Examines; posets, Dilworth s
theorem, merging algorithms, lattices, lattice completion,
morphisms, modular and distributive lattices, slicing, interval
orders, tractable posets, lattice enumeration algorithms, and
dimension theory * Provides end of chapter exercises to help
readers retain newfound knowledge on each subject * Includes
supplementary material at www.ece.utexas.edu/~garg Introduction to
Lattice Theory with Computer Science Applications is written for
students of computer science, as well as practicing mathematicians.
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