Introduction to Lattice Theory with Computer Science Applications 1st Edition by Garg | (PDF) Free Download

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A computational perspective on partial order and lattice theory, focusing on algorithms and their applicationsThis 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 theoryProvides end of chapter exercises to help readers retain newfound knowledge on each subjectIncludes supplementary material at www.ece.utexas.edu/~gargIntroduction to Lattice Theory with Computer Science Applications is written for students of computer science, as well as practicing mathematicians.

User’s Reviews

Editorial Reviews: Review “This nice book on lattices and their applications in computer science is written from the perspective of a computer scientist rather than a mathematician…Given its emphasis on algorithms and their complexity, it seems to be mainly intended for students of computer science and engineering. The author’s approach is based on the premise that a student needs to learn the heuristics that guide the proofs, besides the proofs themselves, and to learn ways to extend and analyze theorems…One of the most important and valuable features of the book is its focus on applications of lattice theory. The author intends to treat applications on par with the theory.” Altogether a “lovely book”. (Mathematical Reviews/MathSciNet April 2017) From the Inside Flap A computational perspective on partial order and lattice theory, focusing on algorithms and their applicationsThis 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 also the heuristics that guide these 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 theoryProvides end of chapter exercises to help readers retain newfound knowledge on each subjectIncludes supplementary material at www.ece.utexas.edu/~gargIntroduction to Lattice Theory with Computer Science Applications is written for students of computer science, as well as for practicing mathematicians. From the Back Cover A computational perspective on partial order and lattice theory, focusing on algorithms and their applicationsThis 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 also the heuristics that guide these 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 theoryProvides end of chapter exercises to help readers retain newfound knowledge on each subjectIncludes supplementary material at www.ece.utexas.edu/~gargIntroduction to Lattice Theory with Computer Science Applications is written for students of computer science, as well as for practicing mathematicians. About the Author Vijay K. Garg, PhD, is a Cullen Trust Endowed professor at the University of Texas at Austin. His research focuses on applications of lattice theory to distributed computing. He has worked in the areas of distributed systems and discrete event systems for the past thirty years. Dr. Garg is the author of Elements of Distributed Computing (Wiley, 2002), Concurrent and Distributed Computing in Java (Wiley, 2004) and Modeling and Control of Logical Discrete Event Systems (co-authored with Ratnesh Kumar). Read more

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