Timed Boolean Functions

Timed Boolean Functions
Author: William K.C. Lam
Publisher: Springer Science & Business Media
Total Pages: 290
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1461526884

Timing research in high performance VLSI systems has advanced at a steady pace over the last few years, while tools, especially theoretical mechanisms, lag behind. Much present timing research relies heavily on timing diagrams, which, although intuitive, are inadequate for analysis of large designs with many parameters. Further, timing diagrams offer only approximations, not exact solutions, to many timing problems and provide little insight in the cases where temporal properties of a design interact intricately with the design's logical functionalities. This book presents a methodology for timing research which facilitates analy sis and design of circuits and systems in a unified temporal and logical domain. In the first part, we introduce an algebraic representation formalism, Timed Boolean Functions (TBF's), which integrates both logical and timing informa tion of digital circuits and systems into a single formalism. We also give a canonical form, TBF BDD's, for them, which can be used for efficient ma nipulation. In the second part, we apply Timed Boolean Functions to three problems in timing research, for which exact solutions are obtained for the first time: 1. computing the exact delays of combinational circuits and the minimum cycle times of finite state machines, 2. analysis and synthesis of wavepipelining circuits, a high speed architecture for which precise timing relations between signals are essential for correct operations, 3. verification of circuit and system performance and coverage of delay faults by testing.

Boolean Functions

Boolean Functions
Author: Yves Crama
Publisher: Cambridge University Press
Total Pages: 711
Release: 2011-05-16
Genre: Mathematics
ISBN: 1139498630

Written by prominent experts in the field, this monograph provides the first comprehensive, unified presentation of the structural, algorithmic and applied aspects of the theory of Boolean functions. The book focuses on algebraic representations of Boolean functions, especially disjunctive and conjunctive normal form representations. This framework looks at the fundamental elements of the theory (Boolean equations and satisfiability problems, prime implicants and associated short representations, dualization), an in-depth study of special classes of Boolean functions (quadratic, Horn, shellable, regular, threshold, read-once functions and their characterization by functional equations) and two fruitful generalizations of the concept of Boolean functions (partially defined functions and pseudo-Boolean functions). Several topics are presented here in book form for the first time. Because of the depth and breadth and its emphasis on algorithms and applications, this monograph will have special appeal for researchers and graduate students in discrete mathematics, operations research, computer science, engineering and economics.

Analysis of Boolean Functions

Analysis of Boolean Functions
Author: Ryan O'Donnell
Publisher: Cambridge University Press
Total Pages: 445
Release: 2014-06-05
Genre: Computers
ISBN: 1107038324

This graduate-level text gives a thorough overview of the analysis of Boolean functions, beginning with the most basic definitions and proceeding to advanced topics.

A Unified Approach for Timing Verification and Delay Fault Testing

A Unified Approach for Timing Verification and Delay Fault Testing
Author: Mukund Sivaraman
Publisher: Springer Science & Business Media
Total Pages: 164
Release: 2012-09-17
Genre: Technology & Engineering
ISBN: 1441985786

Large system complexities and operation under tight timing constraints in rapidly shrinking technologies have made it extremely important to ensure correct temporal behavior of modern-day digital circuits, both before and after fabrication. Research in (pre-fabrication) timing verification and (post-fabrication) delay fault testing has evolved along largely disjoint lines in spite of the fact that they share many basic concepts. A Unified Approach for Timing Verification and Delay Fault Testing applies concepts developed in the context of delay fault testing to path sensitization, which allows an accurate timing analysis mechanism to be developed. This path sensitization strategy is further applied for efficient delay fault diagnosis and delay fault coverage estimation. A new path sensitization strategy called Signal Stabilization Time Analysis (SSTA) has been developed based on the fact that primitive PDFs determine the stabilization time of the circuit outputs. This analysis has been used to develop a feasible method of identifying the primitive PDFs in a general multi-level logic circuit. An approach to determine the maximum circuit delay using this primitive PDF identification mechanism is also presented. The Primitive PDF Identification-based Timing Analysis (PITA) approach is proved to determine the maximum floating mode circuit delay exactly under any component delay model, and provides several advantages over previously floating mode timing analyzers. A framework for the diagnosis of circuit failures caused by distributed path delay faults is also presented. A metric to quantify the diagnosability of a path delay fault for a test is also proposed. Finally, the book presents a very realistic metric for delay fault coverage which accounts for delay fault size distributions and is applicable to any delay fault model. A Unified Approach for Timing Verification and Delay Fault Testing will be of interest to university and industry researchers in timing analysis and delay fault testing as well as EDA tool development engineers and design verification engineers dealing with timing issues in ULSI circuits. The book should also be of interest to digital designers and others interested in knowing the state of the art in timing verification and delay fault testing.

Integrated Circuit Design: Power and Timing Modeling, Optimization and Simulation

Integrated Circuit Design: Power and Timing Modeling, Optimization and Simulation
Author: Dimitrios Soudris
Publisher: Springer Science & Business Media
Total Pages: 349
Release: 2000-09
Genre: Computers
ISBN: 3540410686

Nebel (OFFISResearchInstitute,Oldenburg,Germany) RTL Estimation of Steering Logic Power. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 C. Anton,P. Civera,I. Colonescu,E. Macii,M. Poncino (PolytechnicalUniversityofTorino,Italy) A. Bogliolo(UniversityofFerrara,Italy) PowerEstimationandOptimization Reducing Power Consumption through Dynamic Frequency Scaling for a Class of Digital Receivers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 N. D. Zervas,S. Theoharis,A. P. Kakaroudas,G. Theodoridis, C. E. Goutis(UniversityofPatras,Greece) D.

Boolean Functions

Boolean Functions
Author: Winfried G. Schneeweiss
Publisher: Springer Science & Business Media
Total Pages: 275
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 3642456383

Modern systems engineering (e. g. switching circuits design) and operations research (e. g. reliability systems theory) use Boolean functions with increasing regularity. For practitioners and students in these fields books written for mathe maticians are in several respects not the best source of easy to use information, and standard books, such as, on switching circuits theory and reliability theory, are mostly somewhat narrow as far as Boolean analysis is concerned. Further more, in books on switching circuits theory the relevant stochastic theory is not covered. Aspects of the probabilistic theory of Boolean functions are treated in some works on reliability theory, but the results deserve a much broader interpre tation. Just as the applied theory (e. g. of the Laplace transform) is useful in control theory, renewal theory, queueing theory, etc. , the applied theory of Boolean functions (of indicator variables) can be useful in reliability theory, switching circuits theory, digital diagnostics and communications theory. This book is aimed at providing a sufficiently deep understanding of useful results both in practical work and in applied research. Boolean variables are restricted here to indicator or O/l variables, i. e. variables whose values, namely 0 and 1, are not free for a wide range of interpretations, e. g. in digital electronics 0 for L ==low voltage and 1 for H == high voltage.

Formal Modeling and Analysis of Timed Systems

Formal Modeling and Analysis of Timed Systems
Author: Kim G. Larsen
Publisher: Springer
Total Pages: 289
Release: 2004-05-12
Genre: Mathematics
ISBN: 3540409033

This book constitutes the thoroughly refereed post-proceedings of the First International Workshop on Formal Modeling and Analysis of Timed Systems, FORMATS 2003, held in Marseille, France in September 2003. The 19 revised full papers presented together with an invited paper and the abstracts of two invited talks were carefully selected from 36 submissions during two rounds of reviewing and improvement. All current aspects of formal method for modeling and analyzing timed systems are addressed; among the timed systems dealt with are timed automata, timed Petri nets, max-plus algebras, real-time systems, discrete time systems, timed languages, and real-time operating systems.