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ICCAD
1995
IEEE
127views Hardware» more  ICCAD 1995»
14 years 3 months ago
Hybrid decision diagrams
Abstract: Functions that map boolean vectors into the integers are important for the design and veri cation of arithmetic circuits. MTBDDs and BMDs have been proposed for represent...
Edmund M. Clarke, Masahiro Fujita, Xudong Zhao
FDTC
2006
Springer
80views Cryptology» more  FDTC 2006»
14 years 3 months ago
Robust Finite Field Arithmetic for Fault-Tolerant Public-Key Cryptography
We present a new approach to fault tolerant public key cryptography based on redundant arithmetic in finite rings. Redundancy is achieved by embedding non-redundant field or ring ...
Gunnar Gaubatz, Berk Sunar
DELTA
2004
IEEE
14 years 3 months ago
Arithmetic Transformations to Maximise the Use of Compressor Trees
Complex arithmetic computations, especially if derived from bit-level software descriptions, can be very inefficient if implemented directly in hardware (e.g., by translation of t...
Paolo Ienne, Ajay K. Verma
DATE
2004
IEEE
134views Hardware» more  DATE 2004»
14 years 3 months ago
Arithmetic Reasoning in DPLL-Based SAT Solving
We propose a new arithmetic reasoning calculus to speed up a SAT solver based on the Davis Putnam Longman Loveland (DPLL) procedure. It is based on an arithmetic bit level descrip...
Markus Wedler, Dominik Stoffel, Wolfgang Kunz
CASES
2009
ACM
14 years 3 months ago
Exploiting residue number system for power-efficient digital signal processing in embedded processors
2's complement number system imposes a fundamental limitation on the power and performance of arithmetic circuits, due to the fundamental need of cross-datapath carry propaga...
Rooju Chokshi, Krzysztof S. Berezowski, Aviral Shr...
DAC
1997
ACM
14 years 3 months ago
Analysis and Evaluation of Address Arithmetic Capabilities in Custom DSP Architectures
—Many application-specific architectures provide indirect addressing modes with auto-increment/decrement arithmetic. Since these architectures generally do not feature an indexe...
Ashok Sudarsanam, Stan Y. Liao, Srinivas Devadas
COMPGEOM
1997
ACM
14 years 3 months ago
Robust Proximity Queries: An Illustration of Degree-Driven Algorithm Design
Abstract. In the context of methodologies intended to confer robustness to geometric algorithms, we elaborate on the exact-computation paradigm and formalize the notion of degree o...
Giuseppe Liotta, Franco P. Preparata, Roberto Tama...
DAC
1998
ACM
14 years 3 months ago
Arithmetic Optimization Using Carry-Save-Adders
Carry-save-adderCSA is the most often used type of operation in implementing a fast computation of arithmetics of register-transfer level design in industry. This paper establis...
Taewhan Kim, William Jao, Steven W. K. Tjiang
LICS
2002
IEEE
14 years 4 months ago
Remarks on Isomorphisms in Typed Lambda Calculi with Empty and Sum Types
Tarski asked whether the arithmetic identities taught in high school are complete for showing all arithmetic equations valid for the natural numbers. The answer to this question f...
Marcelo P. Fiore, Roberto Di Cosmo, Vincent Balat
CHARME
2003
Springer
103views Hardware» more  CHARME 2003»
14 years 4 months ago
Linear and Nonlinear Arithmetic in ACL2
Abstract. As of version 2.7, the ACL2 theorem prover has been extended to automatically verify sets of polynomial inequalities that include nonlinear relationships. In this paper w...
Warren A. Hunt Jr., Robert Bellarmine Krug, J. Str...