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Verifying Adder Circuits Using Powerlists (1994)  (Make Corrections)  (9 citations)
William Adams



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Abstract: We define the ripple-carry and the carry-lookahead adder circuits in the powerlist notation and we use the powerlist algebra to prove that these circuits correctly implement addition for natural numbers represented as bit vectors. (Update)

Context of citations to this paper:   More

.... parallel prefix computation, and hardware architectures, as well as hardware circuits, including carry look ahead and ripple carry adders [1]. Informally speaking, flat) powerlists are lists of length 2 k ; k 0, of the same type of elements, called scalars by Misra, with a...

...holds for j but not for is (35) due to the ambiguity that arises when deconstructing the arguments using . 2 Adder circuits In [Ada94] Will Adams presented powerlist descriptions for two arithmetic circuits that perform addition on natural numbers: the ripple carry adder and...

Cited by:   More
Powerlist: A Structure for Parallel Recursion - Misra (1994)   (Correct)
Mechanical Verification of Adder Circuits using Powerlists - Kapur, Subramaniam (1996)   (Correct)
Data Structures for Parallel Recursion - Kornerup (1997)   (Correct)

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0.1:   Mapping a Functional Notation for Parallel Programs onto Hypercubes - Kornerup (1995)   (Correct)

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1.1:   Defthms About Zip and Tie: Reasoning About Powerlists in ACL2 - Gamboa (1997)   (Correct)
1.0:   Odd-Even Sort in Powerlists - Kornerup (1996)   (Correct)
0.9:   Parlists - a Generalization of Powerlists - Kornerup (1997)   (Correct)

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8:   Automated reasoning about parallel algorithms using powerlists (context) - Kapur, Subramaniam - 1994
6:   Parallel prefix computation (context) - Ladner, Fisher - 1980
5:   ACM Transactions on Programming Languages and Systems (context) - Misra, for et al. - 1994

BibTeX entry:   (Update)

Will Adams. Verifying adder circuits using powerlists. Technical Report TR 94-02, Dept. of Computer Science, Univ. of Texas at Austin, Austin, Texas 78712, Mar. 1994. http://citeseer.ist.psu.edu/adams94verifying.html   More

@techreport{ adams94verifying,
    author = "William Adams",
    title = "Verifying Adder Circuits Using Powerlists",
    number = "CS-TR-94-02",
    month = "1,",
    year = "1994",
    url = "citeseer.ist.psu.edu/adams94verifying.html" }
Citations (may not include all citations):
141   Predicate calculus and program semantics (context) - Dijkstra, Scholten - 1990
85   Circuit design in Ruby (context) - Jones, Sheeran - 1990
81   Why higher-order logic is a good formalism for specifying an.. (context) - Gordon - 1985
32   Powerlist: a structure for parallel recursion - Misra - 1994
14   Using Nuprl for the verification and synthesis of hardware (context) - Leeser - 1992
8   Verification of a bit-slice ALU - Hunt, Bishop et al. - 1989
8   Mapping powerlists onto hypercubes (context) - Kornerup - 1994



The graph only includes citing articles where the year of publication is known.


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