skip to content
Addition machines Preview this item
ClosePreview this item
Checking...

Addition machines

Author: Robert W Floyd; Donald Ervin Knuth; Stanford University. Computer Science Department.
Publisher: Stanford, Calif. : Dept. of Computer Science, Stanford University, 1989.
Series: Report (Stanford University. Computer Science Department), no. STAN-CS-89-1254.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
An addition machine is a computing device with a finite number of registers, limited to the following six types of operations.

Read x {input to register x} x <-- y {copy register y to register x} x <-- x + y {add register y to register x} x <-- x - y {subtract register y from register x} if x>= y {compare register x to register y} write x {output from register x}

The register contents are assumed to belong to a given set A, which is an additive subgroup of the real numbers. If A is the set of all integers, we say the device is an integer addition machine; if A is the set of all real numbers, we say the device is a real addition machine.

We will consider how efficiently an integer addition machine can do operations such multiplication, division, greatest common divisor, exponentiation, and sorting. We will also show that any addition machine with at least six registers can compute the ternary operation x[y/z] with reasonable efficiency, given x, y, z in A with z not equal to 0.  Read more...

Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Document Type: Book
All Authors / Contributors: Robert W Floyd; Donald Ervin Knuth; Stanford University. Computer Science Department.
OCLC Number: 20244230
Notes: Cover title.
"April 1989."
"This research was supported in part by the National Science Foundation under grant CCR-86-10181, and by Office of Naval Research contract N00014-87-K-0502"--Page 1.
Description: 15 pages ; 28 cm.
Series Title: Report (Stanford University. Computer Science Department), no. STAN-CS-89-1254.
Responsibility: by Robert W. Floyd and Donald E. Knuth.

Abstract:

An addition machine is a computing device with a finite number of registers, limited to the following six types of operations.

Read x {input to register x} x <-- y {copy register y to register x} x <-- x + y {add register y to register x} x <-- x - y {subtract register y from register x} if x>= y {compare register x to register y} write x {output from register x}

The register contents are assumed to belong to a given set A, which is an additive subgroup of the real numbers. If A is the set of all integers, we say the device is an integer addition machine; if A is the set of all real numbers, we say the device is a real addition machine.

We will consider how efficiently an integer addition machine can do operations such multiplication, division, greatest common divisor, exponentiation, and sorting. We will also show that any addition machine with at least six registers can compute the ternary operation x[y/z] with reasonable efficiency, given x, y, z in A with z not equal to 0.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


<http://www.worldcat.org/oclc/20244230>
library:oclcnum"20244230"
library:placeOfPublication
library:placeOfPublication
owl:sameAs<info:oclcnum/20244230>
rdf:typeschema:Book
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:contributor
schema:contributor
<http://viaf.org/viaf/239748731>
rdf:typeschema:Organization
schema:name"Stanford University. Computer Science Department."
schema:creator
schema:datePublished"1989"
schema:description"The register contents are assumed to belong to a given set A, which is an additive subgroup of the real numbers. If A is the set of all integers, we say the device is an integer addition machine; if A is the set of all real numbers, we say the device is a real addition machine."@en
schema:description"Read x {input to register x} x <-- y {copy register y to register x} x <-- x + y {add register y to register x} x <-- x - y {subtract register y from register x} if x>= y {compare register x to register y} write x {output from register x}"@en
schema:description"We will consider how efficiently an integer addition machine can do operations such multiplication, division, greatest common divisor, exponentiation, and sorting. We will also show that any addition machine with at least six registers can compute the ternary operation x[y/z] with reasonable efficiency, given x, y, z in A with z not equal to 0."@en
schema:description"An addition machine is a computing device with a finite number of registers, limited to the following six types of operations."@en
schema:exampleOfWork<http://worldcat.org/entity/work/id/10588>
schema:inLanguage"en"
schema:name"Addition machines"@en
schema:publisher
schema:url

Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.