| 000 -LEADER |
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| fixed length control field |
03669nam a22005775i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| ISBN |
9783540475613 |
| -- |
978-3-540-47561-3 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
006.3 |
| 100 1# - MAIN ENTRY--AUTHOR NAME |
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| Personal name |
Williams, James G. |
| 245 10 - TITLE STATEMENT |
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| Title |
Instantiation Theory |
| Sub Title |
On the Foundations of Automated Deduction / |
| Statement of responsibility, etc |
by James G. Williams. |
| 260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication |
Berlin, Heidelberg : |
| Name of publisher |
Springer Berlin Heidelberg, |
| Year of publication |
1991. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Number of Pages |
VIII, 136 p. |
| Other physical details |
online resource. |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Lecture Notes in Computer Science, Lectures Notes in Artificial Intelligence, |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Background -- General approaches to instantiation -- Classification properties -- Homomorphisms -- Construct bases -- Unification - an algorithm and its soundness -- Term-implementation and completeness -- Implementation and computational complexity -- Related issues not addressed. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
Instantiation Theory presents a new, general unification algorithm that is of immediate use in building theorem provers and logic programming systems. Instantiation theory is the study of instantiation in an abstract context that is applicable to most commonly studied logical formalisms. The volume begins with a survey of general approaches to the study of instantiation, as found in tree systems, order-sorted algebras, algebraic theories, composita, and instantiation systems. A classification of instantiation systems is given, based on properties of substitutions, degree of type strictness, and well-foundedness of terms. Equational theories and the use of typed variables are studied in terms of quotient homomorphisms and embeddings, respectively. Every instantiation system is a quotient system of a subsystem of first-order term instantiation. The general unification algorithm is developed as an application of the basic theory. Its soundness is rigorously proved, and its completeness and efficiency are verfied for certain classes of instantiation systems. Appropriate applications of the algorithm include unification of first-order terms, order-sorted terms, and first-order formulas modulo alpha-conversion, as well as equational unification using simple congruences. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Computer science. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Computer software. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Algebra |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Artificial intelligence. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Logic, Symbolic and mathematical. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Computer Science. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Artificial Intelligence (incl. Robotics). |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Mathematical Logic and Formal Languages. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Symbolic and Algebraic Manipulation. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Algorithm Analysis and Problem Complexity. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Programming Techniques. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Mathematical Logic and Foundations. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
http://dx.doi.org/10.1007/BFb0031932 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
E-BOOKS |
| 264 #1 - |
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| -- |
Berlin, Heidelberg : |
| -- |
Springer Berlin Heidelberg, |
| -- |
1991. |
| 336 ## - |
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| -- |
text |
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txt |
| -- |
rdacontent |
| 337 ## - |
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| -- |
computer |
| -- |
c |
| -- |
rdamedia |
| 338 ## - |
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| -- |
online resource |
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cr |
| -- |
rdacarrier |
| 347 ## - |
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| -- |
text file |
| -- |
PDF |
| -- |
rda |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| -- |
0302-9743 ; |
