Comparing reduction strategies in resource conscious lambda calculi:
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| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | German |
| Published: |
1997
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 210 S. |
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MARC
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Record in the Search Index
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|---|---|
| adam_text |
CONTENTS
CONTENTS
ACKNOWLEDGMENTS ILL
TYPOGRAPHICAL NOTES V
LIST OF FIGURES IX
ABSTRACT XI
1 INTRODUCTION 1
1.1 BACKGROUND. 4
1.2 OUTLINE . 12
1 UNRESTRICTED WEAKENING AND CONTRACTION 15
2 CLASSICAL LAMBDA REDUCTION 17
2.1 THE CALL-BY-NAME LAMBDA CALCULUS. 17
2.2 THE CALL-BY-VALUE LAMBDA CALCULUS. 29
3 GENERALIZING CALL-BY-VALUE 31
3.1 SUBSTITUTIONS . 31
3.2 SUBJECT REDUCTION. 32
3.3 FINITENESS OF DEVELOPMENTS. 33
3.4 CONFLUENCE. 43
3.5 STANDARD CALL-BY-LET REDUCTION. 43
3.6 AN ALTERNATE MARKING THEORY FOR LET TERMS. 49
3.7 CONSERVATIVE EXTENSION OF VAL TO LET. 53
3.8 AVOIDING THE WELL-SEPARATION RESTRICTION. 55
4 CALL-BY-NEED 63
4.1 SUBSTITUTION PROPERTIES. 63
4.2 SUBJECT REDUCTION. 63
4.3 CONFLUENCE. 64
4.4 GENERALIZED REDUCTION AND DEVELOPMENTS. 65
4.5 CALL-BY-NEED AND CALL-BY-NAME. 66
4.6 STANDARD CALL-BY-NEED REDUCTION. 73
4.7 OTHER APPROACHES TO CALL-BY-NEED. 81
II A MODE FOR WEAKENING AND CONTRACTION 85
5 THE LINEAR LAMBDA CALCULUS 87
5.1 SUBSTITUTIONS . 88
5.2 SUBJECT REDUCTION. 88
5.3 DEVELOPMENTS. 89
5.4 CONFLUENCE. 94
5.5 STANDARD LINEAR LAMBDA REDUCTION. 94
5.6 OTHER FORMULATIONS OF LINEAR LOGIC AND LAMBDA CALCULI. 98
6 THE
AFFINE LAMBDA CALCULUS 101
6.1 SUBSTITUTIONS .101
6.2 SUBJECT REDUCTION.102
6.3 GENERALIZED REDUCTIONS AND DEVELOPMENTS.102
6.4 CONFLUENCE.103
6.5 STANDARD AFFINE REDUCTION.104
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/952316935
CONTENTS
7 THE GIRARD
TRANSLATIONS HI
7.1 THE STANDARD TRANSLATION.ILL
7.2 THE STEADFAST TRANSLATION .114
IN SEPARATE MODES FOR WEAKENING AND CONTRACTION 121
8 THE SEPARATED-LINEAR LAMBDA CALCULUS 123
8.1 SUBSTITUTION PROPERTIES.127
8.2 SUBJECT REDUCTION.127
8.3 GENERALIZED REDUCTION AND DEVELOPMENTS.128
8.4 CONFLUENCE.137
8.5 STANDARD EVALUATION.137
8.6 TYPING WITHOUT THE STRUCTURAL RULES.148
V
9 THREE SEPARATED TRANSLATIONS 151
9.1 THE SEPARATED STANDARD TRANSLATION.151
9.2 THE SEPARATED STEADFAST TRANSLATION.153
9.3 THE HYBRID TRANSLATION.154
10 CONCLUSION 169
10.1 NON-SIMPLE TYPES.170
10.2 PRODUCT AND SUM TYPES.171
BIBLIOGRAPHY 207
A RECURSION 193
A.1 RECURSIVE LINEAR LAMBDA.193
A.2 RECURSIVE CALL-BY-NAME.194
A.3 RECURSIVE CALL-BY-VALUE.195
A.4 AN ALTERNATE RECURSIVE LINEAR LAMBDA.195
GLOSSARY OF METAVARIABLES 199
GLOSSARY OF SYMBOLIC NOTATION 201
INDEX 203
VIII |
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| author | Maraist, John |
| author_facet | Maraist, John |
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| discipline | Informatik Mathematik |
| format | Thesis Book |
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| indexdate | 2024-10-09T16:06:40Z |
| institution | BVB |
| language | German |
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| publishDateSearch | 1997 |
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| spelling | Maraist, John Verfasser aut Comparing reduction strategies in resource conscious lambda calculi John Maraist Comparing reduction strategies in resource-conscious lambda calculi 1997 XII, 210 S. txt rdacontent n rdamedia nc rdacarrier Karlsruhe, Univ., Diss., 1997 Lambda-Kalkül (DE-588)4166495-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Lambda-Kalkül (DE-588)4166495-4 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007935691&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Maraist, John Comparing reduction strategies in resource conscious lambda calculi Lambda-Kalkül (DE-588)4166495-4 gnd |
| subject_GND | (DE-588)4166495-4 (DE-588)4113937-9 |
| title | Comparing reduction strategies in resource conscious lambda calculi |
| title_alt | Comparing reduction strategies in resource-conscious lambda calculi |
| title_auth | Comparing reduction strategies in resource conscious lambda calculi |
| title_exact_search | Comparing reduction strategies in resource conscious lambda calculi |
| title_full | Comparing reduction strategies in resource conscious lambda calculi John Maraist |
| title_fullStr | Comparing reduction strategies in resource conscious lambda calculi John Maraist |
| title_full_unstemmed | Comparing reduction strategies in resource conscious lambda calculi John Maraist |
| title_short | Comparing reduction strategies in resource conscious lambda calculi |
| title_sort | comparing reduction strategies in resource conscious lambda calculi |
| topic | Lambda-Kalkül (DE-588)4166495-4 gnd |
| topic_facet | Lambda-Kalkül Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007935691&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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