Abstract automath:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Mathematisch Centrum
1983
|
| Schriftenreihe: | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts
160. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 188 S. |
| ISBN: | 9061962560 |
Internformat
MARC
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| 264 | 1 | |a Amsterdam |b Mathematisch Centrum |c 1983 | |
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| 490 | 1 | |a Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |v 160. | |
| 650 | 4 | |a AUTOMATH (Formal language) | |
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Datensatz im Suchindex
| _version_ | 1804117790043406336 |
|---|---|
| adam_text | CONTENTS
0.INTRODUCTION 1
01.AUT0MATH: historical landmarks 2
02.AUTOMATH: tracing back motivations 7
O3.AUTOMATH versus semantics 14
04.The contents of this work 18
05.Abstract AUTOMATH: definition scheme 24
1.LANGUAGE DEFINITION: WELL-FORMEDNESS 28
10.Alphabets to use 28
101.Further structure on (floating) constants 32
11.Variable-strings 36
12.Term structures 37
121.Terms 37
122.Canonical terms and definitions 41
123.Combinatory reduction systems 47
13.Term-strings 55
14.E—sentences 57
15.Contexts 59
16.Constructions and sites 61
2.LANGUAGE DEFINITION: CORRECTNESS 65
20.Correctness categories 65
21.Correctness for Primitive and Classical (Abstract) AUTOMATH 71
211.Correctness rules for PA and CA 72
212.Basic epi-theory for PA.CA: structural lemmas 80
213.Basic epi-theory: invariance under site- and/or context-
expansion 91
214.Substitution and category correctness 95
22.Correctness for Q~A and QA 98
221.Correctness rules for Q A and QA 103
222.Basic epi-theory for Q A and QA 106
vi
3.GLOBAL STRUCTURE OF CORRECTNESS: PA-SEPARATION 112
30.What is going on: heuristics 112
31.Tree-analysis 116
311.Well-formedness part 116
312.Analytic trees 121
313.Genetic trees: a digression 124
314.On isolating wfe s on PA 131
32.Global structure of (LA-compatible) sites 134
321.Reduced sites.Reference order in LA-sites 134
322.Proof theory: correctness proofs and their indices 138
323.Analytic sites qua reducts and some topology 156
33.Conserving PA-correctness 163
331. Conservation over PA 163
332.PA-separation and conservativity over PA 167
REFERENCES 172
INDEX OF NOTIONS 185
|
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| author | Rezus, Adrian |
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| callnumber-first | Q - Science |
| callnumber-label | QA267 |
| callnumber-raw | QA267.3 |
| callnumber-search | QA267.3 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 130 |
| ctrlnum | (OCoLC)9926189 (DE-599)BVBBV003442299 |
| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV003442299 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:00:00Z |
| institution | BVB |
| isbn | 9061962560 |
| language | English |
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| physical | VI, 188 S. |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Mathematisch Centrum |
| record_format | marc |
| series | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |
| series2 | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |
| spelling | Rezus, Adrian Verfasser aut Abstract automath A. Rezus Amsterdam Mathematisch Centrum 1983 VI, 188 S. txt rdacontent n rdamedia nc rdacarrier Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts 160. AUTOMATH (Formal language) Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts 160. (DE-604)BV000893527 160. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002178993&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rezus, Adrian Abstract automath Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts AUTOMATH (Formal language) |
| title | Abstract automath |
| title_auth | Abstract automath |
| title_exact_search | Abstract automath |
| title_full | Abstract automath A. Rezus |
| title_fullStr | Abstract automath A. Rezus |
| title_full_unstemmed | Abstract automath A. Rezus |
| title_short | Abstract automath |
| title_sort | abstract automath |
| topic | AUTOMATH (Formal language) |
| topic_facet | AUTOMATH (Formal language) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002178993&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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