An Introduction to Categorical Proof Theory
These expanded lecture notes are based on a tutorial on categorical proof theory presented at the summer school associated with the conference "Topology, Algebra, and Categories in Logic 2021-2022." The chapter delves into various applications of categorical methods in proof theory. It is...
Gespeichert in:
Veröffentlicht in: | arXiv.org 2024-08 |
---|---|
1. Verfasser: | |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | |
---|---|
container_issue | |
container_start_page | |
container_title | arXiv.org |
container_volume | |
creator | Amirhossein Akbar Tabatabai |
description | These expanded lecture notes are based on a tutorial on categorical proof theory presented at the summer school associated with the conference "Topology, Algebra, and Categories in Logic 2021-2022." The chapter delves into various applications of categorical methods in proof theory. It is designed to be accessible, with no prior familiarity with category theory required. The necessary categorical background is introduced gradually, with a focus on the philosophical and informal aspects of proof. The only prerequisites are a basic understanding of logic, computability theory, topology, and ordered structures. |
format | Article |
fullrecord | <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_3094932565</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>3094932565</sourcerecordid><originalsourceid>FETCH-proquest_journals_30949325653</originalsourceid><addsrcrecordid>eNpjYuA0MjY21LUwMTLiYOAtLs4yMDAwMjM3MjU15mTQdsxT8MwrKcpPKU0uyczPUyjJV3BOLElNzy_KTE7MUQgoys9PUwjJSM0vquRhYE1LzClO5YXS3AzKbq4hzh66BUX5haWpxSXxWfmlRXlAqXhjA0sTS2MjUzNTY-JUAQA6RDEf</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>3094932565</pqid></control><display><type>article</type><title>An Introduction to Categorical Proof Theory</title><source>Free E- Journals</source><creator>Amirhossein Akbar Tabatabai</creator><creatorcontrib>Amirhossein Akbar Tabatabai</creatorcontrib><description>These expanded lecture notes are based on a tutorial on categorical proof theory presented at the summer school associated with the conference "Topology, Algebra, and Categories in Logic 2021-2022." The chapter delves into various applications of categorical methods in proof theory. It is designed to be accessible, with no prior familiarity with category theory required. The necessary categorical background is introduced gradually, with a focus on the philosophical and informal aspects of proof. The only prerequisites are a basic understanding of logic, computability theory, topology, and ordered structures.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Topology</subject><ispartof>arXiv.org, 2024-08</ispartof><rights>2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>777,781</link.rule.ids></links><search><creatorcontrib>Amirhossein Akbar Tabatabai</creatorcontrib><title>An Introduction to Categorical Proof Theory</title><title>arXiv.org</title><description>These expanded lecture notes are based on a tutorial on categorical proof theory presented at the summer school associated with the conference "Topology, Algebra, and Categories in Logic 2021-2022." The chapter delves into various applications of categorical methods in proof theory. It is designed to be accessible, with no prior familiarity with category theory required. The necessary categorical background is introduced gradually, with a focus on the philosophical and informal aspects of proof. The only prerequisites are a basic understanding of logic, computability theory, topology, and ordered structures.</description><subject>Topology</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNpjYuA0MjY21LUwMTLiYOAtLs4yMDAwMjM3MjU15mTQdsxT8MwrKcpPKU0uyczPUyjJV3BOLElNzy_KTE7MUQgoys9PUwjJSM0vquRhYE1LzClO5YXS3AzKbq4hzh66BUX5haWpxSXxWfmlRXlAqXhjA0sTS2MjUzNTY-JUAQA6RDEf</recordid><startdate>20240818</startdate><enddate>20240818</enddate><creator>Amirhossein Akbar Tabatabai</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20240818</creationdate><title>An Introduction to Categorical Proof Theory</title><author>Amirhossein Akbar Tabatabai</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_30949325653</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Topology</topic><toplevel>online_resources</toplevel><creatorcontrib>Amirhossein Akbar Tabatabai</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Amirhossein Akbar Tabatabai</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>An Introduction to Categorical Proof Theory</atitle><jtitle>arXiv.org</jtitle><date>2024-08-18</date><risdate>2024</risdate><eissn>2331-8422</eissn><abstract>These expanded lecture notes are based on a tutorial on categorical proof theory presented at the summer school associated with the conference "Topology, Algebra, and Categories in Logic 2021-2022." The chapter delves into various applications of categorical methods in proof theory. It is designed to be accessible, with no prior familiarity with category theory required. The necessary categorical background is introduced gradually, with a focus on the philosophical and informal aspects of proof. The only prerequisites are a basic understanding of logic, computability theory, topology, and ordered structures.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | EISSN: 2331-8422 |
ispartof | arXiv.org, 2024-08 |
issn | 2331-8422 |
language | eng |
recordid | cdi_proquest_journals_3094932565 |
source | Free E- Journals |
subjects | Topology |
title | An Introduction to Categorical Proof Theory |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-20T19%3A50%3A43IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=An%20Introduction%20to%20Categorical%20Proof%20Theory&rft.jtitle=arXiv.org&rft.au=Amirhossein%20Akbar%20Tabatabai&rft.date=2024-08-18&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E3094932565%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=3094932565&rft_id=info:pmid/&rfr_iscdi=true |