{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T05:36:39Z","timestamp":1725428199796},"reference-count":0,"publisher":"EasyChair","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>My research concerns a construction of \"logical schemes,\" geometric entities<\/jats:p><jats:p>which represent logical theories in much the same way that algebraic schemes<\/jats:p><jats:p>represent rings. These  involve two components: a semantic spectral space<\/jats:p><jats:p>and a syntactic structure sheaf. As in the algebraic case, we can recover a<\/jats:p><jats:p>theory from its scheme representation (up to a conservative completion) and<\/jats:p><jats:p>the structure sheaf is local in a certain logical sense. From these ane pieces<\/jats:p><jats:p>we can build up a 2-category of logical schemes which share some of the nice<\/jats:p><jats:p>properties of algebraic schemes.<\/jats:p>","DOI":"10.29007\/8l5l","type":"proceedings-article","created":{"date-parts":[[2018,1,23]],"date-time":"2018-01-23T17:59:06Z","timestamp":1516730346000},"page":"10-5","source":"Crossref","is-referenced-by-count":0,"title":["Scheme representation for first-order logic"],"prefix":"10.29007","volume":"25","author":[{"given":"Steve","family":"Awodey","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Spencer","family":"Breiner","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"11545","event":{"name":"TACL 2013. Sixth International Conference on Topology, Algebra and Categories in Logic"},"container-title":["EPiC Series in Computing"],"original-title":[],"deposited":{"date-parts":[[2018,1,23]],"date-time":"2018-01-23T18:01:24Z","timestamp":1516730484000},"score":1,"resource":{"primary":{"URL":"https:\/\/easychair.org\/publications\/paper\/dRJ"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"references-count":0,"URL":"https:\/\/doi.org\/10.29007\/8l5l","relation":{},"ISSN":["2398-7340"],"issn-type":[{"type":"print","value":"2398-7340"}],"subject":[]}}