{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T06:22:36Z","timestamp":1725517356235},"reference-count":0,"publisher":"EasyChair","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>Topos-theoretic semantics for modal logic usually uses structures induced by a surjective geometric morphism between toposes.  This talk develops an algebraic generalization of this framework.  We take internal adjoints between certain internal frames within a topos, which provides semantics for (intuitionistic) higher-oder modal logic.<\/jats:p>","DOI":"10.29007\/nv5m","type":"proceedings-article","created":{"date-parts":[[2018,1,23]],"date-time":"2018-01-23T22:59:06Z","timestamp":1516748346000},"page":"14-10","source":"Crossref","is-referenced-by-count":0,"title":["General Topos Semantics for Higher-Order Modal Logic"],"prefix":"10.29007","volume":"25","author":[{"given":"Steve","family":"Awodey","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kohei","family":"Kishida","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hans-Christoph","family":"Kotzsch","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":"2018-01-23T23:01:15Z","timestamp":1516748475000},"score":1,"resource":{"primary":{"URL":"https:\/\/easychair.org\/publications\/paper\/dRg"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"references-count":0,"URL":"https:\/\/doi.org\/10.29007\/nv5m","relation":{},"ISSN":["2398-7340"],"issn-type":[{"type":"print","value":"2398-7340"}],"subject":[]}}