Embedding the Calendar and Time Type System in Temporal Type Theory

Pitsiladis, Georgios V.; Koutras, Costas D.; Πιτσιλαδής, Γεώργιος Β.; Κούτρας, Κωνσταντίνος

dc.contributor.author	Pitsiladis, Georgios V.
dc.contributor.author	Koutras, Costas D.
dc.contributor.author	Πιτσιλαδής, Γεώργιος Β.
dc.contributor.author	Κούτρας, Κωνσταντίνος
dc.date.accessioned	2025-11-12T14:57:08Z
dc.date.available	2025-11-12T14:57:08Z
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/62848
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.30544
dc.rights	Default License
dc.subject	Temporal type theory	en
dc.subject	calendar type	en
dc.subject	time granularities	en
dc.subject	temporal landscapes	en
dc.title	Embedding the Calendar and Time Type System in Temporal Type Theory	en
heal.type	journalArticle
heal.language	en
heal.access	campus
heal.recordProvider	ntua	el
heal.publicationDate	2024-12-07
heal.bibliographicCitation	Pitsiladis, G. V., & Koutras, C. D. (2024). Embedding the Calendar and Time Type System in Temporal Type Theory. Journal of Applied Non-Classical Logics, 35(2), 121–168. https://doi.org/10.1080/11663081.2024.2430108	en
heal.abstract	Temporal Type Theory (TTT) has been recently introduced as a topos-theoretic approach to understanding the behaviour of systems over time. A truly innovative point of TTT is that it makes truth inherently dependent on time; this is to be contrasted with the classical approach in which past, present and future are related via logical operators. Further on this line of research, the notion of truth is substituted by the ‘time duration’ over which a proposition is true, giving rise to the logic of temporal landscapes. In this paper, we embed the main notions of the Calendar and Time Type System (a framework that was built for reasoning about calendric notions in the context of the Web and is centred around the notion of time granularity) in Temporal Type Theory, attempting to address a common requirement in the practical use of temporal formalisms: the ability to speak about certain time moments and appropriate time windows in (past and future) time, in the form of hours, dates, holidays, etc. With a view to concrete applications, we provide examples on how calendar types can be combined with temporal operators of TTT to augment the expressive power of this framework. In that respect, the addition of calendar types genuinely adds to the range of Temporal Type Theory as a powerful specification language.	en
heal.publisher	Taylor & Francis	en
heal.journalName	Journal of Applied Non-Classical Logics	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	false
dc.identifier.doi	10.1080/11663081.2024.2430108	el