Linguistics and Philosophy 24 (3):331-381 (2001)
|Abstract||Linguistic phenomena of tense and aspect have been investigated in a great deal of theoretical work in linguistics, philosophy and computer science. Modern tense logics, established by Prior, are part of this effort. Point tense logics offer an intuitive representation of tense but lack the expressiveness to represent many aspectual structures. Interval tense logics offer more expressiveness but in the general case can be computationally intractable. From a linguistic perspective there is the problem of precisely how to formalise the aspectual structures, such as a culmination and a culminated process. In this paper we define a computationally tractable augmented fragment of Halpern and Shoham's interval tense logic HS and apply it to represent a core set of aspectual structures, which are incorporated into a temporal semantics of a simple fragment of English. We model the logic fragment using timelines and define two procedures, one for constructing the minimal timelines that satisfy a formula and one for checking semantic entailments between one formula and another by comparing their timelines. The former is applied to compute models of temporal readings and the latter to check entailments between them. Possible extensions to the logic fragment and timeline models are discussed as ways of accounting for a wider range of linguistic behaviour.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Frank Wolter (1997). Completeness and Decidability of Tense Logics Closely Related to Logics Above K. Journal of Symbolic Logic 62 (1):131-158.
Ulrich Meyer (2009). 'Now' and 'Then' in Tense Logic. Journal of Philosophical Logic 38 (2):229-247.
Frank Wolter (1995). The Finite Model Property in Tense Logic. Journal of Symbolic Logic 60 (3):757-774.
M. J. Cresswell (2010). Temporal Reference in Linear Tense Logic. Journal of Philosophical Logic 39 (2):173 - 200.
Savas Konur (2011). An Event-Based Fragment of First-Order Logic Over Intervals. Journal of Logic, Language and Information 20 (1):49-68.
Tomasz Jarmużek & Andrzej Pietruszczak (2009). The Tense Logic for Master Argument in Prior's Reconstruction. Studia Logica 92 (1):85 - 108.
Ulrich Meyer (2009). Times in Tense Logic. Notre Dame Journal of Formal Logic 50 (2):201--19.
Fabio Bellissima & Saverio Cittadini (1999). Finite Trees in Tense Logic. Studia Logica 62 (2):121-140.
Fabrizio Arosio (2010). Infectum and Perfectum. Two Faces of Tense Selection in Romance Languages. Linguistics and Philosophy 33 (3):171-214.
Added to index2009-01-28
Total downloads5 ( #169,995 of 722,873 )
Recent downloads (6 months)1 ( #60,917 of 722,873 )
How can I increase my downloads?