Aspect and Interval Tense Logic  

Oleh:

Leith, Miguel ; Cunningham, Jim

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Linguistics and Philosophy=> ada di SpringerLink 1997(vol.1) - Mutakhir; JSTOR vol. 24 no. 3 (Jun. 2001), page 331-381.
Fulltext: 25001815.pdf (4.64MB)

Isi artikel

Linguistic phenomena of tense and aspect have been investigated in a great deal of theoretical work in linguistics, philosophy and computer science. Modem 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 computa tionally 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 Halpem 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 min imal 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.

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