## Abstract We study modal logics based on neighbourhood semantics using methods and theorems having their origin in topological model theory. We thus obtain general results concerning completeness of modal logics based on neighbourhood semantics as well as the relationship between neighbourhood an
On some connections between logic and category theory
β Scribed by J. Lambek
- Publisher
- Springer Netherlands
- Year
- 1989
- Tongue
- English
- Weight
- 593 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0039-3215
No coin nor oath required. For personal study only.
β¦ Synopsis
Categories may be viewed as deductive systems or as algebraic theories. We are primarily interested in the interplay between these two views and trace it through a number of structured categories and their internal languages, bearing in mind their relevance to the foundations of mathematics. We see this as a common thread running through the six contributions to this issue of Studia Logica.
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We consider reflecting Brownian motion in a bounded domain with smooth boundary. Formulas for the moments of the excursion lengths are derived and connections between excursion theory of reflecting Brownian motion and notions from recurrent potential theory are explored.
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