A complete axiom system for polygonal mereotopology of the real plane

Journal of Philosophical Logic 27 (6):621-658 (1998)
Abstract
This paper presents a calculus for mereotopological reasoning in which two-dimensional spatial regions are treated as primitive entities. A first order predicate language ℒ with a distinguished unary predicate c(x), function-symbols +, · and - and constants 0 and 1 is defined. An interpretation ℜ for ℒ is provided in which polygonal open subsets of the real plane serve as elements of the domain. Under this interpretation the predicate c(x) is read as 'region x is connected' and the function-symbols and constants are given their meaning in terms of a Boolean algebra of polygons. We give an alternative interpretation base on the real closed plane which turns out to be isomorphic to ℜ. A set of axioms and a rule of inference are introduced. We prove the soundness and completeness of the calculus with respect to the given interpretation
Keywords mereology  spatial  reasoning  topology  logic
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 10,346
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Citations of this work BETA
Stefano Borgo & Claudio Masolo (2010). Full Mereogeometries. Review of Symbolic Logic 3 (4):521-567.
Similar books and articles
Analytics

Monthly downloads

Added to index

2009-01-28

Total downloads

6 ( #197,759 of 1,096,634 )

Recent downloads (6 months)

4 ( #73,267 of 1,096,634 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.