Symmetric categorial grammar

Journal of Philosophical Logic 38 (6):681 - 710 (2009)
Abstract
The Lambek-Grishin calculus is a symmetric version of categorial grammar obtained by augmenting the standard inventory of type-forming operations (product and residual left and right division) with a dual family: coproduct, left and right difference. Interaction between these two families is provided by distributivity laws. These distributivity laws have pleasant invariance properties: stability of interpretations for the Curry-Howard derivational semantics, and structure-preservation at the syntactic end. The move to symmetry thus offers novel ways of reconciling the demands of natural language form and meaning.
Keywords Categorial grammar  Lambek calculus  Lambda calculus  Curry-Howard correspondence  Substructural 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: 12,047
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
José M. Castaño (2004). Global Index Grammars and Descriptive Power. Journal of Logic, Language and Information 13 (4):403-419.

View all 12 references

Citations of this work BETA
Similar books and articles
Analytics

Monthly downloads

Added to index

2009-10-21

Total downloads

41 ( #44,791 of 1,101,646 )

Recent downloads (6 months)

3 ( #128,739 of 1,101,646 )

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.