On the equivalence of Ajdukiewicz-Lambek calculus and simple phrase structure grammars


Abstract
In [2], Bar-Hillel, Gaifman, and Shamir prove that the simple phrase structure grammars dened by Chomsky are equivalent in a cer- tain sense to Bar-Hillel's bidirectional categorial grammars . On the other hand, Cohen [3] proves the equivalence of the latter ones to what he calls free categorial grammars . They are closely related to Lambek's syntactic calculus which is, in turn, based on the idea due to Ajdukiewicz [1]. For some reasons, Cohen's proof seems to be at least in- complete. Here, I give a short outline of the direct proof of the equivalence between SF G's and F CG's
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 46,330
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.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Product-Free Lambek Calculus and Context-Free Grammars.Mati Pentus - 1997 - Journal of Symbolic Logic 62 (2):648-660.
Extending Lambek Grammars to Basic Categorial Grammars.Wojciech Buszkowski - 1996 - Journal of Logic, Language and Information 5 (3-4):279-295.
Two Weak Lambek-Style Calculi: DNL and DNL.Wojciech Zielonka - 2012 - Logic and Logical Philosophy 21 (1):53-64.
Interdefinability of Lambekian Functors.Wojciech Zielonka & W. Zielonka - 1992 - Mathematical Logic Quarterly 38 (1):501-507.

Analytics

Added to PP index
2014-02-19

Total views
19 ( #483,877 of 2,285,998 )

Recent downloads (6 months)
1 ( #833,345 of 2,285,998 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature