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Reasoning with Descriptions of Trees (1992) [36 citations — 5 self]

by James Rogers ,  K. Vijay-Shanker
In ACL-92, 72--80
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Abstract:

In this paper we introduce a logic for describing trees which allows us to reason about both the parent and domination relationships. The use of domination has found a number of applications, such as in deterministic parsers based on Description the- ory (Marcus, Hindle & Fleck, 1983), in a com- pact organization of the basic structures of Tree- Adjoining Grammars (Vijay-Shanker & Schabes, 1992), and in a new characterization of the ad- joining operation that allows a clean integration of TAGs into the unification-based framework (VijayShankeL 1992) Our logic serves to formalize the reasoning on which these applications are based.

Citations

2010 The Design and Analysis of Computer Algorithms – Aho, Hopcroft, et al. - 1974
351 First-Order Logic and Automated Theorem Proving – Fitting - 1990
245 Theory of Syntactic Recognition for Natural Languages – Marcus - 1980
93 D-Theory: Talking about Talking about Trees – Marcus, Hindle - 1983
66 Using descriptions of trees in a tree adjoining grammar – Vijay-Shanker - 1992
55 The Foundations of Mathematics: A – Beth - 1966
15 Deterministic parsing and description theory – Marcus - 1987
1 A formalization of partial descriptions of trees – Rogers - 1992