Title
Partial Proof Trees, Resource Sensitive Logics, and Syntactic Constraints
Abstract
We discuss the relationship between a categorial system (PPTS) based on partial proof trees (PPTs) as the building blocks of the system, resource sensitive logics and the nature of syntactic constraints. PPTS incorporates some of the key insights of lexicalized tree adjoining grammar, namely the notion of an extended domain of locality and the consequent factoring of recursion from the domain of dependencies. PPTS therefore inherits the linguistic and computational properties of that system. We discuss the relationship between PPTS, natural deduction, and linear logic proof-nets, and argue that a natural deduction system rather than a proof-net system is more appropriate for the construction of the PPTs. We also show how the use of PPTs allows us to ‘localize’ the management of resources, thereby freeing us from this management as the PPTs are combined.
Year
DOI
Venue
1996
10.1007/BFb0052149
LACL
Keywords
Field
DocType
resource sensitive logics,partial proof trees,syntactic constraints,linear logic,natural deduction
Locality,Computer science,Proof theory,Natural language processing,Artificial intelligence,Recursion,Tree-adjoining grammar,Discrete mathematics,Natural deduction,Algorithm,Formal grammar,Linear logic,Rule of inference
Conference
ISBN
Citations 
PageRank 
3-540-63700-1
2
0.45
References 
Authors
7
2
Name
Order
Citations
PageRank
Aravind K. Joshi13479791.99
Seth Kulick222129.66