Title
A problem reduction model for non independent subproblems
Abstract
A hypergraph model is introduced, which besides including the AND/OR graph and state space graph models as particulars, is adequate for problem solving tasks involving non independent subproblems. The hypergraph model is shown to be grounded on a nonstandard notion of conjunction such that the truth of a conjunction does not necessarily imply the truth of the conjuncts. A hypergraph search algorithm is given and shown to be equivalent to a resolution-based theorem prover in a first order logic augmented with the special conjunction. A characterization is given of the class of problems requiring the full descriptive power of our model. The class includes problems involving resources, plan formation, simplification of predicate logic programs.
Year
Venue
Keywords
1975
IJCAI
plan formation,problem reduction model,full descriptive power,special conjunction,nonstandard notion,hypergraph search algorithm,non independent subproblems,order logic,hypergraph model,predicate logic program,state space graph model
Field
DocType
Citations 
Graph,Discrete mathematics,Search algorithm,Computer science,Hypergraph,Automated theorem proving,First-order logic,Artificial intelligence,State space,Predicate logic,Machine learning
Conference
6
PageRank 
References 
Authors
1.20
7
2
Name
Order
Citations
PageRank
G. Levi161.20
F. Sirovich2111.86