Title
An infinite pebble game and applications
Abstract
We generalize the pebble game to infinite directed acyclic graphs and use this generalization to give new and shorter proofs of the following well-known results: (1) that unbounded memory increases the power of logics of programs, and (2) that there exists a context-free grammar with infinite index.
Year
DOI
Venue
1997
10.1006/inco.1997.2640
Information and Computation/information and Control
Keywords
Field
DocType
infinite pebble game,ehrenfeucht-fraisse game,model theory,shorter proof,infinite index,formal language theory,original proof,context-free language,advanced technique,tiuryn-erimbetov result,first-order logic,directed acyclic graph,context free grammar,indexation
Discrete mathematics,Combinatorics,Context-free grammar,Existential quantification,Directed graph,Directed acyclic graph,Mathematical proof,Game theory,Logic programming,Pebble,Mathematics
Journal
Volume
Issue
ISSN
136
1
Information and Computation
Citations 
PageRank 
References 
2
0.49
8
Authors
2
Name
Order
Citations
PageRank
A. J. Kfoury146147.34
A. P. Stolboushkin251.31