Title
Definability and decidability of binary predicates for time granularity
Abstract
In this paper we study the definability and decidability of binary predicates for time granularity with respect to monadic theories over finitely and infinitely layered structures. We focus our attention on the equi-level (resp. equicolumn) predicate constraining two time points to belong to the same layer (resp. column) and on the horizontal (resp. vertical) successor predicate relating a time point to its successor within a given layer (resp. column). We give a number of positive and negative results by reduction to/from a wide spectrum of decidable/undecidable problems.
Year
DOI
Venue
2003
10.1109/TIME.2003.1214896
TIME-ICTL 2003: 10TH INTERNATIONAL SYMPOSIUM ON TEMPORAL REPRESENTATION AND REASONING AND FOURTH INTERNATIONAL CONFERENCE ON TEMPORAL LOGIC, PROCEEDINGS
Keywords
Field
DocType
decidability,monadic theories,definability,time granularity,formal specification,formal specifications,logic,bismuth,automata,artificial intelligence,data mining,temporal logic,databases,spectrum
Computer science,Successor cardinal,Theoretical computer science,Decidability,Temporal logic,Predicate (grammar),Granularity,Monad (functional programming),Binary number,Undecidable problem
Conference
Citations 
PageRank 
References 
0
0.34
14
Authors
4
Name
Order
Citations
PageRank
Massimo Franceschet165839.91
Angelo Montanari21535135.04
Adriano Peron338145.82
Guido Sciavicco462250.35