Paper Info
Title
Perfect Timed Communication Is Hard.
Abstract
We introduce the model of communicating timed automata (CTA) that extends the classical models of finite-state processes communicating through FIFO perfect channels and timed automata, in the sense that the finite-state processes are replaced by timed automata, and messages inside the perfect channels are equipped with clocks representing their ages. In addition to the standard operations (resetting clocks, checking guards of clocks) each automaton can either (1) append a message to the tail of a channel with an initial age or (2) receive the message at the head of a channel if its age satisfies a set of given constraints. In this paper, we show that the reachability problem is undecidable even in the case of two timed automata connected by one unidirectional timed channel if one allows global clocks (that the two automata can check and manipulate). We prove that this undecidability still holds even for CTA consisting of three timed automata and two unidirectional timed channels (and without any global clock). However, the reachability problem becomes decidable (in (mathsf {EXPTIME})) in the case of two automata linked with one unidirectional timed channel and with no global clock. Finally, we consider the bounded-context case, where in each context, only one timed automaton is allowed to receive messages from one channel while being able to send messages to all the other timed channels. In this case we show that the reachability problem is decidable.
Year
Venue
Field
2018
FORMATS
Discrete mathematics,EXPTIME,FIFO (computing and electronics),Computer science,Automaton,Communication channel,Decidability,Theoretical computer science,Timed automaton,Reachability problem,Undecidable problem
DocType
Citations 
PageRank 
Conference
1
0.35
References 
Authors
18
3
Name
Order
Citations
PageRank
Parosh Aziz Abdulla12010122.22
Mohamed Faouzi Atig250540.94
Shankara Narayanan Krishna324342.57