TY - BOOK
T1 - Reactive Turing machines
AU - Baeten, J.C.M.
AU - Luttik, B.
AU - Tilburg, van, P.J.A.
PY - 2011
Y1 - 2011
N2 - We propose reactive Turing machines, extending classical Turing machines with a process-theoretical notion of interaction. We show that every effective transition system is simulated up to branching bisimilarity by a reactive Turing machine, and that every computable transition system with a bounded branching degree is simulated up to divergence-preserving branching bisimilarity by a reactive Turing machine. We conclude from these results that there exist universal reactive Turing machines, and that the parallel composition of a finite number of (communicating) reactive Turing machines can be simulated by a single reactive Turing machine. We also establish a correspondence between reactive Turing machines and the process theory TCPtau, proving that a transition system can be simulated, up to branching bisimilarity, by a reactive Turing machine if, and only if, it is definable by a finite TCPtau-specification.
AB - We propose reactive Turing machines, extending classical Turing machines with a process-theoretical notion of interaction. We show that every effective transition system is simulated up to branching bisimilarity by a reactive Turing machine, and that every computable transition system with a bounded branching degree is simulated up to divergence-preserving branching bisimilarity by a reactive Turing machine. We conclude from these results that there exist universal reactive Turing machines, and that the parallel composition of a finite number of (communicating) reactive Turing machines can be simulated by a single reactive Turing machine. We also establish a correspondence between reactive Turing machines and the process theory TCPtau, proving that a transition system can be simulated, up to branching bisimilarity, by a reactive Turing machine if, and only if, it is definable by a finite TCPtau-specification.
M3 - Report
T3 - arXiv.org [cs.LO]
BT - Reactive Turing machines
PB - s.n.
ER -