NDLI: Undecidability Results for Finite Interactive Systems

Content Provider	IEEE Xplore Digital Library
Author	Sofronia, A. Popa, A. Stefanescu, G.
Copyright Year	2008
Description	Author affiliation: Dept. of Comput. Sci., Univ. of Bucharest, Bucharest, Romania (Sofronia, A.)
Abstract	This paper is on the foundations of a recent approach to the design of massively parallel and interactive programming languages using rv-systems (interactive systems with registers and voices) and Agapia programming. It includes a few theoretical results on FISs (finite interactive systems), the underlying mechanism used for specifying control and interaction in these systems. First, we give a proof for the undecidability of the emptiness problem for FISs by reduction to the post correspondence problem. Next, we use the proof to get other undecidability results, e.g., for the accessibility of a transition in a FIS, or for the finiteness of the language recognized by a FIS. Finally, we present a simple proof of the equivalence between FISs and tile systems, making explicit that they precisely capture recognizable two-dimensional languages.
Starting Page	366
Ending Page	369
File Size	185797
Page Count	4
File Format	PDF
ISBN	9780769535234
DOI	10.1109/SYNASC.2008.42
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-09-26
Publisher Place	Romania
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Algorithm design and analysis finite interactive systems Scientific computing interactive computation Control systems Computer science Computer languages Parallel programming decidability Interactive systems Tiles Agapia programming Functional programming Arithmetic
Content Type	Text
Resource Type	Article

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