Embedding Cellular Automata into Reversible Ones

نویسنده

  • Peter Hertling
چکیده

To oli showed that every cellular automaton of an arbitrary dimension d can be embedded into a reversible cellular automaton of dimension d+1. He asked \whether an arbitrary cellular automaton can be embedded in a reversible one having the same number of dimensions" and conjectured that this is not possible. We show that his conjecture is true. Even if one imposes only a weak, natural condition on embeddings, no cellular automaton which possesses a Garden of Eden con guration can be embedded into a reversible cellular automaton of the same dimension.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Evolutionary QCA Fault-Tolerant Reversible Full Adder

Today, the use of CMOS technology for the manufacture of electronic ICs has faced many limitations. Many alternatives to CMOS technology are offered and made every day. Quantum-dot cellular automata (QCA) is one of the most widely used. QCA gates and circuits have many advantages including small size, low power consumption and high speed. On the other hand, using special digital gates called re...

متن کامل

Reversible space-time simulation of cellular automata

We brieey recall the deenitions of Cellular automata (ca), simulation, re-versibility and Partitioned cellular automata (pca) as deened by Morita. We call the sequence of the iterated conngurations of a connguration a space-time diagram. We deene an embedding relation between space-time diagrams and a space-time simulation relation between ca. We built a space-time simulation of any ca by a rev...

متن کامل

Novel Design of n-bit Controllable Inverter by Quantum-dot Cellular Automata

Application of quantum-dot is a promising technology for implementing digital systems at nano-scale.  Quantum-dot Cellular Automata (QCA) is a system with low power consumption and a potentially high density and regularity. Also, QCA supports the new devices with nanotechnology architecture. This technique works </...

متن کامل

Reversible Computation in Asynchronous Cellular Automata

Reversible computation has attracted much attention over the years, not only for its promise for computers with radically reduced power consumption, but also for its importance for Quantum Computing. Though studied extensively in a great variety of synchronous computation models, it is virtually unexplored in an asynchronous framework. Particularly suitable asynchronous models for the study of ...

متن کامل

Non-gibbsianness of the Invariant Measures of Non-reversible Cellular Automata with Totally Asymmetric Noise

We present a class of random cellular automata with multiple invariant measures which are all non-Gibbsian. The automata have configuration space {O,1f"d , with d > 1, and they are noisy versions of automata with the "eroder property". The noise is totally asymmetric in the sense that it allows random flippings of "0" into "1" but not the converse. We prove that all invariant measures assign to...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997