A reversible cellular automaton is a cellular automaton in which every configuration has a unique predecessor. That is, it is a regular grid of cells...

A cellular automaton (pl. cellular automata, abbrev. CA) is a discrete model of computation studied in automata theory. Cellular automata are also called...

a cellular automaton is reversible globally if and only if it is reversible at the block level. The ease of designing reversible block cellular automata...

experiment of 1867 Reverse computation Reversible cellular automaton – Cellular automaton that can be run backwards Reversible dynamics – Type of physical or...

A second-order cellular automaton is a type of reversible cellular automaton (CA) invented by Edward Fredkin where the state of a cell at time t depends...

A quantum cellular automaton (QCA) is an abstract model of quantum computation, devised in analogy to conventional models of cellular automata introduced...

Critters is a reversible block cellular automaton with similar dynamics to Conway's Game of Life, first described by Tommaso Toffoli and Norman Margolus...

In a cellular automaton, a Garden of Eden is a configuration that has no predecessor. It can be the initial configuration of the automaton but cannot...

Canadian-American physicist and computer scientist, known for his work on cellular automata and reversible computing. He is a research affiliate with the Computer Science...

computer Block cellular automaton CAM-6 Computronium Critters (cellular automaton) Programmable matter Reversible cellular automaton Toffoli, Tommaso...

(asymptotical) stability of motion? Is every reversible cellular automaton in three or more dimensions locally reversible? Sudoku: How many puzzles have exactly...

theorem is that, for reversible cellular automata, the reverse dynamics of the automaton can also be described by a cellular automaton. An alphabet is any...

computers on several types of reversible cellular automaton, including block cellular automata and second-order cellular automata. In these simulations...

of automaton. This automaton consists of states (represented in the figure by circles) and transitions (represented by arrows). As the automaton sees...

semigroup Special classes of semigroups Orthodox semigroup Reversible cellular automaton § One-dimensional automata Biryukov (1970); Fennemore (1970);...

mathematics, a surjunctive group is a group such that every injective cellular automaton with the group elements as its cells is also surjective. Surjunctive...

making it extremely practical to perform computing with them. A cellular automaton (CA) is a discrete dynamical system consisting of a uniform (finite...

translation-invariant and continuous) stating that every injective automaton is surjective and therefore also reversible. Ceccherini-Silberstein & Coornaert (2010) p. 276...

queries; in 2010, iMaat, a digital universe based on a proprietary reversible cellular automaton. The department of Psychoneurophysiology was one of the first...

quantum logic gates are reversible. It is possible to perform classical computing using only reversible gates. For example, the reversible Toffoli gate can implement...

dating back to the 1960s, states that the entire universe is a huge cellular automaton which continuously updates its rules. Recently it has been suggested...

(SRDs), reversible proposals are presented in the "Synthesis Strategy of Reversible Circuits on DNA Computers" paper for implementing reversible gates and...

work on reversible computing and cellular automata. While Konrad Zuse's book, Calculating Space (1969), mentioned the importance of reversible computation...

physical entropy. Quantum circuits are reversible as long as they do not collapse quantum states, and reversible functions are bijective, meaning they...

block cellular automata in which the cells of the automaton are the rhombi of a rhombille tiling and the blocks in alternating steps of the automaton are...

logic-based automaton, not requiring a physical body but based on the changing states of the cells in an infinite grid – the first cellular automaton. It was...

to the non-negative integers we call the system a semi-cascade. A cellular automaton is a tuple (T, M, Φ), with T a lattice such as the integers or a higher-dimensional...

whether a given cellular automaton rule in two or more dimensions is reversible. For one-dimensional cellular automata, reversibility is known to be decidable...

and half-adders. The same circuits can also be implemented in classical reversible computation, as both CNOT and Toffoli are also classical logic gates....

spanned across several orders of magnitude. Some of these systems are reversible, such as demagnetisation (by heating a magnet to its Curie temperature)...