In computational complexity theory, arithmetic circuits are the standard model for computing polynomials. Informally, an arithmetic circuit takes as inputs either variables or numbers, and is allowed to either add or multiply two expressions it has already computed. Arithmetic circuits provide a formal way to understand the complexity of computing polynomials. The basic type of question in this line of research is "what is the most efficient way to compute a given polynomial ?"
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computational complexity theory, arithmeticcircuits are the standard model for computing polynomials. Informally, an arithmeticcircuit takes as inputs...
In theoretical computer science, circuitcomplexity is a branch of computational complexity theory in which Boolean functions are classified according...
In computing, an arithmetic logic unit (ALU) is a combinational digital circuit that performs arithmetic and bitwise operations on integer binary numbers...
VNP may refer to: VNP, standing for Valiant's NP, an arithmeticcircuitcomplexity class Ventricular Natriuretic Peptide, an alternative name for Brain...
computational complexity theory and circuitcomplexity, a Boolean circuit is a mathematical model for combinational digital logic circuits. A formal language...
sometimes called the "arithmeticcomplexity" (although in this context it is the exact count and not the asymptotic complexity that is being considered)...
communication (used in communication complexity), the number of gates in a circuit (used in circuitcomplexity) and the number of processors (used in...
Arithmetic is an elementary branch of mathematics that studies numerical operations like addition, subtraction, multiplication, and division. In a wider...
lower bound for matrix-multiplication complexity is Ω(n2 log(n)), for bounded coefficient arithmeticcircuits over the real or complex numbers, and is...
an arithmeticcircuit that computes a polynomial p in a field, and decides whether p is the zero polynomial. Determining the computational complexity required...
based electronics. Photonic integrated circuits that use light such as Lightelligence's PACE (Photonic Arithmetic Computing Engine) also being developed...
parallelization on modern computer architectures Arithmeticcircuitcomplexity theory studies the computational complexity of evaluating different polynomials. Carnicer...
computation, such as the quantum circuit model or the equivalent quantum Turing machine. One of the main aims of quantum complexity theory is to find out how...
(mathematics), process control, worst-case analysis of electric circuits, and more. In affine arithmetic, each input or computed quantity x is represented by a...
"Computational Complexity of Games and Puzzles". Fischer, Michael J.; Rabin, Michael O. (1974). "Super-Exponential Complexity of Presburger Arithmetic". Proceedings...
computational complexity theory, Håstad's switching lemma is a key tool for proving lower bounds on the size of constant-depth Boolean circuits. It was first...
also the same as the circuitcomplexity class DLOGTIME-uniform AC0. Here, AC0 describes the problems that can be computed by circuits of AND gates and OR...
of modular values. The arithmetic of a residue numeral system is also called multi-modular arithmetic. Multi-modular arithmetic is widely used for computation...
can be described with Boolean logic. Logic circuits include such devices as multiplexers, registers, arithmetic logic units (ALUs), and computer memory,...
Descriptive complexity is a branch of computational complexity theory and of finite model theory that characterizes complexity classes by the type of logic...
In computational complexity theory, an integer circuit is a circuit model of computation in which inputs to the circuit are sets of integers and each gate...
arithmetic, the BIT predicate, and the notion of a first-order query) and complexity theory (including formal languages, resource-bounded complexity classes...
electronic circuitry executes instructions of a computer program, such as arithmetic, logic, controlling, and input/output (I/O) operations. This role contrasts...