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Models of computation
Hypercomputation or super-Turing computation is a set of hypothetical models of computation that can provide outputs that are not Turing-computable. For
Hypercomputation
Australian philosopher (born 1979)
we do. Ord has written papers on the viability and potentials for hypercomputation, models of computation that can provide outputs that are not Turing-computable
Toby_Ord
Any type of calculation
Computability theory Hypercomputation Limits of computation Numerical computation The study of non-computable statements is the field of hypercomputation. "Definition
Computation
Mathematical function that can be computed by a program
formula in the language of second-order arithmetic and to some models of hypercomputation. Even more general recursion theories have been studied, such as E-recursion
Computable_function
Thesis on the nature of computability
between the Church–Turing thesis and physics, and the possibility of hypercomputation. When applied to physics, the thesis has several possible meanings:
Church–Turing_thesis
Ability to solve a problem by an effective procedure
notions stronger than Turing machines are studied in the field of hypercomputation. A central idea in computability is that of a (computational) problem
Computability
Computer scientist
University in 1993 under Eduardo Sontag. Her dissertation was on the hypercomputation. She earned an M.Sc. in Computer Science at Hebrew University in 1992
Hava_Siegelmann
Symbolic description of a mathematical object
Signature (logic) The study of non-computable statements is the field of hypercomputation. For a full history, see Cardone and Hindley's "History of Lambda-calculus
Expression_(mathematics)
Hardware cache of a central processing unit
Quantum Nondeterministic Turing machine Probabilistic Turing machine Hypercomputation Zeno machine Belt machine Stack machine Register machines Counter Pointer
CPU_cache
Brazilian scientist and philosopher
Syropoulos, Hypercomputation: Computing Beyond the Church–Turing Barrier, Springer (2008). Describes the contribution to hypercomputation theories by
Francisco_Dória
Infinitely many tasks in finite time
A supertask is a countably infinite sequence of operations that occur sequentially within a finite interval of time. Supertasks are called hypertasks when
Supertask
Digital circuit that produces sums from inputs
Quantum Nondeterministic Turing machine Probabilistic Turing machine Hypercomputation Zeno machine Belt machine Stack machine Register machines Counter Pointer
Adder_(electronics)
Method of CPU communication
Quantum Nondeterministic Turing machine Probabilistic Turing machine Hypercomputation Zeno machine Belt machine Stack machine Register machines Counter Pointer
Memory-mapped I/O and port-mapped I/O
Memory-mapped_I/O_and_port-mapped_I/O
currently cannot be explained by closed-form limits. Digital physics Hypercomputation Matrioshka brain Physics of computation Programmable matter Quantum
Limits_of_computation
Combinational digital circuit
Quantum Nondeterministic Turing machine Probabilistic Turing machine Hypercomputation Zeno machine Belt machine Stack machine Register machines Counter Pointer
Arithmetic_logic_unit
Processor design concept
Quantum Nondeterministic Turing machine Probabilistic Turing machine Hypercomputation Zeno machine Belt machine Stack machine Register machines Counter Pointer
Translation_lookaside_buffer
Digital physics Computation Theory of computation Reversible computation Hypercomputation Limits to computation Bremermann's limit Bekenstein bound Lloyd, S
Physics_of_computation
Generalization of ordinary algorithms that compute more than Turing machines
theory, super-recursive algorithms are posited as a generalization of hypercomputation: hypothetical algorithms that are more powerful, that is, compute more
Super-recursive_algorithm
calculus Computability logic Game semantics Human-based computation Hypercomputation Interactive programming Membrane computing Quasi-empiricism RE (complexity)
Interactive_computation
American academic, conspiracy theorist, and Holocaust denier
Selmer Bringsjord & Michael John Zenzen, Superminds: People Harness Hypercomputation, and More (Dordrecht: Kluwer Academic Publishers, 2003), pp xx–xxi:
James_Fetzer
Claim that human mathematicians are not describable as formal proof systems
the argument's precise point of failure is not explicitly revealed. Hypercomputation Orchestrated objective reduction Gödel's incompleteness theorems Logic
Penrose–Lucas_argument
and later contributed to research on advanced computing theories (hypercomputation). Unbounded nondeterminism is often discussed alongside the concept
Unbounded_nondeterminism
Type of relativistic spacetime
allow for the implementation of certain non-Turing computable tasks (hypercomputation). The idea is for an observer at some event in p's past to set a computer
Malament–Hogarth_spacetime
Concept in computability theory
prohibited by the holographic principle and the Bekenstein bound. Hypercomputation, for other such powerful machines. Real RAM. Quantum finite automaton
Real_computation
New Zealand (British born) philosopher, logician and historian of science
He is one of the people responsible for identifying the concept of hypercomputation and machines more capable than Turing machines. With Jason Long he
Jack_Copeland
Model of computation over real numbers
numbers. Complexity and Real Computation General purpose analog computer Hypercomputation Real computer Quantum finite automaton Blum, Lenore; Shub, Mike; Smale
Blum–Shub–Smale_machine
Computing by new or unusual methods
computing (disambiguation) WDR paper computer MONIAC hydraulic computer Hypercomputation Receptron "Unconventional Models of Computation 1998". C.S. Calude
Unconventional_computing
American computer and cognitive scientist
Lawrence Erlbaum).(2007) with Zenzen, M. Superminds: People Harness Hypercomputation, and More (Dordrecht, The Netherlands: Kluwer). (2003) ISBN 978-1402010958
Selmer_Bringsjord
Security-related instruction code processor extension
Quantum Nondeterministic Turing machine Probabilistic Turing machine Hypercomputation Zeno machine Belt machine Stack machine Register machines Counter Pointer
Software_Guard_Extensions
Academic journal
45–68. doi:10.1007/BF00974189. S2CID 879875. Copeland, B. J. (2002). "Hypercomputation". Minds and Machines. 12 (4): 461–502. doi:10.1023/A:1021105915386
Minds_and_Machines
Problems with central processing unit design
Quantum Nondeterministic Turing machine Probabilistic Turing machine Hypercomputation Zeno machine Belt machine Stack machine Register machines Counter Pointer
Hazard (computer architecture)
Hazard_(computer_architecture)
American mathematician
theory of infinite-time Turing machines, a part of the subject of hypercomputation, with connections to descriptive set theory. In other computability
Joel_David_Hamkins
Hypothetical computational model
In mathematics and computer science, Zeno machines (abbreviated ZM, and also called accelerated Turing machine, ATM) are a hypothetical computational model
Zeno_machine
Type of digital adder
Quantum Nondeterministic Turing machine Probabilistic Turing machine Hypercomputation Zeno machine Belt machine Stack machine Register machines Counter Pointer
Carry-save_adder
Quantum Nondeterministic Turing machine Probabilistic Turing machine Hypercomputation Zeno machine Belt machine Stack machine Register machines Counter Pointer
Redundant binary representation
Redundant_binary_representation
Multiple-agent system Parameterized complexity Process calculi Pi-calculus Hypercomputation Real computation Computable analysis Weihrauch reducibility List of
List of computability and complexity topics
List_of_computability_and_complexity_topics
Computer hardware technology
Quantum Nondeterministic Turing machine Probabilistic Turing machine Hypercomputation Zeno machine Belt machine Stack machine Register machines Counter Pointer
Trusted_Execution_Technology
Axiomatic set theories based on the principles of mathematical constructivism
intuitionistic mathematics has models in recursive functions but also forms of hypercomputation. In this section the strength of E C S T + E x p {\displaystyle {\mathsf
Constructive_set_theory
Register in a computer's CPU
Quantum Nondeterministic Turing machine Probabilistic Turing machine Hypercomputation Zeno machine Belt machine Stack machine Register machines Counter Pointer
Memory_buffer_register
NP-complete Time hierarchy theorem Space hierarchy theorem Natural proof Hypercomputation Oracle machine Rózsa Péter Alonzo Church Emil Post Alan Turing Jacques
List of mathematical logic topics
List_of_mathematical_logic_topics
Circuit that performs subtraction
Quantum Nondeterministic Turing machine Probabilistic Turing machine Hypercomputation Zeno machine Belt machine Stack machine Register machines Counter Pointer
Subtractor
Nicosia, Cyprus, March 14–17, 2004. Petrus Potgieter. Zeno machines and hypercomputation 2005 Carl Hewitt What is Commitment?Physical, Organizational, and Social
Actor_model_theory
Brazilian philosopher and mathematician (1929–2024)
Blackwell, 2005. N.C.A. da Costa (with F. A. Doria), Some thoughts on hypercomputation, Applied Mathematics and Computation, vol. 178 (2006) 83–92. N.C.A
Newton_da_Costa
Italian–American philosopher (born 1970)
ISBN 978-1-003-45853-1. Arkoudas, Konstantine (2008-12-01). "Computation, hypercomputation, and physical science". Journal of Applied Logic. The Philosophy of
Gualtiero_Piccinini
Method of solving computing problems
Computing Computationalism Real computation Reversible computation Hypercomputation Computation Computational problem Unconventional computing de Bono
Lateral_computing
Higher level of microcode
Quantum Nondeterministic Turing machine Probabilistic Turing machine Hypercomputation Zeno machine Belt machine Stack machine Register machines Counter Pointer
Millicode
"super-Turing" model of computation; it is consequently related to work in hypercomputation theory. The most commonly encountered X-machine variant is Gilbert
X-machine
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