The Experts below are selected from a list of 12 Experts worldwide ranked by ideXlab platform
Robert I. Soare - One of the best experts on this subject based on the ideXlab platform.
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why turing s thesis is not a thesis
2015Co-Authors: Robert I. SoareAbstract:In 1936 Alan Turing showed that any Effectively Calculable Function is computable by a Turing machine. Scholars at the time, such as Kurt Godel and Alonzo Church, regarded this as a convincing demonstration of this claim, not as a mere hypothesis in need of continual reexamination and justification. In 1988 Robin Gandy said that Turing’s analysis “proves a theorem.” However, Stephen C. Kleene introduced the term “thesis” in 1943 and in his book in 1952. Since then it has been known as “Turing’s Thesis.” Here we discuss whether it is a thesis, a definition, or a theorem. This is important to determine what Turing actually accomplished.
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The history and concept of computability
1999Co-Authors: Robert I. SoareAbstract:We consider the informal concept of a “computable ” or “Effectively Calculable” Function on natural numbers and two of the formalisms used to define it, computability” and “(general) recursiveness. ” We consider their origin, exact technical definition, concepts, history, how they became fixed in their present roles, and ho
Syed Asif Ali Shah - One of the best experts on this subject based on the ideXlab platform.
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Formulating DNA Chains Using Effective Calculability
2018Co-Authors: Syed Atif Ali Shah, Zafar Khan, Zubia Rauf, Syed Asif Ali ShahAbstract:Nearly all computational algorithms are modeled as ‘Effective Calculability’ i.e Finite State Model and Lambda Calculus. Effectively Calculable Function Comprise of three parts: the info, the yield, and the finite state Function or transition Function. It takes stream of data as input and translates to specific output, as defined by transition Function [1]. The aftereffect of this conversion is another flood of information or the yield. Both i.e info and yield information streams comprise of arrangements of characters and are known as strings. DNA exhibits a property of being a pattern of strings. Automatic machines like automata and Lambda Calculus or simply the Effective Calculability [8] can be an efficient approach to study these patterns. By the introduction of Effective Calculability we can express the pattern of DNA in much better way. The transition Function runs stepwise each character of the information string to produce the output string. The transformations achieved by the transition Function are relatively simple in nature. Complex computations and operations can be affected by linking together several Effective Calculability switches so that the output string of one switch becomes the input string of another switch.
Syed Atif Ali Shah - One of the best experts on this subject based on the ideXlab platform.
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Formulating DNA Chains Using Effective Calculability
2018Co-Authors: Syed Atif Ali Shah, Zafar Khan, Zubia Rauf, Syed Asif Ali ShahAbstract:Nearly all computational algorithms are modeled as ‘Effective Calculability’ i.e Finite State Model and Lambda Calculus. Effectively Calculable Function Comprise of three parts: the info, the yield, and the finite state Function or transition Function. It takes stream of data as input and translates to specific output, as defined by transition Function [1]. The aftereffect of this conversion is another flood of information or the yield. Both i.e info and yield information streams comprise of arrangements of characters and are known as strings. DNA exhibits a property of being a pattern of strings. Automatic machines like automata and Lambda Calculus or simply the Effective Calculability [8] can be an efficient approach to study these patterns. By the introduction of Effective Calculability we can express the pattern of DNA in much better way. The transition Function runs stepwise each character of the information string to produce the output string. The transformations achieved by the transition Function are relatively simple in nature. Complex computations and operations can be affected by linking together several Effective Calculability switches so that the output string of one switch becomes the input string of another switch.
David Turner - One of the best experts on this subject based on the ideXlab platform.
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Church’s Thesis and Functional Programming
University Press, 2004Co-Authors: David TurnerAbstract:The earliest statement of Church’s Thesis, from Church (1936) p356 is\ud \ud We now define the notion, already discussed, of an Effectively Calculable Function of positive integers by identifying it with the notion of a recursive Function of positive integers (or of a lambda- definable Function of positive integers).\ud \ud The phrase in parentheses refers to the apparatus which Church had developed to investigate this and other problems in the foundations of mathematics: the calculus of lambda conversion. Both the Thesis and the lambda calculus have been of seminal influence on the development of Computing Science. The main subject of this article is the lambda calculus but I will begin with a brief sketch of the emergence of the Thesis
Zafar Khan - One of the best experts on this subject based on the ideXlab platform.
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Formulating DNA Chains Using Effective Calculability
2018Co-Authors: Syed Atif Ali Shah, Zafar Khan, Zubia Rauf, Syed Asif Ali ShahAbstract:Nearly all computational algorithms are modeled as ‘Effective Calculability’ i.e Finite State Model and Lambda Calculus. Effectively Calculable Function Comprise of three parts: the info, the yield, and the finite state Function or transition Function. It takes stream of data as input and translates to specific output, as defined by transition Function [1]. The aftereffect of this conversion is another flood of information or the yield. Both i.e info and yield information streams comprise of arrangements of characters and are known as strings. DNA exhibits a property of being a pattern of strings. Automatic machines like automata and Lambda Calculus or simply the Effective Calculability [8] can be an efficient approach to study these patterns. By the introduction of Effective Calculability we can express the pattern of DNA in much better way. The transition Function runs stepwise each character of the information string to produce the output string. The transformations achieved by the transition Function are relatively simple in nature. Complex computations and operations can be affected by linking together several Effective Calculability switches so that the output string of one switch becomes the input string of another switch.
