What is computability and Decidability?
What is computability and Decidability?
Computability: determining if a problem can be solved in. finite time. Computabile ≡ Decidable in case of binary problems (i.e, with. a yes/no answer)
Are all real numbers computable?
Real numbers used in any explicit way in traditional mathematics are always computable in this sense. But as Turing pointed out, the overwhelming majority of all possible real numbers are not computable. For certainly there can be no more computable real numbers than there are possible Turing machines.
What is Turing computable function TOC?
A function is Turing computable if the function’s value can be computed with a Turing machine . More specifically, let D be a set of words in a given alphabet and let f be a function which maps elements of D to words on the same alphabet.
What are computable predicates?
A function whose value can be calculated by some Turing machine in a finite number of steps. Also known as effectively computable function.
What is Decidability in theory of computation?
A language is called Decidable or Recursive if there is a Turing machine which accepts and halts on every input string w. Every decidable language is Turing-Acceptable. A decision problem P is decidable if the language L of all yes instances to P is decidable.
Why is the simplest automata not an adequate model of computation?
The simplest automata used for computation is a finite automaton. It can compute only very primitive functions; therefore, it is not an adequate computation model. In addition, a finite-state machine’s inability to generalize computations hinders its power.
What is the difference between infinite automata and finite automata?
While an automaton is called finite if its model consists of a finite number of states and functions with finite strings of input and output, infinite automata have an “accessory” – either a stack or a tape that can be moved to the right or left, and can meet the same demands made on a machine.
What are the four major families of automata?
There are four major families of automaton : 1 Finite-state machine 2 Pushdown automata 3 Linear-bounded automata 4 Turing machine
What was the first person to discover finite automata?
They all shared a common interest: to model the human thought process, whether in the brain or in a computer. Warren McCulloch and Walter Pitts, two neurophysiologists, were the first to present a description of finite automata in 1943.
