1. Computability in classical physics: where do we stand?

2. The issue of physical computability depends partly on what kind of question we are proposing to ask of the system.

3. The issue of computability is an important one generally in mathematics.

4. Yet the concept of computability remains the same, whichever of these various approaches is adopted.

5. Now, where do we stand with regard to computability in classical theory?

6. And what about the computability theory for actual physical devices?

7. The computability theory is one of the vital and hard problems in computer scientific research nowadays.

8. The series papers systematic discuss the computability and the computational capacity of DNA molecular using the formal language and automata theory.

9. The core issue of the computability theory is to establish mathematic model of the computation and then decide its computability.

10. For a more advanced graduate course, computability theory and computational complexity theory are also covered.

11. The proofs of computability give rise to Turing algorithms, which may possibly be translated into numerical algorithms.

12. Matin D . Davis , Computability, Complexity, and Languages, Academic Press[Sentencedict.com], 1983.

13. In one word, the task of interactive computability theory is to determine the computing capability of interactive systems and interaction mechanisms.

14. The series papers systematically discuss the computability and the computational capacity of DNA molecular using the formal language and automata theory.

15. This includes computability theory, computational complexity theory, and information theory.

16. It is a formal theory of computability in the same sense as classical logic is a formal theory of truth.

17. With the use of computability theory dividing whole-word coding into two parts: writing-input coding and computational coding, an method of none keyboard mapping for spelling language is proposed.

18. Computability theory examines the limitations of various theoretical models of the computer, including the most powerful known model – the Turing machine.

19. This makes classical logic a special fragment of computability logic.http://sentencedict.com/computability.html

20. In general, questions of what can be computed by various machines are investigated in computability theory.

21. A more extensive and theoretical treatment of the material in 18.400 J, Automata , Computability, and Complexity computabilitytheory.

22. This fact makes them very suitable for theoretical investigations of computability questions.

23. They are formalized as games played by a machine against its environment, and computability means existence of a machine that wins the game against any possible behavior by the environment.

24. Based on the NP complete theory, and setting off from the problem's computability and complexity, the principle and realizing process of the greed algorithm are proposed in this paper.

25. The three main research areas of the theory are: formal language and automata theory, computability theory and the computing complexity theory.

26. For curricula automata subject a more advanced graduate course, computability theory and computational complexity theory are also covered.

27. The following table shows some of the classes of problems that are considered in computability theory and complexity theory.

28. Besides classical logic, linear logic (understood in a relaxed sense) and intuitionistic logic also turn out to be natural fragments of computability logic.

29. Hence meaningful concepts of "intuitionistic truth" and "linear-logic truth" can be derived from the semantics of computability logic.

30. The basic properties of the infinite computation are studied. The concept of the procedure schemata computable functional based on the relative computability theory is introduced.