Chapter 0: Q9E (page 27)
Write a formal description of the following graph.
The formal description of the graph is:
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Using the solution you gave to Exercise 1.25, give a formal description of the machines and depicted in Exercise 1.24
Let . For each , let be the language consisting of all strings that contain an a exactly K places from the right-hand end.
Thus . Describe an NFA with states that recognizes in terms of both a state diagram and a formal description.
Riceโs theorem. Let P be any nontrivial property of the language of a Turing machine. Prove that the problem of determining whether a given Turing machineโs language has property P is undecidable. In more formal terms, let P be a language consisting of Turing machine descriptions where P fulfils two conditions. First, P is nontrivialโit contains some, but not all, TM descriptions. Second, P is a property of the TMโs languageโwhenever , we have if and only iff . Here, and are any TMs. Prove that P is an undecidable language.
Show that the class of context-free languages is closed under the regular operations, union, concatenation, and star.
Let be strings and let L be any language. We say that x and y are distinguishable by L if some string Z exists whereby exactly one of the strings is a member of L ; otherwise, for every string z , we have whenever and we say that are indistinguishable by L. If are indistinguishable by L, we write x โกL y. Show thatis an equivalence relation.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
