Give a decision procedure for each of the following problems; argue that your procedure is correct: Given two regular languages R1 and R2, is it true that there are fifinitely many strings that belong to both languages? Given a regular language R and a context-free language C, both over the alphabet {a, b}, is it true that C contains exactly 2 strings that – consist only of a’s and – are not in R

Q: Build a deterministic and complete PDA for the language over the alphabet Σ={a,b} that consists of…

A: Yes, here is a methodical way to construct a deterministic and comprehensive PDA for the language of…

Q: Find CFGs that for these regular languages over the alphabet Σ = {a, b}. Draw a Finite Automata…

A: In this question we have to design Finite Automata for the given language then find the CFGs for all…

Q: For each of the languages below, determine whether the language is regular or not. If the language…

A: Here is the solution:-

Q: Give an algorithm to determine if a string w is in a context-free language L given a grammar for the…

A: In case of regular languages, it is comparatively easy , but for Context Free languages. Pumping…

Q: show that Every context-free language is a member of P.

A: All regularly used languages are context-free but all context-free languages which we use in the…

Q: Explain the difference between pumping lemma for regular languages and pumping lemma for context…

A: The question is to explain the difference between pumping lemma for regular languages and pumping…

Q: Consider the language L = {a'b'c* | i # j,j # k, i # k}; it is not a context- free language. Show…

A: Pumping lemma for CFL is used to prove the language is not cfl using some valid string s.  Never use…

Q: Problem 3 For a language LCE*, define odd(L) := {w E L : w| is odd} (a) Show that if L is regular…

A: Every finite set represents a regular language. Example 1 – All strings of length = 2 over {a, b}*…

Q: L* is regular, then L must be regular. For any language L, L* must be regular If L1L2 is regular,…

A: Note As Per over guidelines we will solve three sub part remaining sub part post separately i did 2…

Q: abb and bab. Note that the substrings ca

A:

Q: Is the language composed of all strings over the alphabet {a,b} that contain an odd number of a's a…

A: Answer: Yes, Σ = a, b, L=w  no of a's in w are odd; is a regular language.

Q: Let Σ be a non-empty alphabet and LCE* be a context-free language. Which of the following languages…

A: reverse_1(L): Given a language L ⊆ Σ*, reverse_1(L) = {xy : ∃x, y ∈ Σ*, x ∈ L and yR ∈…

Q: List the various categories of software and the unique features that each category offers.

A: Software is a set of instructions, data or programs used to operate computers and execute specific…

Q: A language L is called slithy if it contains at least two strings and has the following property:…

A: The answer to the question is given below:

Q: Find CFGs that for these regular languages over the alphabet Σ = {a, b}. Draw a Finite Automatafirst…

A: Let's tackle each of these languages one by one.(a) Language of all words containing the substring…

Q: 1. Prove that in the alphabet Σ = {a,b}, the language A = {w/w has the form a"b" a" for some…

A: A language is defined as a set of strings of symbols that may be constrained by specific…

Q: Question: 1. Using the pumping lemma for context-free languages, prove the following language is not…

A: here i am applying pumping lemma to satisfy , that is not context free language.…