Let L be a strict subset of LAc (i.e. L c LACC). Then L is ( always / sometimes / never ) decidable.

Q: 6. Say whether each of the following is true or false. Give a brief explanation. • For every set A,…

A:

Q: 15. If S1 and S2 are two semialgebras of subsets of 2, show that the class S1S2 := {A1A2 : A1 e S1,…

A: Given : Given two semi algebra classes. Name of classes : S1 and S2.

Q: Suppose f : A → B is an injective function. Show that there is a function g : B → A such that g ◦ f…

A: An injective function, also known as a one-to-one function, is a type of function in…

Q: Sets 1. Let A, B, C C U be subsets of some universe U. Let S = [(AN B) \ C]U[(AnC)\ B]U [(BnC) \ A].…

A: Answer S contains all the elements which are contained in exactly two subsets, i.e. if x is an…

Q: 3. Prove that for any sets A, B and C, An (BUC)=(An B)U(ANC)

A: Here in this question we have asked to prove the distributive property applied on some set A B C.

Q: The homomorphism h is defined by h(a) = 01 and h(b) = 10. What is h(%%1%%2%%3%%4)?

A: A homomorphism is a mapping h with domain Σ ∗ for some alphabet Σ which preserves concatenation:h(v…

Q: G= ({S, A, B, C}, {a,b,c}, S, P) where P S → AB A AB|CB| a BAB b CAC C

A: NPDA stands for non-deterministic pushdown automaton. It is basically a type of computational model…

Q: 1. Is the following set of connectives functionally complete? Explain. {→, 1}

A: Given: The truth function are {0,1} {→,⊥}

Q: Take the polymorphic type for example: (c, h) -> (c -> h) -> (h, h) Make a list of all conceivable…

A: Answer has been explained below:-

Q: Consider the concept class C formed by 2-dimensional triangles in the plane. Any function c ∈ C is a…

A: 4. Verification:If a triangle is found that satisfies the above conditions, it is a valid…

Q: Define and/or explain the difference between a Function Theoretic Operation and Set Theoretic…

A: Set Theory Set theory is the branch of mathematics that deals with the formal properties and…

Q: 2) Is aa distinguishable from bb with respect to the set of strings over {a,b} that have an even…

A: ^b*(ab*ab*)*$^a*ba*(ba*ba*)*$The first regular expression ensures  there are an even number of a…

Q: 7. Let X be a set of cardinality n > 0. Let E be the set of all subsets of X with even cardinality…

A: Please refer to the explanation below. If you have any clarification please don't hesitate to…

Q: Let L = { | M is a TM that accepts sR whenever it accepts s } . Show that L is undecidable

A: Given Data : L = { <M> | M is a TM that accepts sR whenever it accepts s } To prove : L is…

Q: what is independent sets ? what is maximal independent set ? what is the independence number? what…

A: A set of vertices I is called independent set or a stable set, if no two vertices in set I are…

Q: K. Reversal & Homomorphism Let E = (10)* + (01)* h(0) = ab h(1)= ba 1. ER = ((10)* + (01)*)R = union…

A: Answer:)

Q: If A and B are sets and f: A→ B, then for any subset S of A we define f(S) = {be B: b= f(a) for some…

A:

Q: Let the universal set be the set ? of all real numbers and let ? = {x ∈ r |0 < x ≤ 2}, ? = {x ∈ r |1…

A: Lets see the solution.

Q: (k) L= {w: na (w) ≤n₂ (w)}. Construct npda that accepts the following language on

A: Given language is, L= {w : na(w)&lt;nb(w)} Set of input alphabets= {a, b} The language accepts the…

Q: Given A and B are sets, prove that (A ⋃ B) ⋃ C = A ⋃ (B ⋃ C) by showing (A ⋃ B) ⋃ C ⊆ A ⋃ (B ⋃ C)…

A: We are going to prove associative property in sets which is : (A ⋃ B) ⋃ C = A ⋃ (B ⋃ C). Please…

Q: For E= {a, b}, construct dfa's that accept the sets consists of (i) All strings with no more than…

A: all dfa are given below:-

Q: Let the universal set be R and let A = {x = R: 5 < x≤ 10}, B = {x = R: -5<x<6} and C= {xe R:…

A: (i) The Union operator joins or concatenates the elements of two different sets into a single set.…

Q: Redundant Inequalities:prove statement Let e1, e2 be two symbolic expressions defined in V ∪P and q…

A: given data: Let e1, e2 be two symbolic expressions defined in V ∪P and q ∈ V ∪P.c1, c2 are two…

Q: FA - ((А > В) > В)

A: Page 1

Q: Given: 1. ∀s1,s2 Subset(s1,s2) ⇔ [∀x Member(x,s1) ⇒ Member(x,s2)]. Prove: H. ∀s1,s2,s3…

A: To prove sentence φ from a set of axioms Γ:Step 1. Set ∆ = Γ ∪ {¬φ};Step 2. Convert ∆ to clausal…

Q: finite; a partial order on K such that, for all pairs x, y € K satisfying y and ry, the condition y…

A: A total order on K such that, for all pairs x, y € K satisfying both and x &gt; y, the condition y…

Q: c) Let V and W be sets. Use properties of sets to show that (VnW)U(V'U W)=V

A:

Q: Let T = { | M is a TM that accepts wk whenever it accepts w}. %3D Shoe that T is undecidable.

A: Given:

Q: LetΣ={a,b}. Let L be the set of all strings over Σ that end in the substring bbbb. Give three…

A: Let ∑={a,b} be set of symbols and L is the language over ∑* Two strings X and Y are distinguishable…

Q: 3) Is aa distinguishable from bb with respect to the set of strings over {a,b} that end with bbb? If…

A: Proved that the distinguishable from aa to bb in the given language

Q: Graphs G and H are isomorphic if the nodes of G may be reordered so that it is identical to H. Let…

A: Graphs G and H are isomorphic if the nodes of G may be reordered so that it is identical to H. Let…

Q: (a) Is 2 ⊆ {2, 4, 6}? (b) Is {3} ∈ {1, 3, 5}?

A: The symbol ∈ indicates set membership and means “is an element of” so that the statement x∈A means…

Q: L= { am bn | m < n} This language is/isn't Regular? Prove it using with Pumping Lemma.

A: L=am bn | m&lt;n is not regular. Let us assume to the contrary that Language L is regular.

Q: 4. Let A, B and C be sets, and let g: A → B and f: B → C be functions. Prove: (i) If f, g are…

A: The contradicts the fact that f.g is transcriptional.then fog must be injective

Q: A= B if and only if : * A is subset from B and B is not subset from A A is not subset from B and B…

A: Find the answer with explanation given as below :

Q: Let L be a strict subset of LACC (i.e. L C LACC). Then L is ( always / sometimes / never )…

A: Proper Subset L and LACC

Q: Show that the classes closed under concatenation difference and complementation. se are union

A: Given:

Q: State whether the following claim is true or false and prove your answer. Claim: For any…

A: For any non-empty alphabet, the claim in question discusses the existence of a language that is both…

Q: Deterministic Finite Acceptors (DFAs) For = {a,b), construct a DFA that accepts the set consisting…

A: DFA stands for Deterministic Finite Automata.It is  a  finite state machines that accept or reject…