DFA simulating NFA: the power set construction
Theorem (equivalence NFA-DFA): Any NFA N can be transformed to an equivalent DFA M.
Proof: Thanks to Lemma on ε-transitions, assume with no loss of generality which N = (S, A, f, s0, F) consists of no ε-transitions. Define M = (2S, A, f’, {s0}, F’) as follows. 2S is the power set of S, {s0} the initial state. F’ comprises of all such subsets R ⊆ S which have some final state of N that s, R ∩ F ≠ {}. f’: 2S x A -> 2S is defined as:
For R ∈ 2S and a ∈ A, f’(R, a) = {s ∈ S | s ∈ f(r, a) for some r ∈ R}.
N and M are equal due the given invariant: for all x ∈ A*, f’({s0}, x) = f(s0, x). QED
Illustration: Convert the NFA N converted to an ε-free NFA M. E(s1) = {s1, s3}. L = (a ∪ ba* (a ∪ b) a)* to an equivalent DFA
The power set construction tends to introduce the unreachable states. Such can be removed by using a transitive closure algorithm. Alternatively, we make states of M only as the corresponding subsets of S are being reached, therefore joining transitive closure with the construction of state space. For simplicity of comparison, let’s redraw the DFA above with no unreachable states, with a layout identical to illustration above. The non-determinism in illustration above: f(s2, a) = {s2, s3} is resolved by introducing the states {s2, s3} and {s1, s2, s3}:
Latest technology based Theory of Computation Online Tutoring Assistance
Tutors, at the www.tutorsglobe.com, take pledge to provide full satisfaction and assurance in Theory of Computation help via online tutoring. Students are getting 100% satisfaction by online tutors across the globe. Here you can get homework help for Theory of Computation, project ideas and tutorials. We provide email based Theory of Computation help. You can join us to ask queries 24x7 with live, experienced and qualified online tutors specialized in Theory of Computation. Through Online Tutoring, you would be able to complete your homework or assignments at your home. Tutors at the TutorsGlobe are committed to provide the best quality online tutoring assistance for Theory of Computation Homework help and assignment help services. They use their experience, as they have solved thousands of the Theory of Computation assignments, which may help you to solve your complex issues of Theory of Computation. TutorsGlobe assure for the best quality compliance to your homework. Compromise with quality is not in our dictionary. If we feel that we are not able to provide the homework help as per the deadline or given instruction by the student, we refund the money of the student without any delay.
tutorsglobe.com bio-patent assignment help-homework help by online crop diseases and their control tutors
Theory and lecture notes of Elasticity in microeconomic theory all along with the key concepts of Plasticity in microeconomic theory, Types of price elasticity of demand, Elastic demand, Inelastic demand. Tutorsglobe offers homework help, assignment help and tutor’s assistance on Elasticity in microeconomic theory.
Performance of Rectifiers tutorial all along with the key concepts of Half-Wave Rectifier, Average and RMS Values, Efficiency, Peak Inverse Voltage, Transformer Utilization Factor, Full-Wave Bridge Rectifier
Structure and Classification of Immunoglobulin tutorial all along with the key concepts of Molecular Structure of Antibodies, Classification of Antibodies, Function Relationship of Antibodies
Chemical properties of Carbohydrates tutorial all along with the key concepts of Reactions involving Carbohydrates, Osazone Formation, Chain Shortening and Lengthening and Formation of Glycosides
Precipitation Gravimetry tutorial all along with the key concepts of Solubility Considerations, How to obtain precipitate of high purity, Steps involved in Gravimetric Analysis, Preparation of the Solution, Precipitation, Filtration and Drying or igniting the precipitate
tutorsglobe.com financial administration assignment help-homework help by online subject matter of public finance tutors
tutorsglobe.com genetic engineering assignment help-homework help by online modern genetics tutors
tutorsglobe.com nonoxidative phase assignment help-homework help by online pentose phosphate pathway tutors
www.tutorsglobe.com offers Halsey-Weir Premium Plan homework help, assignment help, case study, writing homework help, online tutoring assistance by accounting tutors.
Get Financial Management Assignment Help to meet up high expectations of your professors and to score high at low prices.
www.tutorsglobe.com offers construction of financial statements answering questions, construction of financial statements homework help, construction of financial statements assignment help, accounting solutions by tutors help.
the emergent properties are defined for the whole system when all its parts are summed up to make it one. these properties are not related specifically to any one component.
tutorsglobe.com activation of fatty acids assignment help-homework help by online oxidation of fatty acids tutors
tutorsglobe.com pitcher assignment help-homework help by online leaf modification tutors
1942630
Questions Asked
3689
Tutors
1455454
Questions Answered
Start Excelling in your courses, Ask an Expert and get answers for your homework and assignments!!