cnf probability calculator. 3723834465 $$ $$ P(2) = 0. cnf probability calculator

 
3723834465 $$ $$ P(2) = 0cnf probability calculator  First off, log on to the new IRCTC website

96) # 0. Lies, Damned Lies, and Statistics. Interpretation: There is a 66. Z-score calculator. S0 - the initial state vector. (फोटो: PTI) रेलवे का टिकट कन्फर्म होगा या नहीं. A k -CNF formula is an expression of the form T 1 ∧. disjunctive) form. This page will convert your propositional logic formula to conjunctive normal form. Related calculator: Truth Table CalculatorThis calculator will compute the cumulative distribution function (CDF) for the normal distribution (i. Event: Each possible outcome of a variable is called an event. How do we calculate the probability of an event? One way to do this is to find the number of favourable outcomes and to divide it by the total number of outcomes as follows: P (E) = n (E) / n (S) For our event E, where S is the sample space. According to Indian Railways, the CNF probability is determined by historical data of the train on the same date last year, the overall period of booking etc so that demand for seats in a. 5-8 In the Half 3-CNF Satisfiability problem, we are given a 3-CNF (3 conjunctive normal form) formula φ with n variables and m clauses where m is even. american odds of 110 would win £110 on a £100 bet. 8 wt%) was purchased from the University of Maine Process Development Center. 3 Implementing the Logic Calculator In this section we describe the modules and functionality of the Logic. Quick Menu Train Route Running Status Get PNR Status Check PNR Status and get instant confirmation chances of your waitlist tickets in Indian Railways. Trainman is the one stop shop for checking PNR status and prediction after train ticket booking on IRCTC. ConfirmTkt is one of the highest rated App to book IRCTC train tickets online. Normal distribution. To calculate the odds of rolling 9 or more we need to use the dice probability formula above and compute the probabilities for all possible outcomes of throwing the two dice: 9, 10, 11, and 12, then sum them up. Enter a problem Cooking Calculators. Relative to that of 0. e. the number of variables in the 3-CNF formula, and a sequence of events {En} is said to hold with high probability (abbreviated whp) if limn→∞ Pr[En] = 1. Definition (PageIndex{1}) The probability mass function (pmf) (or frequency function) of a discrete random variable (X) assigns probabilities to the possible values of the random variable. + β p X p) We then use some probability threshold to classify the observation as either 1 or 0. The idea behind the naive method for forecasting is to simply choose the data value from the previous period to estimate the next period. A->aA|B. We explore the importance of. CNF is useful for automated theorem proving. Based on our tests, it has accuracy of more than 90% and is increasing day by day. Variable X can take the values 1, 2, 3, and 4. 00 × 200 million = $10 billion; 2. Confidence Level: 70% 75% 80% 85% 90% 95% 98% 99% 99. Convert form from CNF to DNF. It implies that the passenger has a confirmed seat on the train. In case of waitlisted ticket, the user gets the option of checking the probability of confirmation under 'CNF Probability' button. In case of the waitlisted option, the user gets the option of checking the changes of confirmation in the form of a button, called "CNF Probability". At this point, the statement is in Negation Normal Form (NNF) Then, to get the statement into CNF, distribute $lor$ over $land$for any probability distribution D for any † (where0 • † < 1 2) for any – (where0 • – < 1 algorithm L on input † and – and a set of random examples picked from any probability distribution D outputs at least with a probability 1¡–, concept h such that error(h;f) • †. In Example 3. The probability mass function, f (x) = P (X = x), of a. 3072 for 12-sided dice; and. . In computer science, the clique problem is the computational problem of finding cliques (subsets of vertices, all adjacent to each other. μ = 0 μ = 0 σ = 1. To check CNF Probability, go to the IRCTC website and enter your desired ‘from’ and ‘to’ stations, date of journey along with other details. On the Satisfiability and Maximum Satisfiability of Random 3-CNF Formulas Andrei Z. Rutgers at 2 Michigan (, ) 4. probability-calculator. Number of events occurred, n (E): Number of possible outcomes, n (T): As you exemplified, CNF often contradicts this goal of "naturalness" because the expression is longer and often repeats subexpressions. Step 1: Eliminate start symbol from the RHS. 0. The value of Willy’s factory is $500,000 if there is no flood and $0 if there is a flood. P—w 1 —t − 1 –;X t. Chi-square test calculation details Chi-square tests compare the observed (O) and expected (E) frequencies of the subjects. Once you have entered all the data, click on Solve. Myy teacher converted F: ( A ∧ ¬ B) ∨ ( B ∧ D) to CNF form of ( A ∨ B) ∧ ( ¬ B ∨ D). 2. Titration. From Truth Table to DNF or CNF. The final result is that the value of this investment is worth $61,446 today. 4984209207 $$ $$ P(1) = 0. Statistics and probability 16 units · 157 skills. The Naive forecasting method of forecasting is one the easiest of all methods. the number of opportunities for event x to occur;This expected value calculator helps you to quickly and easily calculate the expected value (or mean) of a discrete random variable X. The purpose is to analyze these statements individually or. Quick Normal CDF Calculator. Systems of Equations Calculator, Elimination. Lingeling, a SAT solver from Austria has an option "-s" to simplify CNF clauses. Each clause connected by a conjunction, or AND, must be either a literal or contain a disjunction, or OR operator. NP-Completeness of 3-SAT. . We enter the degrees of freedom for v1 (10), the degrees of freedom for v2 (15), and the cumulative probability (0. You can try to verify the result with our conditional probability calculator if you want. Probability of a Normal Distribution. Example 2: Calculate the probability of getting an odd number if a dice is rolled. ) if the o(1) term is O(VZ-~) for any constant a. For help in using the calculator, read the Frequently-Asked Questions or review the Sample Problems . There are two such forms: Disjunctive Normal Form (DNF) Conjunctive Normal Form. 2. In this work, we consider the fixed processing latency τ P (f) of CNF f as its weight in the CNF deadline calculation,. Among three different CNFs, BU-CNF had the least damage on drainage efficiency and BU-CNF2 only increased the W300 by 15. 1. The probability of a flood is p = 1/6. The set of all strings that can be generated from a grammar is called the language of the grammar. These values can also be found in the. The best available odds for home team spreads are listed along with game totals across top sports betting apps. • People who do not have confirmed tickets can check for the probability of confirmation by clicking on ‘CNF Probability’ and it will be displayed in terms of per centage. The CDF is more helpful. Get confirm ticket easily with etrain. a logical (CNF) formula is satis able or not using probability theory methods. The disjunction of p and q is true whenever at least one of the two statements is true, and it is false. 2Which waiting list ticket railway confirm first? When passenger book railway ticket sometime they get confirm ticket and sometime they get waiting ticket. the probability distribution converges independent of the starting point. This combination calculator (n choose k calculator) is a tool that helps you not only determine the number of combinations in a set (often denoted as nCr), but it also shows you every single possible combination (or permutation) of your set, up to the length of 20 elements. Linear Regression Calculator. So, that verysame truth-value assignment will certainly set any subset of those conjuncts to true, meaning that that set is satisfiable. The complete binomial distribution table for this problem, with p = 0. ∧ T j with arbitrary length j ∈ N. SAT Solvers. The confirmation probability of RLWL tickets remains low. 2 2-CNF Formulas A 2-CNF formula is a CNF formula F in which every clause has at most two literals. The cumulative probability distribution is given below. It's pretty easy to see, that the number of terms must be less than or equal to the number of variables. cnf" symlinks to. Then, we plug our known inputs (degrees of freedom, sample mean, standard deviation, and population mean) into the T Distribution Calculator and hit the Calculate button. Aromatic hydrocarbons, such as toluene, have a high probability. Show more. Till Tantau. It is 86%, as you mention in the post yourself. So, if you have a waiting ticket and want to check the probability of the ticket getting confirmed, here’s the steps you need to follow. It makes sense that there are fewer choices for a combination than a permutation, since the redundancies are being removed. The key to a successful single event probability calculation and multiple event probability calculation is to correctly define the total number of outcomes. 07€, domain fee 28. P—w 1 —t − 1 –;X t. P (¬A) = probability of a not happening event. A Hamiltonian cycle is a closed loop on a graph where every node (vertex) is visited exactly once. First, we select "mean score" from the dropdown box in the T Distribution Calculator. Our normal distribution calculator will display two values: the probability of a person being taller than 185 cm (P (x > X) P(x > X) P (x > X)) and shorter than 185 cm (P (x < X) P(x < X. Then, Bayes rule can be expressed as: P (A|B) =. Just consider the most prominent operator of the formula, and work your way to the bottom recursively. This. This Z-test calculator is a tool that helps you perform a one-sample Z-test on the population's mean. Instructions: Use this calculator to compute probabilities associated to the sampling distribution of the sample proportion. Your IRCTC PNR status will be checked immediately, and you will be able to view whether your ticket is confirmed (CNF), placed on the. Propositional logic deals with statements that can be truth values, “true” and “false”. (w. NP -> ADJ NP [0. The CNF consists of conjunctions of one or more clauses. Step 2: In the grammar, remove the null, unit and useless productions. Disjunctive Normal Form (DNF) and Conjunctive Normal Form (CNF) The following truth table represents the function y = f(x n,. , negation) can be optionally applied only at the leaves • leaf level nodes are variables (with/without negation) Step 1: After making the k-map as before, enter the 0’s as maxterms. The fact that 3SAT is NP-complete is very useful, since you can reduce 3SAT to other problems and thus show that they in turn are NP-complete (or at least, NP-hard). When a tourist books a ticket, their reservation status may see as “CNF” if their booking has been confirmed and they have since assigned a seat or berth on to train. The conjunctive normal form states that a formula is in CNF if it is a conjunction of one or more than one clause, where each clause is a disjunction of literals. To calculate it yourself, you have to follow these steps: Calculate the number of all possible combinations of balls in the pool (49) and balls to be drawn (6) by using this formula: 49! / (6! · (49 - 6)!)Normal distribution probability density function is the Gauss function: where μ — mean, σ — standard deviation, σ ² — variance, Median and mode of Normal distribution equal to mean μ. 5,586 5 5 gold badges 43 43 silver badges 81 81 bronze badgesP (A) =1, indicates total certainty in an event A. Single Event Probability Calculator. The team would win 5 out of 6 games and lose 1 of them. In other words, its a possibility of expected event to occur based on the occurrence of previous event. CNF Converting to CNF Correctness Procedure to convert a CFG to CNF Main problem is unit" productions of the form A !B and -productions of the form B ! . Identifiers can be either upper or lower case letters: A, B, x, y. After processing this data, the calculator generates the sample means, demonstrating the results in a. 71293E−5 $$ Pie Chart for Probability Relative: The binomial probability calculator displays a pie chart for. CNF Probability is a ticket confirmation predictability method introduced in new website of IRCTC. There are 7 calculators in this category . Correlation and Regression. answered Oct 15, 2012 at 17:55. 38125 for 10-sided dice; P2 = 0. The normal. when passenger get waiting ticket there is a big problem is waiting ticket confirm or not. For example, the cumulative probability P(λ = 5; x < 4) = 0. Use the standard normal distribution to find one of the following probabilities: Hide steps. the number of logical connectives in ’. (r + n -1)! r! × (n - 1)! This free calculator can compute the number of possible permutations and. implies that a desirable outcome will occur. Our Central Limit Theorem Calculator provides an interactive way to understand and visualize the Central Limit Theorem in action. In case of the waitlisted option, the user gets the option of checking the changes of confirmation in the form of a button, called "CNF Probability". We can find the probability of an uncertain event by using the below formula. 2a, right). 1 Now any assignment. Use this binomial probability calculator to easily calculate binomial cumulative distribution function and probability mass given the probability on a single trial, the number of trials and events. n }, we will construct a 3-CNF formula F that is satisfiable if and only if F is satisfiable. 6. 88€ per year (virtual server 85. We will define a probability space where each assignment for $\varphi$ 's variables is selected with a uniform probability. The calculator will instantly compute the mean, variance, and standard deviation based on the provided data. It is showing RAC 32 and cnf probability of 86%. Inside and outside probabilities This suggests: whereas for an HMM we have: Forwards = i —t–. These and other qualities make it a useful tool in statistics and probability calculation of various sorts. indicating that newly-incoming CNF caching actions have a higher probability to hit the cached CNFs in the edge network, rather than being offloaded to the centralized cloud. + β p X p / (1 + e β 0 + β 1 X 1 + β 2 X 2 +. Also, invert the complements. Suppose X and Y are two independent random variables, each with the standard normal density (see Example 5. Half 3-CNF Satisfiability: CLRS 34. Random exampleNamely, the directory identified in line number 2. 2-SAT. Cumulative Distribution Function Calculator. Example calculation for determining the theoretical frequency response for CNF surface with adsorbed purified 100 nm particles for the 5 th overtone and comparing it to the non-normalized. Two events are independent events if the occurrence of one event does not affect the probability of the other event. 999%. Statistics Calculator . That’s why we created ProfitFarmers – an all-in-one platform that does most of the research, planning, and execution for you. 4055;Calculate the results: Once you have entered all the values and probabilities, click on the "Calculate" button. Alternatively, you can generate a random function by pressing the "Random example" button. CNF Refresh. Each clause contains one or more literals (boolean variables). 15% CNF, the flexural toughness of 0. Distribute instantly to the receiver. Use the binomial probability formula to calculate the probability of success (P) for all possible values of r you are interested in. Free online apps bundle from GeoGebra: get graphing, geometry, algebra, 3D, statistics, probability, all in one tool!WL 5/CNF; PNR status and seat availability. From: Mathematics for Electrical Engineering and. This recipe can be made plausible as follows:Z - Score Calculator. The with CNF probability means probability to Confirmation. In logic and computer science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY, SAT or B-SAT) is the problem of determining if there exists an interpretation that satisfies a given Boolean formula. To use the poker hand odds calculator, follow these easy steps: First, select which two cards you've been dealt. Take the conjunction of. Disjunctive normal form (BOTH dnf and cnf) example help. Free online calculators for exponents, math, fractions, factoring, plane geometry, solid. Viewed 42k times. 111287007 $$ $$ P(3) = 0. Using the formulas above, we can calculate: μ = ln(2) = 0. 3723834465 $$ $$ P(2) = 0. find area under standard normal curve . \text {Forecast during period n} = \hat Y_n = \hat Y_ {n-1} Forecast during period n = Y ^n = Y ^n−1. Now, click on ‘find trains’. infoKnown as 'CNF Probability' tab, the feature allows persons while making booking for Indian Railway train tickets from IRCTC, to see. 5. 3. The probability of confirmation is displayed in form of xx%From a circuit C made up of gates AND, OR, and NOT, and input variables in a set { 1 . Grammar denotes the syntactical rules for conversation in natural language. Calculate the probability of exactly two occurring; and; Calculate the probability of none of them occurring. Binomial Distribution Calculator. On the contrary, CSCA-OC and CSCA-OG have. Every event has two possible outcomes. Simply click Done to confirm the adjustments. That is the probability of getting EXACTLY 7 Heads in 12 coin tosses. • This form is called a Conjunctive Normal Form, or CNF. Unit 2 Displaying and comparing quantitative data. show help ↓↓ examples ↓↓. We can use this calculator by entering the inputs in the below input fields and gently tap the calculate button to get the answers quickly. 9750021048517796. To achieve a uniform nanopaper thickness of ∼20 μm, the CNF suspension was adjusted to a solids concentration of 20 g L −1. Simplify logical expressions. 96. S n = S 0 × P n. The calculator below gives probability density function value and cumulative distribution function value for the given x, mean, and variance:Bayes formula calculator to calculate the posterior probability of an event A, given the known outcome of event B and the prior probability of A, of B conditional on A and of B conditional on not-A using the Bayes Theorem. Note, that the above-described situation may represent the early stages of the COVID. Concept: Combinatorics is a branch of discrete mathematics that involves counting, arranging, and selecting objects. The calculator reports that the cumulative probability is 0. Then, we have f ≡ f ′. When A and B are independent, P (A and B) = P (A) * P (B); but when A and B are dependent, things get a little complicated, and the formula (also. P - transition matrix, contains the probabilities to move from state i to state j in one step (p i,j) for every combination i, j. r. Free Set Theory calculator - calculate set theory logical expressions step by stepCredit: SlideServe. metrics import recall_score tpr = recall_score(Ytest, y_pred) # it is better to name it y_test # to calculate, tnr we need to set the positive label to the other class # I assume your negative class consists of 0, if it is -1, change 0 below to that value tnr = recall_score(Ytest, y. random bits (truth assigments), for the nboolean variables of the k-CNF formula. info Check Live PNR Status via RailRestro app. The formula to calculate the maxterms is described as follows: If there are two variables, X and Y, then. P (k out of N) =. This page lists all of the statistics calculators available at Statology. Some binary multiplication examples are given below for a better understanding of this concept. PDF is applicable only for continuous random variables, while CDF is applicable for both continuous and discrete random. en. ext {Forecast during period n} = hat Y_n = hat Y_ {n-1} Forecast during period n = Y ^n = Y ^n−1. Frieze’ Abstract We analyze the pure literal rule heuristic for computing a. 2a, left and Supplementary Fig. P (A ∩ B) = P (B ∩ A. Therefore, use the following formula (1) to roughly obtain the grafting rate of 4. ) if it holds with probability 1 - o(1) as n -+ 00 and quite surely (q. Unit 1 Analyzing categorical data. i– Backwards = i —t–. Trainman is the one stop shop for checking PNR status and prediction after train ticket booking on IRCTC. Converting to CNF. 5 μm, has caused serious concerns in recent years because of its threat to public health [1]. For the W-CNF (Fig. Probability Calculator - Finds conditional probability, union and intersection. Download the papers or print out your copy. One way to convert a formula to CNF is: Write a truth table (only the terms are relevant where the formula evaluates to false) In every term of the truth table invert all literals. 2. Get confirm ticket easily with etrain. As in CNF, the only propositional operators in DNF are ^, _, and :. Suppose we would like to find the probability that a value in a given distribution has a z-score between z = 0. -CNF Formulas. This calculator makes it really easy on the eyes! although I don't use the. Describe with justifications all the changes you would make to the network. AnyDice is an advanced dice probability calculator, available online. Proof. Even though the composites showed lower. Adjust the sliders to change the size of the sectors. " The answers will be ready in a split second. For instance, it showed a 95 per cent probability of confirmation for the train ticket when general waiting list was three. Enter the total number of objects (n) and the number of elements taken at a time (r) 3. Place brackets in expressions, given the priority of operations. The formulas for the probability of 3 events are closely related to the formulas we've seen for two events. For instance, it showed a 95 per cent probability of confirmation for the train ticket when general waiting list was three. In case the given grammar is not present in CNF, first convert it into CNF. When you start learning probability and statistics it is common to come across probability urn problems. Instructions. A matrix representation of a 3-CNF formula A. From Poisson distribution through risk calculators and permutation calculators all the way to binomial distribution, you will always find a useful calculator amongst our collection. See moreCheck Live PNR Status via RailRestro app. So, if you have a waiting ticket and want to check the probability of the ticket getting confirmed, here’s the steps you need to follow. Markov chain formula. GNWL (General Waiting List) is given first preference when it comes to confirmation. Problem. Add the numbers together to calculate the number of total outcomes. Use the quick search and powerful cloud editor to create a correct Chomsky Normal Form Calculator. Harmonic Mean Calculator. 1 Answer. F = (A + D’) (C’ + D’) (B + D’) (B’ + C + D) Karnaugh Map Solver finds the Sum of products and product of sums with. You can also type true and false. It will return the accurate PNR status and return the waitlist. Passenger 1: Confirmed: CNF:C3:34 (Booking Status: WL:47:GN) Passenger 2: Confirmed: CNF:C3:35 (Booking Status: WL:48:GN) Total Fare: 1490 Chart Prepared. These solvers are typically binaries which accept input in the form of a text file with the CNF formula and write the relevant. Now avail ₹0 Payment Gateway Charges with UPI while booking your train tickets! Search trains When given a formula in propositional logic the software should output steps for converting the formula into Conjunctive Normal Form (CNF). Capital Structure Assumptions. Upper bound on r k For any random clause with k literals, x1 + x2 +. Population Size: Leave blank if unlimited population size. When there are very few seats, IRCTC is not able to give us the. K-CNF A random k-CNF formula with n variables and c clauses has a threshold c = r k n such that if, c / n < r k the formula almost surely is satisfiable and if c / n > r k almost surely it is not. The :operator can only appear as part of a literal, which means that it can only precede an atom [3]. k-CNF formula, because we need, in expectation m+2assignments, and each assigment requires sample nu. CONVERT(φ): // returns a CNF formula equivalent to φ // Any syntactically valid propositional formula φ must fall into // exactly one of the following 7 cases (that is, it is an instanceof // one of the 7 subclasses of Formula). Calculate the probability of an event applying the Bayes Rule. Here is the definition of k -CNF formula: A conjunctive normal form (CNF) formula is a conjunction of disjunctions. Every PNR Number. Step 1: After making the k-map as before, enter the 0’s as maxterms. 69, but it is 0. Our ncr calculator uses this formula for the accurate & speedy calculations of all the elements of. 1. 9 years ago. All these questions are statistics problems. (It also works for tails. Probability Mass Function : The probability distribution of a Discrete Random Variable is called as Probability Mass Function or PMF. Equity Value = $50. with probability 1 – For m/n > c*, as n , problem is unsatisfiable with probability 1 • Conjecture proved true for k=2 and c*=1 • For k=3, current status is that c* is in the range 3. We propose to train CNFs on manifolds by minimizing probability path divergence (PPD), a novel family of divergences between the. Your IRCTC PNR status will be checked immediately, and you will be able to. Before making the booking, click on this button to know the. Normal Distribution Calculator. Enter a probability distribution table and this calculator will find the mean, standard deviation and variance. Mean or expected value of discrete random variable is defined as. Jason Eisner. american odds of . In computer science, CNF (Conjunctive Normal Form) is a type of normal form used for expressing Boolean functions. 0 (Fig. The so-called Bayes Rule or Bayes Formula is useful when. Examples of conjunctive normal forms include A (1) (A v B) ^ (!A v C) (2) A v B (3) A ^ (B v C), (4) where v denotes OR, ^ denotes. Unit 8 Counting, permutations, and combinations. If you store the formula in a convenient way, such that the most prominent operator is readily accessible, this shouldn't be a problem. g. THROUGH CALL: You can also call 139 to get your PNR Status. Once you've done that, refresh this page to start using Wolfram|Alpha. This type of tickets will be given a separate priority and confirmations will depend on the cancellations of a destination. Operating the Logic server currently costs about 113. आईआरसीटीसी की वेबसाइट पर CNF Probability का विकल्प दिखता है. Weibull Distribution Definition. P (A ∩ B) = P (B ∩ A. The probability distribution function, for a discrete sample space, is a function of the outcomes that obeys the conditions:0≤p (xi)≤1where xiis any outcome in the sample space and∑ip (xi)=1where the summation is over all outcomes in the sample space. Improve this answer. A literal is a Boolean variable or the negation of a Boolean variable Hence a CNF is of the form − 1≤i≤s 1≤j≤t j ‘ i;j‘ where the ‘ i;j. Steps for converting CFG into CNF. Probability Calculator. See [2] for details. Enter the 10-digit PNR number found on the top left corner of a train ticket and go to the "PNR Status" button. See that 97. To compute the answers for the previous example using the odds probability calculator, input 12 for A and 40 for B, choose "Odds are for winning," and then calculate. CNF Probability is a ticket confirmation predictability method introduced in new website of IRCTC. So when you have to calculate a probability from a normal distribution you can use the functions on your scientific calculator. Any context-free grammar that does not generate the empty string can be represented in CNF using only production rules of the. Urn probability simulator. we can bound the probability that our estimate is very far from the true value of jSj jUj. To calculate the probability of getting a Bb genotype, we can draw a 4-square Punnett square using the parents' alleles for the coat color gene only, as shown above. 19 % at 5 wt% addition. A SAT solver is a tool that takes as input a CNF formula and outputs either a satisfying Boolean assignment to the variables used in the CNF formula if the formula is consistent or UNSAT if it is not. Enter the number of events that occurred. Broder* Alan M. 30). P3 = 0. Let f be a tight k-CNF. Solution. The Naive forecasting method of forecasting is one the easiest of all methods. We study the complexity of the problem SAT-PROB = { is a CNF formula | Pr [] > p} for fixed and . Study with Quizlet and memorize flashcards containing terms like Making a good decision a. The output of the solver script is a JSON file where each line corresponds to one input CNF instance and is a dictionary with the following key:value pairs: "ID": The DIMACS file name associated with a CNF example. In certain conditions, there are chances that the tickets are not confirmed despite the. 00 × 200 million = $10 billion; 2. Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute. – ∨ ¬∧ is not a CNF • An AND (∧) of CNF formulas is a CNF formula. e.