I would like to understand the complexity of $k$-CNF formulae.
For $k\geqslant 1$, can one please give me an example of a formula that is not equivalent to a $k$-CNF formula?
2026-02-23 04:39:16.1771821556
k-CNF formulae and formulae that are not equivalent to them
154 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in LOGIC
- Theorems in MK would imply theorems in ZFC
- What is (mathematically) minimal computer architecture to run any software
- What formula proved in MK or Godel Incompleteness theorem
- Determine the truth value and validity of the propositions given
- Is this a commonly known paradox?
- Help with Propositional Logic Proof
- Symbol for assignment of a truth-value?
- Find the truth value of... empty set?
- Do I need the axiom of choice to prove this statement?
- Prove that any truth function $f$ can be represented by a formula $φ$ in cnf by negating a formula in dnf
Related Questions in PROPOSITIONAL-CALCULUS
- Help with Propositional Logic Proof
- Can we use the principle of Explosion to justify the definition of implication being True when the antecedent is False?
- Simplify $(P \wedge Q \wedge R)\vee(\neg P\wedge Q\wedge\neg R)\vee(\neg P\wedge\neg Q\wedge R)\vee(\neg P \wedge\neg Q\wedge\neg R)$
- Alternative theories regarding the differences between the material conditional and the indicative conditionals used in natural language?
- Translations into logical notation
- Is the negation of $(a\wedge\neg b) \to c = a \wedge\neg b \wedge\neg c$?
- I am kind of lost in what do I do from here in Propositional Logic Identities. Please help
- Boolean Functional completeness of 5 operator set in propositional logic
- Variables, Quantifiers, and Logic
- Comparison Propositional Logic
Related Questions in PREDICATE-LOGIC
- Find the truth value of... empty set?
- What does Kx mean in this equation? [in Carnap or Russell and Whitehead's logical notation]
- Exchanging RAA with double negation: is this valid?
- Logical Connectives and Quantifiers
- Is this proof correct? (Proof Theory)
- Is there only a finite number of non-equivalent formulas in the predicate logic?
- Are Proofs of Dependent Pair Types Equivalent to Finding an Inverse Function?
- How to build a list of all the wfs (well-formed sentences)?
- Translations into logical notation
- What would be the function to make a formula false?
Related Questions in CONJUNCTIVE-NORMAL-FORM
- Is 3-CNF to 2-CNF generally possible (or in particular)?
- k-CNF formulae and formulae that are not equivalent to them
- Help converting ANF to XORNF if even possible.
- How to convert to formula to disjunctive normal form (DNF)?
- How can I come from NOT x AND y OR NOT z to two formulas: NOT x OR NOT z and NOT y OR z
- Is this possible: ( neg X AND Y) OR neg Z <=> (neg X OR neg Z) AND (neg Y OR Z)
- Converting $\big( (A \lor B) \land ((B \leftrightarrow A) \to C) \big) \lor (C \to \neg A)$ to CNF.
- How to transform a knowledge base (CNF) from propositional logic in a set?
- Is this the disjunctive and conjunctive nromal form for my porpositional formula F?
- Is it ok this CNF of a Boolean function?
Related Questions in DISJUNCTIVE-NORMAL-FORM
- k-CNF formulae and formulae that are not equivalent to them
- Disjunctive normal form process
- What is the rule to eliminate (Z AND NEG Z) in this formula?
- Simplifying a logical formula
- Is this the disjunctive and conjunctive nromal form for my porpositional formula F?
- Is it possible for the DNF and CNF to be the same
- How do I convert this propositional formula to DNF?
- Are my DNF and CNF for $A \land (A \lor C) \implies (C \lor B)$ correct?
- Find minimal DNF and CNF of a logical expression $(A \implies C) \wedge \neg (B \wedge C \wedge D).$
- DNF and CNF missing law/rule
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?