A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, Boolean functions, and propositional calculus—which...

In computability theory a truth-table reduction is a type of reduction from a decision problem A {\displaystyle A} to a decision problem B {\displaystyle...

the truth functions of conjunction, disjunction, implication, biconditional, and negation. Some sources include other connectives, as in the table below...

NOR logic. A NAND gate is an inverted AND gate. It has the following truth table: In CMOS logic, if both of the A and B inputs are high, then both the...

exactly one truth value which is either true or false, and every logical connective is truth functional (with a correspondent truth table), thus every...

Modal operator Propositional calculus Term logic Tetralemma Truth function Truth table Truth values Chao, C. (2023). 数理逻辑：形式化方法的应用 [Mathematical Logic:...

Logical truth is one of the most fundamental concepts in logic. Broadly speaking, a logical truth is a statement which is true regardless of the truth or falsity...

connectives. This can be proved by first showing, with a truth table, that ¬ A {\displaystyle \neg A} is truth-functionally equivalent to A ↓ A {\displaystyle...

argument is false. This semantics can be shown graphically in the following truth table: One can also consider the equivalence A → B ≡ ¬ ( A ∧ ¬ B ) ≡ ¬ A ∨...

to, based on the current state and other inputs. It is essentially a truth table in which the inputs include the current state along with other inputs...

empty set of operands) is often defined as having the result true. The truth table of A ∧ B {\displaystyle A\land B} : In systems where logical conjunction...

expand a method proposed by Edward W. Veitch; this work would rely on the truth table method precisely defined by Emil Post and the application of propositional...

true, if — and only if — at least one of the propositions is false. The truth table of A ↑ B {\displaystyle A\uparrow B} is as follows. The Sheffer stroke...

most to the least restrictive, are polynomial-time many-one reductions, truth-table reductions, and Turing reductions. The most frequently used of these...

{\displaystyle \nleftrightarrow } , and ≢ {\displaystyle \not \equiv } . The truth table of A ↮ B {\displaystyle A\nleftrightarrow B} shows that it outputs true...

phases prevent data transparency as in a master–slave flip-flop. The truth table below shows that when the enable/clock input is 0, the D input has no...

define logic as the study of logical truths. Truth tables can be used to show how logical connectives work or how the truth values of complex propositions depends...

variables produces 16 truth-table rows and 16 squares and therefore 16 minterms. Each Karnaugh-map square and its corresponding truth-table evaluation represents...

{2}}\right]\end{aligned}}} There are 16 possible truth functions of two binary variables; this defines a truth table. Here is the bitwise equivalent operations...

operators and symbols in Unicode Non-logical symbol Polish notation Truth function Truth table Wikipedia:WikiProject Logic/Standards for notation "Named character...

with k {\displaystyle k} arguments; equal to the number of different truth tables with 2 k {\displaystyle 2^{k}} entries. Every k {\displaystyle k} -ary...

method of truth tables illustrated above is provably correct – the truth table for a tautology will end in a column with only T, while the truth table for a...

[clarification needed] The required Boolean results are transferred from a truth table onto a two-dimensional grid where, in Karnaugh maps, the cells are ordered...

quantum-computing version where the bits are replaced by qubits. The truth table and permutation matrix are as follows (the permutation can be written...

XOR gate with inputs A and B. The behavior of XOR is summarized in the truth table shown on the right. There are three schematic symbols for XOR gates:...

constructed). Ludwig Wittgenstein introduced a version of the 16-row truth table as proposition 5.101 of Tractatus Logico-Philosophicus (1921). Walther...

two-input version implements logical equality, behaving according to the truth table to the right, and hence the gate is sometimes called an "equivalence...

approach). A NOR gate is logically an inverted OR gate. It has the following truth table: A NOR gate is a universal gate, meaning that any other gate can be represented...

both operands are false or both operands are true. The following is a truth table for A ↔ B {\displaystyle A\leftrightarrow B} : When more than two statements...

encoded in the truth table of the material conditional (implication) operator. A truth table lists all possible combinations of the truth values of the...