• A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, Boolean functions, and propositional calculus—which...
    43 KB (3,307 words) - 00:46, 15 April 2025
  • 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...
    4 KB (676 words) - 06:55, 30 December 2024
  • the truth functions of conjunction, disjunction, implication, biconditional, and negation. Some sources include other connectives, as in the table below...
    118 KB (11,441 words) - 14:55, 10 May 2025
  • 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...
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  • exactly one truth value which is either true or false, and every logical connective is truth functional (with a correspondent truth table), thus every...
    24 KB (2,647 words) - 20:48, 12 May 2025
  • 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...
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    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:...
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    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 ∨...
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  • most to the least restrictive, are polynomial-time many-one reductions, truth-table reductions, and Turing reductions. The most frequently used of these...
    11 KB (1,472 words) - 23:39, 6 June 2023
  • Thumbnail for Logical conjunction
    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...
    18 KB (1,465 words) - 05:16, 22 February 2025
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    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...
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  • variables produces 16 truth-table rows and 16 squares and therefore 16 minterms. Each Karnaugh-map square and its corresponding truth-table evaluation represents...
    139 KB (11,131 words) - 00:07, 24 March 2025
  • Thumbnail for Flip-flop (electronics)
    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...
    57 KB (7,203 words) - 09:46, 18 May 2025
  • Thumbnail for NOR logic
    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...
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  • Thumbnail for Logical biconditional
    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...
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    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...
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    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...
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  • Thumbnail for Logical NOR
    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...
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  • {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...
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  • operators and symbols in Unicode Non-logical symbol Polish notation Truth function Truth table Wikipedia:WikiProject Logic/Standards for notation "Named character...
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  • Thumbnail for Logical disjunction
    \models \psi }     or     both This semantics corresponds to the following truth table: In classical logic systems where logical disjunction is not a primitive...
    16 KB (1,937 words) - 20:20, 25 April 2025
  • 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...
    9 KB (1,094 words) - 10:31, 12 December 2024
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    constructed). Ludwig Wittgenstein introduced a version of the 16-row truth table as proposition 5.101 of Tractatus Logico-Philosophicus (1921). Walther...
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  • truth table that assigns "T" to all propositions ( P 1 {\displaystyle P_{1}} , P 2 {\displaystyle P_{2}} , ..., P n {\displaystyle P_{n}} ) the truth...
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  • Thumbnail for Exclusive or
    {\displaystyle \nleftrightarrow } , and ≢ {\displaystyle \not \equiv } . The truth table of A ↮ B {\displaystyle A\nleftrightarrow B} shows that it outputs true...
    31 KB (3,354 words) - 12:57, 14 April 2025
  • such that each n is in A if and only if f(n) is in B. Truth-table reducibility: A is truth-table reducible to B if A is Turing reducible to B via an oracle...
    54 KB (6,425 words) - 20:53, 17 February 2025
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    Rubber book Handbook of Chemistry & Physics Standard normal table Table (information) Truth table Jurij Vega J J O'Connor and E F Robertson (June 1996). "The...
    13 KB (1,465 words) - 06:03, 17 April 2025
  • Thumbnail for Table (information)
    contents) Arithmetic (Multiplication table) Logic (Truth table) Chemistry (Periodic table) Oceanography (tide table) Modern software applications give users the...
    14 KB (1,461 words) - 19:33, 25 February 2025
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    Logic (redirect from Science of truth)
    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...
    145 KB (16,460 words) - 09:25, 16 May 2025
  • An n-bit LUT can encode any n-input Boolean function by storing the truth table of the function in the LUT. This is an efficient way of encoding Boolean...
    22 KB (3,068 words) - 09:43, 18 May 2025