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2. List of logic symbols - Wikipedia

   en.wikipedia.org/wiki/List_of_logic_symbols

   The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics. Additionally, the subsequent columns contains an informal explanation, a short example, the Unicode location, the name for use in HTML documents, [ 1 ] and the LaTeX symbol.

3. Tautology (rule of inference) - Wikipedia

   en.wikipedia.org/wiki/Tautology_(rule_of_inference)

   In propositional logic, tautology is either of two commonly used rules of replacement. [ 1 ] [ 2 ] [ 3 ] The rules are used to eliminate redundancy in disjunctions and conjunctions when they occur in logical proofs .

4. Logical truth - Wikipedia

   en.wikipedia.org/wiki/Logical_truth

   However, the term tautology is also commonly used to refer to what could more specifically be called truth-functional tautologies. Whereas a tautology or logical truth is true solely because of the logical terms it contains in general (e.g. " every ", " some ", and "is"), a truth-functional tautology is true because of the logical terms it ...

5. Tautology (logic) - Wikipedia

   en.wikipedia.org/wiki/Tautology_(logic)

   The Boolean satisfiability problem is NP-complete, and consequently, tautology is co-NP-complete. It is widely believed that (equivalently for all NP-complete problems) no polynomial-time algorithm can solve the satisfiability problem, although some algorithms perform well on special classes of formulas, or terminate quickly on many instances. [8]

6. Tautological - Wikipedia

   en.wikipedia.org/wiki/Tautological

   In mathematics, tautological may refer to: Logic: Tautological consequence; Geometry, where it is used as an alternative to canonical: Tautological bundle; Tautological line bundle; Tautological one-form; Tautology (grammar), unnecessary repetition, or more words than necessary, to say the same thing.

7. Proof complexity - Wikipedia

   en.wikipedia.org/wiki/Proof_complexity

   A propositional proof system is given as a proof-verification algorithm P(A,x) with two inputs.If P accepts the pair (A,x) we say that x is a P-proof of A.P is required to run in polynomial time, and moreover, it must hold that A has a P-proof if and only if A is a tautology.