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  2. If and only if - Wikipedia

    en.wikipedia.org/wiki/If_and_only_if

    The corresponding logical symbols are "", "", [6] and , [10] and sometimes "iff".These are usually treated as equivalent. However, some texts of mathematical logic (particularly those on first-order logic, rather than propositional logic) make a distinction between these, in which the first, ↔, is used as a symbol in logic formulas, while ⇔ is used in reasoning about those logic formulas ...

  3. English conditional sentences - Wikipedia

    en.wikipedia.org/wiki/English_conditional_sentences

    In English conditional sentences, the antecedent (protasis) is a dependent clause, most commonly introduced by the complementizer if.Other complementizers may also be used, such as whenever, unless, provided (that), and as long as.

  4. Logical biconditional - Wikipedia

    en.wikipedia.org/wiki/Logical_biconditional

    Venn diagram of (true part in red) In logic and mathematics, the logical biconditional, also known as material biconditional or equivalence or biimplication or bientailment, is the logical connective used to conjoin two statements and to form the statement "if and only if" (often abbreviated as "iff " [1]), where is known as the antecedent, and the consequent.

  5. Conditional sentence - Wikipedia

    en.wikipedia.org/wiki/Conditional_sentence

    A conditional sentence is a sentence in a natural language that expresses that one thing is contingent on another, e.g., "If it rains, the picnic will be cancelled." They are so called because the impact of the sentence’s main clause is conditional on a subordinate clause.

  6. List of undecidable problems - Wikipedia

    en.wikipedia.org/wiki/List_of_undecidable_problems

    Determining if a context-free grammar generates all possible strings, or if it is ambiguous. Given two context-free grammars, determining whether they generate the same set of strings, or whether one generates a subset of the strings generated by the other, or whether there is any string at all that both generate.

  7. English grammar - Wikipedia

    en.wikipedia.org/wiki/English_grammar

    The first published English grammar was a Pamphlet for Grammar of 1586, written by William Bullokar with the stated goal of demonstrating that English was just as rule-based as Latin. Bullokar's grammar was faithfully modeled on William Lily's Latin grammar, Rudimenta Grammatices (1534), used in English schools at that time, having been ...

  8. English Grammar in Use - Wikipedia

    en.wikipedia.org/wiki/English_Grammar_In_Use

    Preview of unit 2 showing lesson and exercises. The book is in use by English language students, especially those from non-English-speaking countries, as a practice and reference book. Though the book was titled as a self-study reference, the publisher states that the book is also suitable for reinforcement work in the classroom. [3]

  9. SLR grammar - Wikipedia

    en.wikipedia.org/wiki/SLR_Grammar

    A Grammar is said to be SLR(1) if and only if, for each and every state s in the SLR(1) automaton, none of the following conditions are violated: . For any reducible rule A → a • Xb in state s (where X is some terminal), there must not exist some irreducible rule, B → a • in the same state s such that the follow set of B contains the terminal X.