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Grammars with three variables
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2-place predicate symbol 3x G xy 4e session A B xy A/r+ assign axiom schemata B/r+ biconditional 3x F binary predicate symbol binary relation bound variables consider cylindric algebras cylindrification deduction relation denote diagonal element Equality axioms equality relation equivalent example F x A G F xy F xyz Fact finite number first-order logic formal deductive systems formula of _ free occurrences G xyz G yx G yy geometrical Gj xy GJ/r+)h Grammars GT/r GT/r+ H xyz identities individual variables induction intersecting l'Universite de Montreal lemma Leon HENKIN logically valid formulas maximal consistent set obtained operations permutation picture polyadic algebras predicate logic Presses de l'Universite proof provable formula Quantifier axiom recursive rules of inference schema set of sentences Special Axiom subset symbol G Tarski-Lindenbaum algebra theorem verify vertical strip Vx Vy x A B xy x z y XXz A 3X