what is atomic formula ?
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An atomic formula is either the logical constant ⊥ or an expression of the form (rt1 … tn), where r is an n-ary relation symbol in ∑, and t1, …, tn are algebraic terms over ∑. In particular, each nullary relation symbol makes an atomic formula.
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In mathematical logic, an atomic formula is a formula with no deeper propositional structure, that is, a formula that contains no logical connectives or equivalently a formula that has no strict subformulas. Atoms are thus the simplest well-formed formulas of the logic.
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