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sav08:first-order_theories [2008/04/15 13:45] vkuncak |
sav08:first-order_theories [2008/04/15 13:46] vkuncak |
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| (Building on [[First-Order Logic Semantics]].) | (Building on [[First-Order Logic Semantics]].) | ||
| - | **Definition:** A //first-order theory// is a set $T$ of [[First-Order Logic Syntax|first-order logic formulas]]. | + | **Definition:** A //first-order theory// is a set $T$ of [[First-Order Logic Syntax|first-order logic sentences]]. |
| **Definition:** A theory $T$ is //consistent// if it is satisfiable. | **Definition:** A theory $T$ is //consistent// if it is satisfiable. | ||