- The Size of a Formula as a Measure of Complexity
- Book title
- Logic without borders: essays on set theory, model theory, philosophical logic, and philosophy of mathematics
- Pages (from-to)
- Berlin: De Gruyter
- Ontos Mathematical Logic
- Volume | Edition (Serie)
- Document type
- Interfacultary Research Institutes
- Institute for Logic, Language and Computation (ILLC)
- We introduce a refinement of the usual Ehrenfeucht-Fraïssé game. The new game will help us make finer distinctions than the traditional one. In particular, it can be used to measure the size formulas needed for expressing a given property. We will give two versions of the game: the first version characterizes the size of formulas in propositional logic, and the second version works for first-order predicate logic.
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