Talk:Finite model theory
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Perhaps we could mention that finite model theory might help us resolve P vs. NP? (See http://www2.ing.puc.cl/~jabaier/iic2212/poll-1.pdf for instance). My understanding is that several finite model theorists are in that field in hopes of conquering this major problem. Any thoughts?
Outline
- Character 1: Finite structure. Belongs to MT. relationship between a formal language and its interpretations. ...
- History: 1. Trakhtenbrot 1950, 2. Fagin, 3. databases ...
- Character 2: Discrimination of structures
- Parts: FMT vs MT, Language/ Complexity classification
- Applications: databases, descriptive complexity, languages/ modeling
- Tools: games, locality, 0-1 laws
- Objects of study: FO, extensions of FO/ restrictions of SO, sub-FO