03XX 


Mathematical logic and foundations 

03Cxx 

Model theory 


03C05 
Equational classes, universal algebra [See also 08Axx, 08Bxx, 18C05] 


03C07 
Basic properties of firstorder languages and structures 


03C10 
Quantifier elimination, model completeness and related topics 


03C13 
Finite structures [See also 68Q15, 68Q19] 


03C15 
Denumerable structures 


03C20 
Ultraproducts and related constructions 


03C25 
Modeltheoretic forcing 


03C30 
Other model constructions 


03C35 
Categoricity and completeness of theories 


03C40 
Interpolation, preservation, definability 


03C45 
Classification theory, stability and related concepts [See also 03C48] 


03C48 
Abstract elementary classes and related topics [See also 03C45] 


03C50 
Models with special properties (saturated, rigid, etc.) 


03C52 
Properties of classes of models 


03C55 
Settheoretic model theory 


03C57 
Effective and recursiontheoretic model theory [See also 03D45] 


03C60 
Modeltheoretic algebra [See also 08C10, 12Lxx, 13L05] 


03C62 
Models of arithmetic and set theory [See also 03Hxx] 


03C64 
Model theory of ordered structures; ominimality 


03C65 
Models of other mathematical theories 


03C68 
Other classical firstorder model theory 


03C70 
Logic on admissible sets 


03C75 
Other infinitary logic 


03C80 
Logic with extra quantifiers and operators [See also 03B42, 03B44, 03B45, 03B48] 


03C85 
Second and higherorder model theory 


03C90 
Nonclassical models (Booleanvalued, sheaf, etc.) 


03C95 
Abstract model theory 


03C98 
Applications of model theory [See also 03C60] 


03C99 
None of the above, but in this section 