Mathematical Sciences Classification System 2010
< 03Axx | 03-XX | 03Cxx >

03-XX - Mathematical logic and foundations

03Bxx - General logic

4books03B05Classical propositional logic
5books03B10Classical first-order logic
7books03B15Higher-order logic and type theory
6books03B20Subsystems of classical logic (including intuitionistic logic)
03B22Abstract deductive systems
3books03B25Decidability of theories and sets of sentences [See also 11U05, 12L05, 20F10]
9books03B30Foundations of classical theories (including reverse mathematics) [See also 03F35]
6books03B35Mechanization of proofs and logical operations [See also 68T15]
2books03B40Combinatory logic and lambda-calculus [See also 68N18]
0books03B42Logics of knowledge and belief (including belief change)
3books03B44Temporal logic
11books03B45Modal logic (including the logic of norms) {For knowledge and belief, see 03B42; for temporal logic, see 03B44; for provability logic, see also 03F45}
3books03B47Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics) {For proof-theoretic aspects see 03F52}
4books03B48Probability and inductive logic [See also 60A05]
4books03B50Many-valued logic
4books03B52Fuzzy logic; logic of vagueness [See also 68T27, 68T37, 94D05]
2books03B53Paraconsistent logics
03B55Intermediate logics
2books03B60Other nonclassical logic
03B62Combined logics
7books03B65Logic of natural languages [See also 68T50, 91F20]
5books03B70Logic in computer science [See also 68-XX]
03B80Other applications of logic
03B99None of the above, but in this section