03Bxx General logic
-
03B05 Classical propositional logic
(3)
- 03B10 Classical first-order logic
- 03B15 Higher-order logic and type theory
- 03B20 Subsystems of classical logic (including intuitionistic logic)
- 03B22 Abstract deductive systems
- 03B25 Decidability of theories and sets of sentences [See also 11U05, 12L05, 20F10]
- 03B30 Foundations of classical theories (including reverse mathematics) [See also 03F35]
-
03B35 Mechanization of proofs and logical operations [See also 68T15]
(2)
- 03B40 Combinatory logic and lambda-calculus [See also 68N18]
-
03B42 Logics of knowledge and belief (including belief change)
(1)
- 03B44 Temporal logic
- 03B45 Modal logic (including the logic of norms) (For knowledge and belief, see 03B42; for temporal logic, see 03B44; for provability logic, see also 03F45)
- 03B47 Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics) (For proof-theoretic aspects see 03F52)
- 03B48 Probability and inductive logic [See also 60A05]
- 03B50 Many-valued logic
- 03B52 Fuzzy logic; logic of vagueness [See also 68T27, 68T37, 94D05]
- 03B53 Paraconsistent logics
- 03B55 Intermediate logics
- 03B60 Other nonclassical logic
- 03B62 Combined logics
- 03B65 Logic of natural languages [See also 68T50, 91F20]
- 03B70 Logic in computer science [See also 68-XX]
- 03B80 Other applications of logic
- 03B99 None of the above, but in this section