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03Bxx

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General logic

  • 03B05 Classical propositional logic
  • 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]
  • 03B40 Combinatory logic and lambda-calculus [See also 68N18]
  • 03B42 Logic of knowledge and belief
  • 03B44 Temporal logic
  • 03B45 Modal logic {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 Logics admitting inconsistency (paraconsistent logics, discussive logics, etc.)
  • 03B55 Intermediate logics
  • 03B60 Other nonclassical logic
  • 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