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Please note that in the second half of 2009, MSC2010 is deployed in the production of ZMATH and will become official standard in January 2010.


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03-XX Mathematical logic and foundations → ZMATH
03Bxx General logic → ZMATH
03B05 Classical propositional logic → ZMATH
03B10 Classical first-order logic → ZMATH
03B15 Higher-order logic and type theory → ZMATH
03B20 Subsystems of classical logic (including intuitionistic logic) → ZMATH
03B22 Abstract deductive systems → ZMATH
03B25 Decidability of theories and sets of sentences [See also 11U05, 12L05, 20F10] → ZMATH
03B30 Foundations of classical theories (including reverse mathematics) [See also 03F35] → ZMATH
03B35 Mechanization of proofs and logical operations [See also 68T15] → ZMATH
03B40 Combinatory logic and lambda-calculus [See also 68N18] → ZMATH
03B42 Logic of knowledge and belief → ZMATH
03B44 Temporal logic → ZMATH
03B45 Modal logic {For knowledge and belief see 03B42; for temporal logic see 03B44; for provability logic see also 03F45} → ZMATH
03B47 Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics) {For proof-theoretic aspects see 03F52} → ZMATH
03B48 Probability and inductive logic [See also 60A05] → ZMATH
03B50 Many-valued logic → ZMATH
03B52 Fuzzy logic; logic of vagueness [See also 68T27, 68T37, 94D05] → ZMATH
03B53 Logics admitting inconsistency (paraconsistent logics, discussive logics, etc.) → ZMATH
03B55 Intermediate logics → ZMATH
03B60 Other nonclassical logic → ZMATH
03B65 Logic of natural languages [See also 68T50, 91F20] → ZMATH
03B70 Logic in computer science [See also 68-XX] → ZMATH
03B80 Other applications of logic → ZMATH
03B99 None of the above, but in this section → ZMATH
 
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I. M. Gelfand 1913-2009
MSC2010


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