By Heinz-Dieter Ebbinghaus, Gert H. Müller, Wolfgang Lenski
Gert H. Muller the expansion of the variety of guides in just about all clinical components, as within the region of (mathematical) good judgment, is taken as an indication of our scientifically minded tradition, however it additionally has a terrifying point. additionally, given the speedily becoming sophistica tion, specialization and for this reason subdivision of good judgment, researchers, scholars and academics can have a troublesome time getting an outline of the prevailing literature, partic ularly in the event that they don't have an in depth library on hand of their neighbourhood: they just don't even recognize what to invite for! extra in particular, if a person vaguely is aware that whatever vaguely hooked up along with his pursuits exists a few the place within the literature, he is probably not capable of finding it even by means of looking through the guides scattered within the overview journals. Answering this problem used to be and is the critical motivation for compiling this Bibliography. The Bibliography contains (presently) the subsequent six volumes (listed with the corresponding Editors): I. Classical good judgment W. Rautenberg eleven. Non-classical Logics W. Rautenberg 111. version concept H. -D. Ebbinghaus IV. Recursion conception P. G. Hinman V. Set concept A. R. Blass VI. ProofTheory; positive arithmetic J. E. Kister; D. van Dalen & A. S. Troelstra.
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Extra resources for Ω-Bibliography of Mathematical Logic. Volume 3: Model Theory
A A05 Philosophical and critical A10 History, Biography, Bibliography MR uses 03-03 and 01A for history and biography MR puts bibliography under specific fields. B GENERAL LOGIC B03 Syntax of logicallanguages B05 Classical propositionallogic and boolean functions + Axiomatizations of c1assical propositionallogic + Boolean functions (machine manipulation is also in B35); MR puts these in G05 and in 06E30 and 94C10. Fragments of propositionallogic: see B20 Switching circuits: see B70; MR also uses 94C10 B10 Classical first-order logic + Many-sorted logic + Syntax and semantics up to the Completeness Theorem Model theory: see Cn, particularly C07 Prooftheory: see Fn XXXIV Q-Classification Scheme B15 Higher-order logic and type theory + Higher-order algebraic and other theories Higher-order model theory: see C85 Set theory with classes: see E30 and E70 Intuitionistic theory of types: see F35 B20 Fragments of classicallogic + Fragments of propositional and of first-order logic + Fragments used in model theory, set theory, etc.
Where the lattice structure is not the main point G12 Quantum logic See also B51 G15 Cylindric and polyadic algebras, relation algebras G20 Lukasiewicz and Post algebras + Lattices (or weaker structures) corresponding to many-valued logic G25 Other algebras related to logic + Boolean algebras with provability and other operators + Implicative algebras, BCK algebras, etc. g. categories of models, logical foundations of category theory Pure category theory (Exc1uded from the n-Bibliography); MR uses 18Xn G96 Collected works + Selected works - Collections (almost) entirely in one subfield: see that subfield MR uses 01A75, 03-03, and 03-06 G97 Proceedings + Collections of papers by various authors, even if they do not derive from any actual conference Proceedings (almost) entirely in one subfield: see that subfield Proceedings not concentrated in this field: see Source Index MR uses 03-06 G98 Textbooks, surveys MR uses 03-01 and 03-02 G99 None of the above or uncertain, but in this section H NONSTANDARD MODELS HOS Infinitesimal analysis in pure mathematics H10 Other applications of infinitesimal analysis + Economics, physics, etc.
P. W. A note on the completeness prooffor natural deduction ~ B10 C07 F07 ~ BRADY, RT. Unspecijied constants in predicate calculus andjirst-order theories ~ B10 C07 ~ BRIDGE, J. Beginning model theory. M. & PLA I CARRERA, J. 6 in Chapter IV of Nicolas Bourbaki's Theorie des ensembles (Spanish) ~ C07 E30 ~ DAWES, AM. -R & RAMBAUD, C. Theoremes de completude dans les theories sur graphes orientes (English summary) ~ C07 C65 G30 ~ FAGIN, R The number ofjinite relational structures ~ C07 C13 ~ FLUM, J.