Heinz-Dieter Ebbinghaus,
Jorg Flum,
Jörg Flum,
Wolfgang Thomas
e.a.
Mathematical Logic
Paperback Engels 2022 3e druk 9783030738419Levertijd ongeveer 9 werkdagen
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Samenvatting
This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. It covers several advanced topics not commonly treated in introductory texts, such as Fraïssé's characterization of elementary equivalence, Lindström's theorem on the maximality of first-order logic, and the fundamentals of logic programming.
Specificaties
ISBN13:9783030738419
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing
Druk:3
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Inhoudsopgave
A.- I Introduction.- II Syntax of First-Order Languages.- III Semantics of First-Order Languages.- IV A Sequent Calculus.- V The Completeness Theorem.- VI The Löwenheim–Skolem and the Compactness Theorem.- VII The Scope of First-Order Logic.- VIII Syntactic Interpretations and Normal Forms.- B.- IX Extensions of First-Order Logic.- X Computability and Its Limitations.- XI Free Models and Logic Programming.- XII An Algebraic Characterization of Elementary Equivalence.- XIII Lindström’s Theorems.- References.- List of Symbols.- Subject Index.
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