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Adequate sets of connectives. An axiom system for the propositional calculus. Independence. Many-valued logics. Other axiomatixations. Chapter 2: Quuntificution Theory. Quantifiers. Interpretations. Satisfiability and truth. Models. First-order theories. Properties of first-order theories. Additional metatheorems and derived rules. Rule C. Completeness theorems. First-order theories with equality. Definitions of new function letters and individual constants. Prenex normal forms. Isomorphism of interpretations. Categoricity of theories. Generalized first-order theories. Completeness and decidability. Elementary equivalence. Elementary extensions. Ultrapowers. Nonstandard analysis. Semantic trees.

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Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0012-365X)

Published

1989

Language

EN

Field

Computer Science (Physical Sciences)