PirateBay Download | andrews p introduction mathematical logic type theory 2ed 2002

andrews p introduction mathematical logic type theory 2ed 2002

Type:: E-books
Files:: 1
Size:: 25.8 MB
Uploaded On:: Dec. 20, 2022, 10:24 a.m.
Added By:: andryold1
Seeders:: 10
Leechers:: 0
Info Hash:: 6EBE07A7E041DE8640C5DB18C32C524A8BD84E0D

Textbook in PDF format This introduction to mathematical logic starts with propositional calculus and first-order logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cut-elimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and definability. The last three chapters of the book provide an introduction to type theory (higher-order logic). It is shown how various mathematical concepts can be formalized in this very expressive formal language. This expressive notation facilitates proofs of the classical incompleteness and undecidability theorems which are very elegant and easy to understand. The discussion of semantics makes clear the important distinction between standard and nonstandard models which is so important in understanding puzzling phenomena such as the incompleteness theorems and Skolem's Paradox about countable models of set theory. Some of the numerous exercises require giving formal proofs. A computer program called ETPS which is available from the web facilitates doing and checking such exercises. Audience: This volume will be of interest to mathematicians, computer scientists, and philosophers in universities, as well as to computer scientists in industry who wish to use higher-order logic for hardware and software specification and verification. Propositional Calculus First-Order Logic Provability and Refutability Further Topics in First-Order Logic Type Theory Formalized Number Theory Incompleteness and Undecidability

Get This Torrent

Andrews P. An Introduction to Mathematical Logic and Type Theory...2ed 2002.pdf 25.8 MB

Details for: Andrews P. An Introduction to Mathematical Logic and Type Theory...2ed 2002

andrews p introduction mathematical logic type theory 2ed 2002

Similar Posts: