Sets, Logic, Computation
Author | : |
Publisher | : |
Total Pages | : 368 |
Release | : 2019 |
Genre | : |
ISBN | : 9781077322127 |
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Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Sets Logic Computation An Open Introduction To Metalogic PDF full book. Access full book title Sets Logic Computation An Open Introduction To Metalogic.
Author | : |
Publisher | : |
Total Pages | : 368 |
Release | : 2019 |
Genre | : |
ISBN | : 9781077322127 |
Author | : Richard Zach |
Publisher | : |
Total Pages | : 418 |
Release | : 2021-07-13 |
Genre | : |
ISBN | : |
A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org.
Author | : Richard Zach |
Publisher | : |
Total Pages | : |
Release | : 2019 |
Genre | : Electronic books |
ISBN | : |
Sets, Logic, Computation is an introductory textbook on metalogic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. The audience is undergraduate students with some background in formal logic, e.g., what is covered by forall x. NOTE: It's title has been changed from "Sets, Logic, Computation: An Open Logic Text" to "Sets, Logic, Computation: An Open Introduction to Metalogic."
Author | : Richard Zach |
Publisher | : |
Total Pages | : 360 |
Release | : 2017 |
Genre | : Electronic books |
ISBN | : |
"This textbook is based on the Open Logic Project. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic"--BCcampus website.
Author | : Geoffrey Hunter |
Publisher | : Univ of California Press |
Total Pages | : 306 |
Release | : 1973-06-26 |
Genre | : Mathematics |
ISBN | : 9780520023567 |
This work makes available to readers without specialized training in mathematics complete proofs of the fundamental metatheorems of standard (i.e., basically truth-functional) first order logic. Included is a complete proof, accessible to non-mathematicians, of the undecidability of first order logic, the most important fact about logic to emerge from the work of the last half-century. Hunter explains concepts of mathematics and set theory along the way for the benefit of non-mathematicians. He also provides ample exercises with comprehensive answers.
Author | : George S. Boolos |
Publisher | : Cambridge University Press |
Total Pages | : 365 |
Release | : 2007-09-17 |
Genre | : Computers |
ISBN | : 0521877520 |
This fifth edition of 'Computability and Logic' covers not just the staple topics of an intermediate logic course such as Godel's incompleteness theorems, but also optional topics that include Turing's theory of computability and Ramsey's theorem.
Author | : Richard Zach |
Publisher | : |
Total Pages | : 268 |
Release | : 2019-11-09 |
Genre | : |
ISBN | : 9781077321380 |
A textbook on modal and other intensional logics. It covers normal modal logics, relational semantics, axiomatic and tableaux proof systems, intuitionistic logic, and counterfactual conditionals. It is based on the Open Logic Project and available for free download at openlogicproject.org.
Author | : Richard Zach |
Publisher | : Createspace Independent Publishing Platform |
Total Pages | : 228 |
Release | : 2017-06-15 |
Genre | : |
ISBN | : 9781548138080 |
A textbook on recursive function theory and G�del's incompleteness theorems. Also covers models of arithmetic and second-order logic.
Author | : Robert Goldblatt |
Publisher | : Center for the Study of Language and Information Publications |
Total Pages | : 180 |
Release | : 1992-06-01 |
Genre | : Mathematics |
ISBN | : 9780937073933 |
Sets out the basic theory of normal modal and temporal propositional logics; applies this theory to logics of discrete (integer), dense (rational), and continuous (real) time, to the temporal logic of henceforth, next, and until, and to the propositional dynamic logic of regular programs.
Author | : Paolo Mancosu |
Publisher | : Oxford University Press |
Total Pages | : 431 |
Release | : 2021 |
Genre | : Philosophy |
ISBN | : 0192895931 |
An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translation of classical into intuitionistic logic (and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's consistency proof for first-order Peano Arithmetic. The theory of ordinal notations and other elements of ordinal theory are developed from scratch, and no knowledge of set theory is presumed. The proof methods needed to establish proof-theoretic results, especially proof by induction, are introduced in stages throughout the text. Mancosu, Galvan, and Zach's introduction will provide a solid foundation for those looking to understand this central area of mathematical logic and the philosophy of mathematics.