Extensions of First-Order Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Extensions of First-Order Logic write by Maria Manzano. This book was released on 1996-03-29. Extensions of First-Order Logic available in PDF, EPUB and Kindle. An introduction to many-sorted logic as an extension of first-order logic.
Extensions of First-Order Logic
Extensions of First-Order Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Extensions of First-Order Logic write by Maria Manzano. This book was released on 2005-08-22. Extensions of First-Order Logic available in PDF, EPUB and Kindle. Classical logic has proved inadequate in various areas of computer science, artificial intelligence, mathematics, philosopy and linguistics. This is an introduction to extensions of first-order logic, based on the principle that many-sorted logic (MSL) provides a unifying framework in which to place, for example, second-order logic, type theory, modal and dynamic logics and MSL itself. The aim is two fold: only one theorem-prover is needed; proofs of the metaproperties of the different existing calculi can be avoided by borrowing them from MSL. To make the book accessible to readers from different disciplines, whilst maintaining precision, the author has supplied detailed step-by-step proofs, avoiding difficult arguments, and continually motivating the material with examples. Consequently this can be used as a reference, for self-teaching or for first-year graduate courses.
Mathematical Logic
Mathematical Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Logic write by H.-D. Ebbinghaus. This book was released on 2013-03-14. Mathematical Logic available in PDF, EPUB and Kindle. 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.
Classical First-Order Logic
Classical First-Order Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Classical First-Order Logic write by Stewart Shapiro. This book was released on 2022-05-19. Classical First-Order Logic available in PDF, EPUB and Kindle. One is often said to be reasoning well when they are reasoning logically. Many attempts to say what logical reasoning is have been proposed, but one commonly proposed system is first-order classical logic. This Element will examine the basics of first-order classical logic and discuss some surrounding philosophical issues. The first half of the Element develops a language for the system, as well as a proof theory and model theory. The authors provide theorems about the system they developed, such as unique readability and the Lindenbaum lemma. They also discuss the meta-theory for the system, and provide several results there, including proving soundness and completeness theorems. The second half of the Element compares first-order classical logic to other systems: classical higher order logic, intuitionistic logic, and several paraconsistent logics which reject the law of ex falso quodlibet.
First-Order Dynamic Logic
First-Order Dynamic Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook First-Order Dynamic Logic write by D. Harel. This book was released on 2014-01-15. First-Order Dynamic Logic available in PDF, EPUB and Kindle.
