This is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary parts of stability theory. Besides standard results such as the compactness and omitting types theorems, it also describes various links with algebra, including the Skolem-Tarski method of quantifier elimination, model completeness, automorphism groups and omega-categoricity, ultraproducts, O-minimality and structures of finite Morley rank. The material on back-and-forth equivalences, interpretations and zero-one laws can serve as an introduction to applications of model theory in computer science. Each chapter finishes with a brief commentary on the literature and suggestions for further reading.
發表於2024-12-25
A Shorter Model Theory 2024 pdf epub mobi 電子書 下載
圖書標籤: 模型論 數理邏輯 邏輯學 邏輯 數學 ebooks Model-Theory MathLogic
前四章。此書的證明實在是太過簡略且自然語言太多,一個一個補證明很頭疼。
評分前四章。此書的證明實在是太過簡略且自然語言太多,一個一個補證明很頭疼。
評分前四章。此書的證明實在是太過簡略且自然語言太多,一個一個補證明很頭疼。
評分隻讀瞭第一章,條理清晰
評分幾乎就是不Short那本的刪減版,而且還沒ocr(滑稽
A Shorter Model Theory 2024 pdf epub mobi 電子書 下載