Model Theory Investigates The Relationships Between Mathematical Structures Models On The One Hand And Formal Languages In Which Statements About These Structures Can Be Formulated On The Other Example Structures Are The Natural Numbers With The Usual Arithmetical Operations, The Structures Familiar From Algebra, Ordered Sets, Etc The Emphasis Is On First Order Languages, The Model Theory Of Which Is Best Known An Example Result Is L Wenheim S Theorem The Oldest In The Field A First Order Sentence True Of Some Uncountable Structure Must Hold In Some Countable Structure As Well Second Order Languages And Several Of Their Fragments Are Dealt With As Well As The Title Indicates, This Book Introduces The Reader To What Is Basic In Model Theory A Special Feature Is Its Use Of The Ehrenfeucht Game By Which The Reader Is Familiarised With The World Of Models
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- 130 pages
- Basic Model Theory (Center for the Study of Language and Information - Lecture Notes)
- Kees Doets
- 19 September 2019 Kees Doets