Linguistics 726: Mathematical Linguistics

Barbara Partee and Vladimir Borschev
Fall 2001, University of Massachusetts, Amherst

 
 

Lecture 1. Basic Concepts of Set Theory   (.pdf)
 
Lecture 2. Relations and Functions   (.pdf)
 
Lecture 3. Properties of Relations   (.pdf)
 
Lecture 4. Algebra, Section 1   (.pdf)
 
Lecture 4.2. Algebra (cont'd.), Section 2   (.pdf)
 
Lecture 5. Logic, Section 1 - Statement Logic   (.pdf)
 
Lecture 6. Logic, Section 2 - Predicate Logic   (.pdf)
 
Lecture 7. Logic, Section 3 / Algebra, Section 3   (.pdf)
 
Lecture 8. Algebra, Section 4   (.pdf)
 
Lecture 9. Logic and Algebra - Lindenbaum Algebra   (.pdf)
 
Lecture 10. Model Theory   (.pdf)
 
Lecture 11. Proof by Induction   (.pdf)
 
Lecture 12. More Algebra   (.pdf)
 
Lecture 13. Formal Phonology - Features and their structure   (.pdf)
 
Lecture 14. Infinities   (.pdf)
 
Lecture 15. Automata and Grammars, Section 1   (.pdf)
 
Lecture 15.2. Automata and Grammars, Section 1 (cont'd.)   (.pdf)
 
Lecture 16. Natural Language Quantifiers as Finite State Automata   (.pdf)
 
Lecture 17. Automata and Grammars, Section 2   (.pdf)