SCHOOL:

a Small Chorded Object Oriented Language

proofs
  
Soundness of the Type System of SCHOOL

Proof of lemma 1-- 2 pages
Proof of lemma 2 -- 1 page
Proof of lemma 3 -- 4 pages
Proof of theorem 1 -- 2 pages

Soundness of the Type System of SCHOOL+F

Proof of theorem 2 --3 pages

Soundness and Completeness of Encoding
of SCHOOL+F into SCHOOL wrt Types

Proof of theorem 3 --2 pages
Proof of theorem 4 --3 pages
Proof of lemma 4 -- 2 pages

Soundness of Encoding
of SCHOOL+F into SCHOOL wrt Execution

Proof of theorem 5 --2 pages

Completeness of Encoding
of SCHOOL+F into SCHOOL wrt Execution

Proof of lemma  5 --15 pages
Proof of lemma 6 --3 pages
Proof of lemma 7 -- 1 page
Proof of lemma 8 --2 pages
Proof of theorem 5 --3 page s