Formal Derivation of a Scheme Computer
https://legacy.cs.indiana.edu/ftp/techreports/TR544.pdf
Slightly off topic, but somewhat interesting
https://legacy.cs.indiana.edu/ftp/techreports/TR544.pdf
Slightly off topic, but somewhat interesting
Sets for Mathematics
http://patryshev.com/books/Sets%20for%20Mathematics.pdf
http://patryshev.com/books/Sets%20for%20Mathematics.pdf
Foundations of Algebraic Geometry
http://math.stanford.edu/~vakil/216blog/FOAGnov1817public.pdf
http://math.stanford.edu/~vakil/216blog/FOAGnov1817public.pdf
Design Patterns as Higher-Order Datatype-Generic Programs
http://www.cs.ox.ac.uk/jeremy.gibbons/publications/hodgp.pdf
http://www.cs.ox.ac.uk/jeremy.gibbons/publications/hodgp.pdf
Logic-Free Formalisations of Recursive Arithmetic
https://www.mscand.dk/article/view/10412/8433
https://www.mscand.dk/article/view/10412/8433
Purely Functional Data Structures
http://www.cs.cmu.edu/~rwh/theses/okasaki.pdf
http://www.cs.cmu.edu/~rwh/theses/okasaki.pdf
About the completeness of a certain system of integer arithmetic in which addition is the only operation (translated, with additional remarks)
https://cs.fit.edu/~ryan/papers/presburger.pdf
https://cs.fit.edu/~ryan/papers/presburger.pdf
Complexity Hierarchies beyond ELEMENTARY
https://arxiv.org/pdf/1312.5686.pdf
https://arxiv.org/pdf/1312.5686.pdf
The Realm of Ordinal Analysis
https://www1.maths.leeds.ac.uk/~rathjen/realm.pdf
https://www1.maths.leeds.ac.uk/~rathjen/realm.pdf
Valery Isaev - Arend Proof Assistant.pdf
140.2 KB
Arend Proof Assistant
Andrea Vezzosi - Indexed Families in Cubical Agda.pdf
74 KB
Indexed Families' computation in Cubical Agda
An Introduction to Proof Theory
http://www.math.ucsd.edu/~sbuss/ResearchWeb/handbookI/ChapterI.pdf
http://www.math.ucsd.edu/~sbuss/ResearchWeb/handbookI/ChapterI.pdf
First-Order Theorem Proving and Vampire
http://www.vprover.org/cav2013.pdf
http://www.vprover.org/cav2013.pdf
Transfinite Ordinals and their Notations
http://www.cs.fsu.edu/~levitz/ords.ps
http://www.cs.fsu.edu/~levitz/ords.ps
An Introduction to Set Theory
https://www.math.toronto.edu/weiss/set_theory.pdf
https://www.math.toronto.edu/weiss/set_theory.pdf
Introduction to Ordinal Analysis
https://www.uni-goettingen.de/de/document/download/1bb43144c8c4bb68805337a25d8d1db9.pdf/pohlers_handout_3.pdf
https://www.uni-goettingen.de/de/document/download/1bb43144c8c4bb68805337a25d8d1db9.pdf/pohlers_handout_3.pdf
First- and Second-Order Models of Recursive Arithmetics
https://arxiv.org/pdf/1705.05459.pdf
https://arxiv.org/pdf/1705.05459.pdf
Algebraic Topology
https://pi.math.cornell.edu/~hatcher/AT/AT.pdf
https://pi.math.cornell.edu/~hatcher/AT/AT.pdf
Non-commutative Logic I: the Multiplicative Fragment
https://static.aminer.org/pdf/PDF/000/753/432/non_commutative_logic_i_the_multiplicative_fragment.pdf
https://static.aminer.org/pdf/PDF/000/753/432/non_commutative_logic_i_the_multiplicative_fragment.pdf