Proof Systems
Natural deduction, sequent calculus, and Hilbert systems.
Proof Systems. Natural deduction, sequent calculus, and Hilbert systems. This page collects canonical references that organise the subject and provide entry points to its main techniques.
Foundations and canonical references
The standard treatments of proof systems approach the subject from complementary angles. Girard, Proofs and Types (1989) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for proof systems include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1989Proofs and Typesgirard-1989, lafont-1989, taylor-paul-1989
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