Categorical Logic
Logic via categories: classifying topoi and Lawvere theories.
Categorical Logic. Logic via categories: classifying topoi and Lawvere theories.
Foundations and canonical references
The standard treatments of categorical logic approach the subject from complementary angles. Jacobs, Categorical Logic and Type Theory (1999) 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 categorical logic 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 · 1999Categorical Logic and Type Theoryjacobs-1999
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