Ordered Logic

First-order logic

First-order logic, also known as predicate logic, is a formal system used in various fields such as mathematics, philosophy, linguistics, and computer science. It allows the use of quantified variables and sentences that contain variables, distinguishing it from propositional logic. First-order logic is commonly used for formalizing mathematics into axioms and has been extensively studied in the foundations of mathematics.

1 courses cover this concept

15-317 / 15-657 Constructive Logic

Carnegie Mellon University

Fall 2021

This undergraduate course introduces students to constructive logics such as intuitionistic and linear logic, focusing on their use in computer science. The goal is to understand the distinction between classical and constructive logic, define logical connectives, implement theorem provers, and explore computational interpretations of logics. Concepts covered include natural deduction, sequent calculus, logic programming, linear logic, and many more.

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