Quick Overview: This video covers the formal proof system called natural deduction (without quantifiers), along with the corresponding sequent ... We cover the semantic definitions for propositional This videos covers the rules for proving first order

Logic Foundations With Haskel Logic - Detailed Overview & Context

This video covers the formal proof system called natural deduction (without quantifiers), along with the corresponding sequent ... We cover the semantic definitions for propositional This videos covers the rules for proving first order We formally define the syntax of propositional I discuss how to define functions using pattern matching and guards. Then I introduce where, let and case expressions. All code ... In this video we implement our own version of the type Bool, along with the functions in the standard library that act on Bool.

We discuss how the foldr and foldl patterns can be used for very compact implementations. All code can be found in the course git ... We cover the basic definitions of set theory in preparation for understanding the ZFC axioms. 00:00 Introduction 00:17 Definition: ... We show that the natural deduction proof calculus is sound for propositional We implement functions as sets of pairs. All code can be found in the course git repository ... We prove completeness of the natural deduction proof calculus for propositional In this video we implement sets and associated functions. All code can be found in the course git repository ...

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Logic & Foundations with Haskel: Logic 1 :: Introduction
Logic & Foundations with Haskell: Logic 5 :: Natural Deduction
Logic & Foundations with Haskell: Course Intro
Logic & Foundations with Haskell: Logic 2 :: Naive Propositional Logic
Logic & Foundations with Haskell: Logic 7 :: Semantics for Propositional Logic
Logic & Foundations with Haskell: Logic 4 :: Informal Proof Theory
Logic & Foundations with Haskell: Logic 6 :: Language of Propositional Logic
3.3 The Foundations of Logic
Logic & Foundations with Haskell: Haskell 2 :: Basic Operations
Logic & Foundations with Haskell: Logic 3 :: Naive First Order Logic
Logic & Foundations with Haskell: Haskell 4 :: Functions
Logic & Foundations with Haskell: Haskell 5 :: Implementing Logical Functions
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