The term "higher-order logic", abbreviated as HOL, is commonly used to mean higher-order simple predicate logic. Here "simple" indicates that the underlying type theory is the theory of simple types, also called the simple theory of types… ^ Henkin, Leon (1957). "Review: Introduction to Mathematical Logic by Alonzo Church" (PDF). Bull. In logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is a symbol or word used to connect two or more sentences (of either a formal or a natural language) in a grammatically valid way… The Lambda Calculus - Free download as PDF File (.pdf), Text File (.txt) or read online for free. The λ-calculus is, at heart, a simple notation for functions and application. The main ideas are applying a function to an argument and… CSC438 - Free download as PDF File (.pdf), Text File (.txt) or read online for free. Course notes for CSC438

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Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics. It bears close connections to metamathematics, the foundations of mathematics, and theoretical computer science. A theory about a topic is usually a first-order logic together with a specified domain of discourse over which the quantified variables range, finitely many functions from that domain to itself, finitely many predicates defined on that… In logic, a tautology (from the Greek word ταυτολογία) is a formula or assertion that is true in every possible interpretation. Anyway, there are surely notions in categorical logic corresponding to known notions of traditional mathematical logic. And there are prominent applications in theoretical computer science.