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Logic – An Introduction to Elementary Logic. Penguin Books. [1] Hodges, Wilfrid (1985). Building Models by Games. London Mathematical Society Student Texts. Cambridge University Press. ISBN 9780521268974. Hodges, Wilfrid (1993). Model Theory. Encyclopedia of Mathematics. Cambridge University Press. ISBN 0-521-30442-3. [2] Hodges, Wilfrid (1997).
Logic plays a fundamental role in computer science. Some of the key areas of logic that are particularly significant are computability theory (formerly called recursion theory), modal logic and category theory. The theory of computation is based on concepts defined by logicians and mathematicians such as Alonzo Church and Alan Turing.
Logic programming is a programming, database and knowledge representation paradigm based on formal logic. A logic program is a set of sentences in logical form, representing knowledge about some problem domain. Computation is performed by applying logical reasoning to that knowledge, to solve problems in the domain.
Language, Truth, and Logic; Laws of Form; The Laws of Thought; Logic and Sexual Morality; Logic Made Easy; Logic: The Laws of Truth; Logical Investigations (Husserl) The Logical Structure of Linguistic Theory
Principles of Mathematical Logic is the 1950 [1] American translation of the 1938 second edition [2] of David Hilbert's and Wilhelm Ackermann's classic text Grundzüge der theoretischen Logik, [3] on elementary mathematical logic.
Prolog is a logic programming language that has its origins in artificial intelligence, automated theorem proving and computational linguistics. [1] [2] [3]Prolog has its roots in first-order logic, a formal logic, and unlike many other programming languages, Prolog is intended primarily as a declarative programming language: the program is a set of facts and rules, which define relations.
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It is a normal modal logic, and one of the oldest systems of modal logic of any kind. It is formed with propositional calculus formulas and tautologies , and inference apparatus with substitution and modus ponens , but extending the syntax with the modal operator necessarily {\displaystyle \Box } and its dual possibly {\displaystyle \Diamond } .