Chapters 49 introduce several techniques in mechanical theorem proving, and chapters 10 an 11 show how theorem proving can be applied to various areas such as question answering, problem solving, program analysis, and program synthesis. This book was translated into japanese, russian and italian. Digital logic applied to motor controls and plcs duration. In this paper i consider a similar formal system of simple type theory. Symbolic logic and mechanical theorem proving computer science and applied mathematics pdf. Shortening proofs by quantifier introduction springerlink.
In 15 and, the discussion of fuzzy logic was limited to propositional calculus. Symbolic logic and mechanical theorem proving computer science and applied mathematics 1st edition by chinliang chang, richard chartung lee hardcover, 331 pages, published 1973. Higher order logic theorem proving and its applications. The hol system is a higher order logic theorem proving system implemented at edinburgh university, cambridge university and inria. Symbolic logic and mechanical theorem proving by chinliang chang.
Pdf download symbolic logic and mechanical theorem proving download full ebook. We present here two techniques for logical theorem proving in propositional logic. Symbolic logic and mechanical theorem proving philpapers. Symbolic logic and mechanical theorem proving book. Symbolic logic and mechanical theorem proving by chinliang chang, 9780121703509, available at book depository with free delivery worldwide. Pdf introduction to symbolic logic and its applications. The following notation will be used to represented a symbolic theorem, stating that conclusion c follows from a set of premises p 1, p 2 p n. Part of the lecture notes in computer science book series lncs, volume. The widespread intensive interest in mechanical theorem proving is caused not only by the growing awareness that the ability to make logical deductions is an integral part of human intelligence, but is perhaps more a result of the status of mechanical theorem proving techniques in the late. Symbolic logic and mechanical theorem proving computer science classics chinliang chang, richard chartung lee on. Zhukova n, andrianova n and klimov n program system for object models deductive synthesis proceedings of the 24th conference of.
Logic, symbolic and mathematical, automatic theorem proving, artificial intelligence publisher. Symbolic logic and mechanical theorem proving chinliang chang and richard chartung lee related databases. Lee, symbolic logic and mechanical theorem proving. Quaife used a general purpose theorem prover to automate the proof of some. Buy symbolic logic and mechanical theorem proving by chang, chinliang, lee, richard chartung isbn. Enter your mobile number or email address below and well send you a link to download the free kindle app. Symbolic logic and mechanical theorem proving open library. Fuzzy logic fuzzy logic is based on the concepts of fuzzy sets 3, 5, 6, 15, 26, 27 and symbolic logic.
Automated theorem proving also known as atp or automated deduction is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Synopsis this book contains an introduction to symbolic logic and a thorough discussion of mechanical theorem proving and its applications. Purchase symbolic logic and mechanical theorem proving 1st edition. The courses in logic at harvard cover all of the major areas of mathematical logic proof theory, recursion theory, model theory, and set theoryand, in addition, there are courses in closely related areas, such as the philosophy and foundations of mathematics, and theoretical issues in the theory of computation. Generalization of clauses relative to a theory springerlink. Symbolic logic and mechanical theorem proving pdf, best book for english communication skills, the course follows the classic text. Zhukova n, andrianova n and klimov n program system for object models deductive synthesis proceedings of the 24th conference of open innovations association fruct, 803809. Artificial intelligence, automatic theorem proving, symbolic and mathematical logic. Symbolic logic and mechanical theorem proving book, 1973. Proof theoretical investigations of several formal systems based on positive and negative parts are published in 11. Mechanical theoremproving by model elimination springerlink. Chapters 49 introduce several techniques in mechanical theorem proving, and chapters 10 an 11 show how theorem proving can be applied to various areas such as.
This classic text provides a thorough discussion of mechanical theorem proving and its applications as well as an introduction to symbolic logic. Symbolic logic and mechanical theorem proving by chin. For axiom systems specified using equational logic, the wolfram language includes stateoftheart capabilities for generating full symbolic proof objects. Lee, symbolic logic and mechanical theorem proving academic press, 1973 antony galton, logic for information technology wiley, 1990 steve reeves and michael clarke, logic for computer science addisonwesley, 1990 there are numerous exercises in these notes, and they are suitable for supervision purposes. This book contains an introduction to symbolic logic and a thorough discussion of mechanical theorem proving its applications. Symbolic logic and mechanical theorem proving guide books. Symbolic logic and mechanical theorem provingnovember 1997. Symbolic logic and mechanical theorem proving sciencedirect.
Symbolic logic and mechanical theorem proving 1973. Symbolic logic and mechanical theorem proving semantic. Its many applications, from the verification of hardware designs at all levels to the verification of programs and communication protocols are considered in depth in this volume. Techniques for generalization of clauses relative to a theory, based on the voperators or saturation in its original form, have primarily been developed for horn clauses. Pdf download symbolic logic and mechanical theorem. This chapter discusses artificial intelligence, symbolic logic, and theorem proving. Download pdf symbolic logic and mechanical theorem proving book full free. Email to a friend facebook twitter citeulike newsvine digg this delicious. Symbolic logic and mechanical theorem proving available for download and read online in other f. This book contains an introduction to symbolic logic and a thorough discussion of mechanical theorem proving and its applications. Chapters 2 and 3 constitute an introduction to symbolic logic. Symbolic logic and mechanical theorem proving computer. Mechanical theorem proving is an important subject in.
Symbolic logic and mechanical theorem proving ebok. Symbolic logic and mechanical theorem proving computer science classics hardcover quantity. Symbolic logic and mechanical theorem proving isbn. Introduction to hol a theorem proving environment for higher order logic. Automated reasoning over mathematical proof was a major impetus for the development of computer science. Symbolic logic and mechanical theorem proving by chinliang chang, 1973, academic press edition, in english. A purely modeltheoretic approach to firstorder logic is adopted, and the book emphasizes efficient computer implementations of proof techniques. Symbolic logic and mechanical theorem proving 1st edition. Syntactical and semantical properties of simple type. Sometimes the theorem proving is an implicit part of other operations. Firstorder logic and automated theorem proving philpapers. Lee, symbolic logic and mechanical theorem proving academic press, 1973 for. Go to previous content download this content share this content add this content to favorites go to next content.