Nfirst-order logic and automated theorem proving pdf

Within computer sci ence formal logic turns up in a number of areas, from program verification to logic programming to artificial intelligence. An automated theoremproving system called tps for proving theorems of first or higherorder logic in automatic, semiautomatic, or interactive mode. Automated theorem proving introduction department of computer. Chapters 2 and 3 constitute an introduction to symbolic logic. Computer programs to nd formal proofs of theorems have a history going back nearly half a century. Decidability of bounded higherorder unification request pdf. Firstorder logic and automated theorem proving i melvin fitting. Automated theorem proving with extensions of firstorder logic. Lecture notes in computer science commenced publication in 1973 founding and former series editors. 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.

Melvin fitting, firstorder logic and automated theorem proving. This book is intended for computer scientists interested in automated theorem proving in classical logic. Automated reasoning over mathematical proof was a major impetus for the development of computer science. You may find it useful if you find my course notes too concise. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. Automated theorem proving atp first emerged in the late 1950s, when. On the undecidability of secondorder unification request pdf. Within computer science formal logic turns up in a number of areas, from pro gram verification to logic programming to artificial intelligence. Firstorder logic and automated theorem proving philpapers. Firstorder logic is the most familiar logic to mathematicians. Logic and proof department of computer science and technology. This thesis studies automated theorem proving in firstorder logic and its applications.

Some have philosophers as their intended audience, some mathematicians, some computer scien tists. This treatment of methods for automated proving of theorems expressed in logic is carefully and clearly written. Firstorder logic and automated theorem proving pdf free. First order logic is the most familiar logic to mathematicians. Automated theorem proving in firstorder logic modulo lsv. This reduction is the first main result of this paper, and it is the starting point for proving some novel results about the undecidability of secondorder unification presented in the rest of the. But if a theorem has no proof, then the theorem prover might enter a search without end. Firstorder logic and automated theorem proving springerlink. It contains a thorough presentation of formal logic and many proof techniques. Automated deductioncade17 17th international conference on automated deduction, pittsburgh, pa, usa, june 2000. This book is intended for computer scientists interested in automated theo rem proving in classical logic. 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. Originally designed as tools for mathematicians, modern applications of automated theorem provers and proof assistants are much more diverse.