Handbook Of Practical Logic And Automated Reasoning

A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.

Handbook of Automated Reasoning

This account of propositional logic concentrates on the algorithmic translation of important methods, especially of decision procedures for (subclasses of) propositional logic. Important classical results and a series of new results taken from the fields of normal forms, satisfiability and deduction methods are arranged in a uniform and complete theoretic framework. The algorithms presented can be applied to VLSI design, deductive databases and other areas. After introducing the subject the authors discuss satisfiability problems and satisfiability algorithms with complexity considerations, the resolution calculus with different refinements, and special features and procedures for Horn formulas. Then, a selection of further calculi and some results on the complexity of proof procedures are presented. The last chapter is devoted to quantified boolean formulas. The algorithmic approach will make this book attractive to computer scientists and graduate students in areas such as automated reasoning, logic programming, complexity theory and pure and applied logic.

A gentle introduction for graduate students and researchers in the art of formalizing mathematics on the basis of type theory.

An innovative and largely self-contained textbook bringing model theory to an undergraduate audience.

The first introductory textbook on description logics, relevant to computer science, knowledge representation and the semantic web.