Automated Deduction in Classical and Non-Classical Logics Selected Papers

This volume presents a collection of thoroughly reviewed revised full papers on automated deduction in classical, modal, and many-valued logics, with an emphasis on first-order theories.Five invited papers by prominent researchers give a consolidated view of the recent developments in first-order theorem proving. The 14 research papers presented went through a twofold selection process and were first presented at the International Workshop on First-Order Theorem Proving, FTP'98, held in Vienna, Austria, in November 1998. The contributed papers reflect the current status in research in the area; most of the results presented rely on resolution or tableaux methods, with a few exceptions choosing the equational paradigm.

Invited Papers.- Automated Theorem Proving in First-Order Logic Modulo: On the Difference between Type Theory and Set Theory.- Higher-Order Modal Logic—A Sketch.- Proving Associative-Commutative Termination Using RPO-Compatible Orderings.- Decision Procedures and Model Building or How to Improve Logical Information in Automated Deduction.- Replacement Rules with Definition Detection.- Contributed Papers.- On the Complexity of Finite Sorted Algebras.- A Further and Effective Liberalization of the ?-Rule in Free Variable Semantic Tableaux.- A New Fast Tableau-Based Decision Procedure for an Unquantified Fragment of Set Theory.- Interpretation of a Mizar-Like Logic in First Order Logic.- An ((n · log n)3)-Time Transformation from Grz into Decidable Fragments of Classical First-Order Logic.- Implicational Completeness of Signed Resolution.- An Equational Re-engineering of Set Theories.- Issues of Decidability for Description Logics in the Framework of Resolution.- Extending Decidable Clause Classes via Constraints.- Completeness and Redundancy in Constrained Clause Logic.- Effective Properties of Some First Order Intuitionistic Modal Logics.- Hidden Congruent Deduction.- Resolution-Based Theorem Proving for SH n-Logics.- Full First-Order Sequent and Tableau Calculi With Preservation of Solutions and the Liberalized ?-Rule but Without Skolemization.