This book constitutes the refereed proceedings of the 5th International Workshop on Frontiers of Combining Systems, FroCoS 2005, held in Vienna, Austria, in September 2005. The 19 revised full papers presented including 2 system descriptions were carefully reviewed and selected from 28 submissions. The papers are organized in topical sections on combinations of logics, theories, and decision procedures; constraint solving and programming; combination issues in rewriting and programming as well as in logical frameworks and theorem proving systems.

This book constitutes the refereed proceedings of the 9th International Symposium on Frontiers of Combining Systems, FroCoS 2013, held in Nancy, France, in September 2013. The 20 revised full papers presented together with 4 invited papers were carefully reviewed and selected from 33 submissions. FroCoS'13 seeks to offer a common forum for research in the general area of combination, modularization and integration of systems, with emphasis on logic-based ones, and of their practical use. Typical topics of interest include following subjects: combinations of logics such as combined predicate, temporal, modal or epistemic logics, combinations and modularity in ontologies, combination of decision, procedures, of satisfiability, procedures and of constraint solving techniques, combinations and modularity in term rewriting, integration of equational and other theories into deductive systems, combination of deduction systems and computer algebra, integration of data structures into constraint logic programming and deduction, and modularizing programs and specifications.

This book constitutes the refereed proceedings of the 4th International Conference on Frontiers of Combining Systems, FroCoS 2002, held in Santa Margherita Ligure, Italy, in April 2002. The 14 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 35 submissions. Among the topics covered are combination of logics, combination of constraint solving techniques, combination of decision procedures, combination problems in verification, modular problems of theorem proving, and the integration of decision procedures and other solving processes into constraint programming and deduction systems.

This book constitutes the refereed proceedings of the Third International Workshop on Frontiers of Combining Systems, FroCoS 2000, held in Nancy, France, in March 2000. The 14 revised full papers presented together with four invited papers were carefully reviewed and selected from a total of 31 submissions. Among the topics covered are constraint processing, interval narrowing, rewriting systems, proof planning, sequent calculus, type systems, model checking, theorem proving, declarative programming, logic programming, and equational theories.

This book constitutes the proceedings of the 11th International Symposium on Frontiers of Combining Systems, FroCoS 2017, held in Brasília, Bazil, in September 2017. The 17 papers presented in this volume were carefully reviewed and selected from 26 submissions. They were organized in topical sections named: description and temporal logics, decision procedures, decidability and verification, SAT, SMT and automated theorem proving, term rewriting, and properties and combinations of logics. The paper 'Subtropical Satisfiability' is open access under a CC BY 4.0 license via link.springer.com.

This book constitutes the proceedings of the 12th International Symposium on Frontiers of Combining Systems, FroCoS 2019, held in London, UK, in September 2019, colocated with the 28th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2019. The 20 papers presented were carefully reviewed and selected from 30 submissions. They present research on the development of techniques and methods for the combination and integration of formal systems, their modularization and analysis. The papers are organized in the following topical sections: automated theorem proving and model building, combinations of systems, constraint solving, description logics, interactive theorem proving, modal and epistemic logics, and rewriting and unification.

This book constitutes the refereed proceedings of the 6th International Symposium on Frontiers of Combining Systems, FroCoS 2007, held in Liverpool, UK, September 2007. The 14 revised full papers presented were carefully selected and are organized in topical sections on combinations of logics, theories, and decision procedures; constraint solving and programming; combination issues in rewriting and programming as well as in logical frameworks and theorem proving systems.