Frontiers of combining systems

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The content covers a comprehensive framework for combined decision procedures, exploring connections between many-sorted structures and theories through adjoint functions. It discusses the combination of data structures with nonstably infinite theories using many-sorted logic and presents a rewriting approach to satisfiability procedures, including extensions and experimental appraisals. The text delves into interface formalisms and sociable interfaces, as well as the combination of trees and rational numbers within a complete first-order theory. It introduces a complete temporal and spatial logic for distributed systems, alongside topics in constraint solving and programming, such as hybrid CSP solving and efficient decision procedures for UTVPI constraints. The work emphasizes declarative constraint programming using definitional trees and logical problem analysis. It includes discussions on hash functions, rewriting and programming combination issues, and methods for proving termination and liveness in higher-order functions. Additionally, it presents a concurrent lambda calculus with futures and compositional system design. The ASM method is introduced for system design and analysis, followed by logical problem analysis and encoding, including matching classifications through a bidirectional integration of SAT and linguistic resources. Finally, it covers theorem proving frameworks, connecting logical frameworks to first-or