
Frontiers of Combining Systems
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Content
- Title
- Preface
- Organization
- Table of Contents
- Invited Papers
- Tailoring Temporal Description Logics for Reasoning over Temporal Conceptual Models
- Introduction
- DL-Lite Logics
- Temporal Conceptual Modelling
- Temporal DL-Lite Logics
- Conclusions
- References
- Automatic Proof and Disproof in Isabelle/HOL
- Introduction
- Standard Proof Methods
- Simplification
- Auto and Co.
- Blast and Metis
- Sledgehammer: Proof Discovery Using External Provers
- Relevance Filtering
- Translation to First-Order Logic
- Invocation of External Provers
- Proof Reconstruction
- Proof Minimization
- Quickcheck: Counterexample Generation by Testing
- Random and Exhaustive Testing
- Test Data Generation
- Narrowing
- Nitpick: Countermodel Generation Using SAT Solvers
- Basic Translation to Relational Logic
- Approximation of Infinite Types and Partiality
- Encoding of (Co)inductive Predicates
- Encoding of (Co)inductive Datatypes
- Related Work
- Conclusion
- References
- Size-Change Termination and Satisfiability for Linear-Time Temporal Logics
- Introduction
- Linear-Time Temporal Logics
- Infinite Words
- LTL
- PSL - An Extension of LTL
- The Linear-Time µ-Calculus
- Automata on Infinite Words
- Alternating Parity Automata
- Subclasses of Alternating Parity Automata
- Constructions on Alternating Parity Automata
- Decision Problems for Alternating Parity Automata
- Alternating Parity Automata and Temporal Logics
- The Size-Change Termination Principle for Alternating Parity Automata
- Boxes and Their Composition
- Characterising the Emptiness Problem for Alternating Parity Automata
- References
- Contributed Papers
- Combining Theories: The Ackerman and Guarded Fragments
- Introduction
- Notations and Basic Definitions
- Combination of Theories
- The Guarded Fragments
- The Spectra of Guarded Fragments
- The Ackermann Class
- Conclusions
- References
- On the Undecidability of Fuzzy Description Logics with GCIs and Product T-norm
- Introduction
- T-norms and Fuzzy Logic
- Fuzzy Description Logics
- Undecidability w.r.t. Witnessed Models
- Undecidability w.r.t. Strongly Witnessed Models
- Conclusions
- References
- The Complexity of Reversal-Bounded Model-Checking
- Introduction
- Preliminaries
- From Reversal-Bounded Model-Checking to Reachability
- Complexity and Effective Presburger-Definability
- Conclusion
- References
- Expressing Polymorphic Types in a Many-Sorted Language
- Introduction
- First-Order Logic with Polymorphic Types
- Eliminating Polymorphic Types
- Symbol Discrimination
- Twin Sorts
- Decorated Terms
- Explicit Polymorphism
- Experiments and Conclusion
- References
- A Combination of Rewriting and Constraint Solving for the Quantifier-Free Interpolation of Arrays with Integer Difference Constraints
- Introduction
- Background and Preliminaries
- Modularized Constraints for the Theory BAXdiffIDL
- A Satisfiability Solver for BAX$_diff$ ? IDL
- Preprocessing
- Completion
- An Interpolating Solver for BAX$_diff$ ? IDL
- Interpolating Metarules
- The Interpolating Solver
- An Interpolating Solver for AX$_diff$ ? IDL
- Conclusions and Future Work
- References
- Superposition Modulo Non-linear Arithmetic
- Introduction
- Preliminaries
- SMT for Non-linear Arithmetic
- Superposition Modulo Non-linear Arithmetic
- Strong Satisfaction
- Experiments
- Conclusion
- References
- The Modal Logic of Equilibrium Models
- Introduction
- The Modal Logic of Equilibrium Models MEM
- Language
- Kripke Models
- Truth Conditions
- Axiomatics, Decidability, and Complexity
- HT Logic and Equilibrium Logic
- The Language L?
- Here-and-There Logic
- Equilibrium Logic
- From HT Logic and Equilibrium Logic to Modal Logic
- Translating L to L[T]
- From HT Logic to MEM
- From Equilibrium Logic to MEM
- Conclusion
- References
- Harnessing First Order Termination Provers Using Higher Order Dependency Pairs
- Introduction
- Preliminaries
- Splitting the System
- Simplifying the First Order Part
- Experiments
- Discussion
- References
- Stochastic Local Search for SMT: Combining Theory Solvers withWalkSAT
- Introduction
- Background
- Stochastic Local Search for SAT
- Satisfiability Modulo Theory
- Stochastic Local Search for SMT
- A Basic WalkSMT Procedure
- Enhancements to the Basic WalkSMT Procedure
- Preprocessing
- Single and Multiple Learning
- Literal Filterings
- Experimental Evaluation
- WalkSMT on SMT-LIB Instances
- WalkSMT on Random Instances
- Conclusions and Future Work
- References
- Controlled Term Rewriting
- Preliminaries
- CF and CS Tree Languages and TRS
- Controlled Term Rewriting
- Monotonic CntTRS
- Prefix Control
- Non-monotonic Rewrite Rules
- Recursive Prefix Control
- References
- Sharing Is Caring: Combination of Theories
- Introduction
- Preliminaries
- New Combination Method
- Combination Method
- Extension to Polite Combination
- Theory of Uninterpreted Functions
- Theory of Arrays
- Experimental Evaluation
- Conclusion
- References
- Modular Termination and Combinability for Superposition Modulo Counter Arithmetic
- Introduction
- A Motivating Example
- Preliminaries
- Superposition Calculus for Counter Arithmetic
- Background on Non-disjoint Combination
- Modular Termination
- A General Compatibility Result
- Applying Modular Termination and Combination
- Conclusions
- References
- Congruence Closure of Compressed Terms in Polynomial Time
- Introduction
- Preliminaries
- Term Rewriting Systems
- Grammar Compressed Terms and Term Rewriting Systems
- The Word-Problem for STG-Compressed Terms with DAG-Compressed Ground Equations
- A Normalizing Algorithm for Compressed Terms
- Deciding the Word Problem
- STG-Compressed Ground Term Rewriting Systems
- Complexity Bounds
- STG-Compressed gTRS with One Rule
- Monadic Ground Term Rewriting Systems
- Implementation and Tests
- Conclusion and Further Work
- References
- Generalized and Formalized Uncurrying
- Introduction
- Preliminaries
- Applicative Rewriting and Uncurrying
- Uncurrying in the Dependency Pair Framework
- Heuristics and Experiments
- Conclusions
- References
- A Semantic Account for Modularity in Multi-language Modelling of Search Problems
- Introduction
- Background: Model Expansion Task
- Modular Systems
- Expressive Power
- Approximating Solutions
- Related Work
- Conclusion and Future Work
- References
- Author Index
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