Tabla de Contenidos: “…Intro -- Preface -- Organization -- Invited Talks -- How to Solve Math Problems Without Talent -- Bridging Formal Mathematics and Software Verification -- The Art of SMT Solving -- Contents - Part I -- Contents - Part II -- Contents - Part III -- Decision Procedures -- Split Gröbner Bases for Satisfiability Modulo Finite Fields -- 1 Introduction -- 1.1 Related Work -- 2 Background -- 3 Motivating Example -- 3.1 Verifying the Determinism of Num2Bits -- 3.2 The Challenge of Bit-Splitting -- 3.3 Cooperative Reasoning: A Path Forward -- 4 Approach -- 4.1 Split Gröbner bases -- 4.2 Abstract Procedure: Split -- 4.3 Concrete Procedure: BitSplit -- 5 Experiments -- 5.1 Benchmarks -- 5.2 Comparison to Prior Solvers -- 5.3 Comparison to Variants -- 6 Application -- 6.1 Background on Verifiable Field-Blasting -- 6.2 A New Strategy for Verifying Operator Rules -- 7 Conclusion -- A Additional Background -- B Computing Bitsum Usage in Real World Projects -- C Proof of Theorem 1 -- D Proof of Theorems 2 and 3 -- E Proof of Lemma 1 -- F The Seq Benchmark Family -- G Proof of Theorem 4 -- References -- Arithmetic Solving in Z3 -- 1 Introduction -- 2 Design Goals and Implementation Choices -- 3 Linear Real Arithmetic -- 3.1 Linear Solving -- 3.2 Finding Equal Variables - Cheaply -- 3.3 Bounds Propagation -- 4 Integer Linear Arithmetic -- 4.1 Patching -- 4.2 Cubes -- 4.3 GCD Consistency -- 4.4 Branching -- 4.5 Cuts -- 5 Non-linear Arithmetic -- 5.1 Patch Monomials -- 5.2 Bounds Propagation -- 5.3 Adding Bounds -- 5.4 Gröbner reduction -- 5.5 Incremental Linearization -- 5.6 NLSat -- 6 Shared Equalities -- 7 Evaluation -- 8 Summary and Discussion -- References -- Algebraic Reasoning Meets Automata in Solving Linear Integer Arithmetic -- 1 Introduction -- 2 Preliminaries -- 3 Classical Automata-Based Decision Procedure for LIA…”

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