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Axe ’Em: Eliminating Spurious States with Induction Axioms

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Complete Integer Decision Procedures as Derived Rules in HOL
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Vampire
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On a Problem of Formal Logic
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On a Decision Method in Restricted Second Order Arithmetic
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Effective Entailment Checking for Separation Logic with Inductive Definitions
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Induction with Generalization in Superposition Reasoning
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Integer Induction in Saturation
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cvc5: A Versatile and Industrial-Strength SMT Solver
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Reasoning About Vectors Using an SMT Theory of Sequences
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Solving Constrained Horn Clauses over Algebraic Data Types
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SMT-Based Model Checking for Recursive Programs
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Theory Refinement for Program Verification
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Deductive Verification in Decidable Fragments with Ivy
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Z3: An Efficient SMT Solver
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Dafny: An Automatic Program Verifier for Functional Correctness
inferredcites →https://doi.org/10.1007/978-3-642-27940-9_21openalex-snapshot
Automating Induction with an SMT Solver
inferredcites →https://doi.org/10.1007/978-3-642-38574-2_27openalex-snapshot
Automating Inductive Proofs Using Theory Exploration
inferredcites →https://doi.org/10.1007/978-3-642-39799-8_53openalex-snapshot
Effectively-Propositional Reasoning about Reachability in Linked Data Structures
inferredcites →https://doi.org/10.1007/978-3-642-40885-4_14openalex-snapshot
Obtaining Finite Local Theory Axiomatizations via Saturation
inferredcites →https://doi.org/10.1007/978-3-662-54577-5_5openalex-snapshot
Bounded Quantifier Instantiation for Checking Inductive Invariants
inferredcites →https://doi.org/10.1007/bf02759780openalex-snapshot
Decidability of a portion of the predicate calculus
inferredcites →https://doi.org/10.1007/bfb0030541openalex-snapshot
Isabelle
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Complexity results for classes of quantificational formulas
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STUDIES IN LOGIC AND THE FOUNDATIONS OF MATHEMATICS
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A NOTE ON THE THEORY OF WELL ORDERS
inferredcites →https://doi.org/10.1109/fmcad.2015.7542257openalex-snapshot
Compositional verification of procedural programs using horn clauses over integers and arrays
inferredcites →https://doi.org/10.1109/tit.1983.1056620openalex-snapshot
Distributed network protocols
inferredcites →https://doi.org/10.1145/1111037.1111048openalex-snapshot
Verifying properties of well-founded linked lists
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Back to the future
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Modular reasoning about heap paths via effectively propositional formulas
inferredcites →https://doi.org/10.1145/2594291.2594317openalex-snapshot
VeriCon
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A decision procedure for satisfiability in separation logic with inductive predicates
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The part-time parliament
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Paxos made EPR: decidable reasoning about distributed protocols
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Foundations for natural proofs and quantifier instantiation
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Modularity for decidability of deductive verification with applications to distributed systems
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Towards a unified proof framework for automated fixpoint reasoning using matching logic
inferredcites →https://doi.org/10.1145/3498722openalex-snapshot
Solving constrained Horn clauses modulo algebraic data types and recursive functions
inferredcites →https://doi.org/10.1145/3563354openalex-snapshot
Model-guided synthesis of inductive lemmas for FOL with least fixpoints
inferredcites →https://doi.org/10.1145/361179.361202openalex-snapshot
Self-stabilizing systems in spite of distributed control
inferredcites →https://doi.org/10.1145/3632875openalex-snapshot
An Infinite Needle in a Finite Haystack: Finding Infinite Counter-Models in Deductive Verification
inferredcites →https://doi.org/10.1145/3704853openalex-snapshot
Axe ’Em: Eliminating Spurious States with Induction Axioms
inferredcites →https://doi.org/10.2307/1995086openalex-snapshot
Decidability of Second-Order Theories and Automata on Infinite Trees
inferredcites →https://doi.org/10.2307/2271090openalex-snapshot
Definability in the monadic second-order theory of successor
inferredcites →https://doi.org/10.4204/eptcs.337.4openalex-snapshot
Automating Induction by Reflection
inferredcites →https://doi.org/10.4230/lipics.mfcs.2019.17openalex-snapshot
Finite Satisfiability of Unary Negation Fragment with Transitivity
inferredcites →https://doi.org/10.48550/arxiv.2401.16233openalex-snapshot
Incremental Proof Development in Dafny with Module-Based Induction
inferredcites →https://doi.org/10.48550/arxiv.2408.10685openalex-snapshot
Proving Cutoff Bounds for Safety Properties in First-Order Logic
inferredcites →https://doi.org/10.5281/zenodo.1003420openalex-snapshot
The Coq Proof Assistant
inferredcites →https://doi.org/10.5281/zenodo.13912208openalex-snapshot
Axe 'Em: Eliminating Spurious States with Induction Axioms (Artifact)

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