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Refutational theorem proving for hierarchic first-order theories

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

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On the power of algebraic specifications
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On restrictions of ordered paramodulation with simplification
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A resolution principle for clauses with constraints
inferredcites →https://doi.org/10.1007/3-540-53904-2_95openalex-snapshot
Proofs in parameterized specifications
inferredcites →https://doi.org/10.1007/3-540-55034-8openalex-snapshot
A Resolution Principle for a Logic with Restricted Quantifiers
inferredcites →https://doi.org/10.1007/978-94-009-6259-0_4openalex-snapshot
Correspondence Theory
inferredcites →https://doi.org/10.1007/bf00244275openalex-snapshot
Automated deduction by theory resolution
inferredcites →https://doi.org/10.1016/b978-0-444-88074-1.50018-4openalex-snapshot
Algebraic Specification
inferredcites →https://doi.org/10.1016/s0076-5392(08)62322-xopenalex-snapshot
1 Elements of Mathematical Logic
inferredcites →https://doi.org/10.1093/logcom/4.3.217openalex-snapshot
Rewrite-based Equational Theorem Proving with Selection and Simplification
inferredcites →https://doi.org/10.1145/41625.41635openalex-snapshot
Constraint logic programming
inferredcites →https://doi.org/10.2307/2314853openalex-snapshot
Elements of Mathematical Logic.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Cancellative Abelian Monoids and Related Structures in Refutational Theorem Proving (Part I)
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Theory Instantiation
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Cancellative Superposition Decides the Theory of Divisible Torsion-Free Abelian Groups
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Associative-commutative superposition
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Theorem proving in cancellative abelian monoids (extended abstract)
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Hierarchic Superposition Revisited
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Symbol Elimination and Applications to Parametric Entailment Problems
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A Sorted Datalog Hammer for Supervisor Verification Conditions Modulo Simple Linear Arithmetic
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An Efficient Subsumption Test Pipeline for BS(LRA) Clauses
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Symbolic Model Construction for Saturated Constrained Horn Clauses
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Finite Quantification in Hierarchic Theorem Proving
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AVATAR: The Architecture for First-Order Theorem Provers
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Beagle – A Hierarchic Superposition Theorem Prover
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On First-Order Model-Based Reasoning
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Concept Forgetting in $$\mathcal {ALCOI}$$-Ontologies Using an Ackermann Approach
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Predicate Elimination for Preprocessing in First-Order Theorem Proving
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On the Combination of the Bernays–Schönfinkel–Ramsey Fragment with Simple Linear Integer Arithmetic
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The Bernays–Schönfinkel–Ramsey Fragment with Bounded Difference Constraints over the Reals Is Decidable
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Integrating Linear Arithmetic into Superposition Calculus
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Improved Second-Order Quantifier Elimination in Modal Logic
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Instantiation of SMT Problems Modulo Integers
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Logic for Programming, Artificial Intelligence, and Reasoning
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Superposition-Based Analysis of First-Order Probabilistic Timed Automata
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Superposition Modulo Non-linear Arithmetic
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Automatic Generation of Invariants for Circular Derivations in SUP(LA)
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The TPTP Typed First-Order Form with Arithmetic
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Superposition for Bounded Domains
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First-Order Resolution Methods for Modal Logics
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Hierarchic Superposition with Weak Abstraction
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Completeness and Decidability Results for First-Order Clauses with Indices
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A Comprehensive Framework for Saturation Theorem Proving
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Superposition as a Decision Procedure for Timed Automata
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Superposition Decides the First-Order Logic Fragment Over Ground Theories
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Modular proof systems for partial functions with Evans equality
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Automatically Testing Containedness between Geometric Graph Classes defined by Inclusion, Exclusion, and Transfer Axioms under Simple Transformations
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Symbol Elimination for Parametric Second-Order Entailment Problems (with Applications to Problems in Wireless Network Theory)
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