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System description: Proof planning in higher-order logic with λClam

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What this work says

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

inferredcites →https://doi.org/10.1007/3-540-52885-7_123openalex-snapshot
The OYSTER-CLAM system
inferredcites →https://doi.org/10.1007/bf00244460openalex-snapshot
Productive use of failure in inductive proof
inferredcites →https://doi.org/10.1007/bfb0012819openalex-snapshot
9th International Conference on Automated Deduction
inferredcites →https://doi.org/10.1007/bfb0012826openalex-snapshot
The use of explicit plans to guide inductive proofs
inferredcites →https://doi.org/10.1007/bfb0013606openalex-snapshot
A logic programming approach to implementing higher-Order term rewriting
inferredcites →https://doi.org/10.1007/bfb0105418openalex-snapshot
Higher-order annotated terms for proof search
inferredcites →https://doi.org/10.1016/0004-3702(93)90079-qopenalex-snapshot
Rippling: A heuristic for guiding inductive proofs

What points at this work

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

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Workshop on the Evaluation of a Tactical Decision Aid Display
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Logical and Meta-Logical Frameworks
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Clause Form Conversions for Boolean Circuits
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System Description: Multi A Multi-strategy Proof Planner
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Proving and Disproving Termination of Higher-Order Functions
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Upside-Down Transformation in SOL/Connection Tableaux and Its Application
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A Tool for Automated Theorem Proving in Agda
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Synthesizing Proof Planning Methods and Ω-Ants Agents from Mathematical Knowledge
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OMDoc – An Open Markup Format for Mathematical Documents [version 1.2]
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Best-First Rippling
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A Semantics for Proof Plans with Applications to Interactive Proof Planning
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Proof Development with ΩMEGA: √2 Is Irrational
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Searching for Invariants Using Temporal Resolution
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Ordinal Arithmetic: A Case Study for Rippling in a Higher Order Domain
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An Application of Model Building in a Resolution Decision Procedure for Guarded Formulas
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Logic Program Synthesis in a Higher-Order Setting
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Inductive Theorem Proving and Computer Algebra in the MathWeb Software Bus
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Proof Development with Ωmega
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A Critique of Proof Planning
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Counting the Number of Equivalent Binary Resolution Proofs
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A Comparison of Two Proof Critics: Power vs. Robustness
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Algorithms, Datastructures, and other Issues in Efficient Automated Deduction
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Extraction of Proofs from the Clausal Normal Form Transformation
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Proofs About Lists Using Ellipsis
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Simplification of Horn Clauses That Are Clausal Forms of Guarded Formulas
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Abstract: Proof Planning with Program Schemas
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Proof Mechanization: From Dream to Reality
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A Generalisation of the Hyperresolution Principle to First Order Gödel Logic
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Mechanised Reasoning and Model Generation for Extended Modal Logics
inferred← citeshttps://doi.org/10.1007/978-3-540-24773-9_8openalex-snapshot
Monodic ASMs and Temporal Verification
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Chain Resolution for the Semantic Web
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Four Approaches to Automated Reasoning with Differential Algebraic Structures
inferred← citeshttps://doi.org/10.1007/978-3-540-30221-6_2openalex-snapshot
Ωmega: Computer Supported Mathematics
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Bridging Theorem Proving and Mathematical Knowledge Retrieval
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Can a Higher-Order and a First-Order Theorem Prover Cooperate?
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Combining an Inference Engine with Databases: A Rule Server
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Pure Type Systems in Rewriting Logic: Specifying Typed Higher-Order Languages in a First-Order Logical Framework
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IsaPlanner: A Prototype Proof Planner in Isabelle
inferred← citeshttps://doi.org/10.1007/978-3-540-69149-5_45openalex-snapshot
Tool Integration for Reasoned Programming
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LEO-II - A Cooperative Automatic Theorem Prover for Classical Higher-Order Logic (System Description)
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THF0 – The Core of the TPTP Language for Higher-Order Logic
inferred← citeshttps://doi.org/10.1007/978-3-540-73595-3_20openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-540-73595-3_33openalex-snapshot
Proving Termination by Bounded Increase
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On Correctness of Mathematical Texts from a Logical and Practical Point of View
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Trust and Automation in Verification Tools
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Termination Analysis by Dependency Pairs and Inductive Theorem Proving
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Progress in the Development of Automated Theorem Proving for Higher-Order Logic
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Improving Coq Propositional Reasoning Using a Lazy CNF Conversion Scheme
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Case-Analysis for Rippling and Inductive Proof
inferred← citeshttps://doi.org/10.1007/978-3-642-14203-1_24openalex-snapshot
Focused Inductive Theorem Proving
inferred← citeshttps://doi.org/10.1007/978-3-642-22438-6_25openalex-snapshot
System Description: SPASS-FD
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Exploring the Foundations of Discrete Analytical Geometry in Isabelle/HOL
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Research of Semantic Web Model and Reasoning Based on F-Logic
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On the Satisfiability and Validity Problems in the Propositional Gödel Logic
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Nuprl as Logical Framework for Automating Proofs in Category Theory
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Machine Learning Approach to Enhance the Design of Automated Theorem Provers
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Coherent and Strongly Discrete Rings in Type Theory
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Simple and Efficient Clause Subsumption with Feature Vector Indexing
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Harald Ganzinger’s Legacy: Contributions to Logics and Programming
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First-Order Resolution Methods for Modal Logics
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Computation in Real Closed Infinitesimal and Transcendental Extensions of the Rationals
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Non-cyclic Sorts for First-Order Satisfiability
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Proof Development with Ωmega: The Irrationality of $$\sqrt 2$$
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Crystal: Integrating Structured Queries into a Tactic Language
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The Use of Embeddings to Provide a Clean Separation of Term and Annotation for Higher Order Rippling
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Automation of Higher-Order Logic
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Equality Reasoning in Sequent-Based Calculi
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Classical Type Theory
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Proof planning with multiple strategies
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Failure Reasoning in Multiple-Strategy Proof Planning
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Strategic Issues, Problems and Challenges in Inductive Theorem Proving
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On the Comparison of Proof Planning Systems: , Ωmega and IsaPlanner
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Hiproofs: A Hierarchical Notion of Proof Tree
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Enhancing Theorem Prover Interfaces with Program Slice Information
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TPS: A hybrid automatic-interactive system for developing proofs
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A proof-centric approach to mathematical assistants
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Computer supported mathematics with Ωmega
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SAD as a mathematical assistant—how should we go from here to there?
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Supporting the formal verification of mathematical texts
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A Proof-Planning Framework with explicit Abstractions based on Indexed Formulas
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MBase: Representing mathematical Knowledge in a Relational Data Base
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Higher order function synthesis through proof planning
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Formal Approaches to Systems Analysis Using UML
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