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SETHEO: A high-performance theorem prover

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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_78openalex-snapshot
Partheo: A high-performance parallel theorem prover
inferredcites →https://doi.org/10.1007/978-3-322-90102-6openalex-snapshot
Automated Theorem Proving
inferredcites →https://doi.org/10.1007/978-3-642-86718-7openalex-snapshot
First-Order Logic
inferredcites →https://doi.org/10.1007/bf00244489openalex-snapshot
Short proofs of the pigeonhole formulas based on the connection method
inferredcites →https://doi.org/10.1007/bf00246025openalex-snapshot
Schubert's Steamroller problem: Formulations and solutions
inferredcites →https://doi.org/10.1007/bf00297245openalex-snapshot
A prolog technology theorem prover: Implementation by an extended prolog compiler
inferredcites →https://doi.org/10.1007/bf03037324openalex-snapshot
The occur-check problem in Prolog
inferredcites →https://doi.org/10.1016/0004-3702(85)90084-0openalex-snapshot
Depth-first iterative-deepening
inferredcites →https://doi.org/10.1016/0304-3975(85)90144-6openalex-snapshot
The intractability of resolution
inferredcites →https://doi.org/10.1016/s0747-7171(85)80027-4openalex-snapshot
Properties of substitutions and unifications
inferredcites →https://doi.org/10.1016/s0747-7171(85)80034-1openalex-snapshot
Automated Inferencing
inferredcites →https://doi.org/10.1017/s0269888900004641openalex-snapshot
Automated theorem proving (second revised edition) by Wolfgang Bibel, Vieweg1987.
inferredcites →https://doi.org/10.1109/mex.1987.4307074openalex-snapshot
The Art of Prolog
inferredcites →https://doi.org/10.1109/tc.1976.1674697openalex-snapshot
Resolution, Refinements, and Search Strategies: A Comparative Study
inferredcites →https://doi.org/10.1145/321250.321253openalex-snapshot
A Machine-Oriented Logic Based on the Resolution Principle
inferredcites →https://doi.org/10.1145/321796.321807openalex-snapshot
An Implementation of the Model Elimination Proof Procedure
inferredcites →https://doi.org/10.2307/2274625openalex-snapshot
Larry Wos. Automated reasoning: 33 basic research problems. Prentice Hall, Englewood Cliffs, N.J., 1988, xiii + 319 pp.
inferredcites →https://doi.org/10.5555/96346.96352openalex-snapshot
Short proofs of the pigeonhole formulas based on the connection method

What points at this work

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

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Über die Computerchemie
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On the Modelling of Search in Theorem Proving— Towards a Theory of Strategy Analysis
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A Uniform Procedure for Converting Matrix Proofs into Sequent-Style Systems
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Controlled Use of Clausal Lemmas in Connection Tableau Calculi
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System Description: PTTP+GLiDeS Semantically Guided PTTP
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A Tableau-Like Representation Framework for Efficient Proof Reconstruction
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The Space Efficiency of OSHL
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Clausal Connection-Based Theorem Proving in Intuitionistic First-Order Logic
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Connection Tableaux with Lazy Paramodulation
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Research Perspectives for Logic and Deduction
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Directed Automated Theorem Proving
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Exploiting Conditional Equivalences in Connection Calculi
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Synthesizing Certified Code
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DCTP 1.2 — System Abstract
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Algorithms, Datastructures, and other Issues in Efficient Automated Deduction
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DCTP - A Disconnection Calculus Theorem Prover - System Abstract
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lolliCoP — A Linear Logic Implementation of a Lean Connection-Method Theorem Prover for First-Order Classical Logic
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Towards Semantic Goal-Directed Forward Reasoning in Resolution
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A Taxonomy of Theorem-Proving Strategies
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A Confluent Connection Calculus
inferred← citeshttps://doi.org/10.1007/3-540-48683-6_45openalex-snapshot
PIL/SETHEO: A Tool for the Automatic Analysis of Authentication Protocols
inferred← citeshttps://doi.org/10.1007/3-540-48747-6_9openalex-snapshot
Avoiding Non-Ground Variables
inferred← citeshttps://doi.org/10.1007/3-540-49674-2_1openalex-snapshot
A Multi-level Approach to Program Synthesis
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The LILOG inference engine
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Performance of competitive OR-parallelism
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Connectionist inference systems
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Random competition: A simple, but efficient method for parallelizing inference systems
inferred← citeshttps://doi.org/10.1007/3-540-55602-8_168openalex-snapshot
Caching and lemmaizing in model elimination theorem provers
inferred← citeshttps://doi.org/10.1007/3-540-55602-8_215openalex-snapshot
KPROP — An AND-parallel theorem prover for propositional logic implemented in KL1 system abstract
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Knowledge selection in large knowledge bases
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Search space pruning by checking dynamic term growth
inferred← citeshttps://doi.org/10.1007/3-540-56944-8_55openalex-snapshot
Refinements and extensions of model elimination
inferred← citeshttps://doi.org/10.1007/3-540-56944-8_64openalex-snapshot
A comparison of mechanisms for avoiding repetition of subdeductions in chain format linear deduction systems
inferred← citeshttps://doi.org/10.1007/3-540-57307-0_25openalex-snapshot
Optimal Multiprogramming Control for Parallel Computations
inferred← citeshttps://doi.org/10.1007/3-540-57785-8_163openalex-snapshot
Optimal parallelization of Las Vegas algorithms
inferred← citeshttps://doi.org/10.1007/3-540-57802-1_8openalex-snapshot
Theory reasoning in first order calculi
inferred← citeshttps://doi.org/10.1007/3-540-58156-1_16openalex-snapshot
Detecting non-provable goals
inferred← citeshttps://doi.org/10.1007/3-540-58156-1_18openalex-snapshot
The TPTP problem library
inferred← citeshttps://doi.org/10.1007/3-540-58156-1_51openalex-snapshot
Semantic tableaux with ordering restrictions
inferred← citeshttps://doi.org/10.1007/3-540-58156-1_57openalex-snapshot
Protein: A PROver with a Theory Extension INterface
inferred← citeshttps://doi.org/10.1007/3-540-58156-1_58openalex-snapshot
DELTA — A bottom-up preprocessor for top-down theorem provers
inferred← citeshttps://doi.org/10.1007/3-540-58156-1_59openalex-snapshot
SETHEO V3.2: Recent developments
inferred← citeshttps://doi.org/10.1007/3-540-58156-1_60openalex-snapshot
KoMeT
inferred← citeshttps://doi.org/10.1007/3-540-58156-1_7openalex-snapshot
Model elimination without contrapositives
inferred← citeshttps://doi.org/10.1007/3-540-58184-7_165openalex-snapshot
Analysing the load balancing scheme of a parallel system on multiprocessors — A modeling approach —
inferred← citeshttps://doi.org/10.1007/3-540-58216-9_37openalex-snapshot
Towards efficient calculi for resource-oriented deductive planning
inferred← citeshttps://doi.org/10.1007/3-540-59338-1_24openalex-snapshot
Issues in theorem proving based on the connection method
inferred← citeshttps://doi.org/10.1007/3-540-59338-1_28openalex-snapshot
Using connection method in modal logics: Some advantages
inferred← citeshttps://doi.org/10.1007/3-540-59338-1_31openalex-snapshot
On transforming intuitionistic matrix proofs into standard-sequent proofs
inferred← citeshttps://doi.org/10.1007/3-540-59338-1_32openalex-snapshot
A connection based proof method for intuitionistic logic
inferred← citeshttps://doi.org/10.1007/3-540-59338-1_35openalex-snapshot
Link deletion in model elimination
inferred← citeshttps://doi.org/10.1007/3-540-59338-1_37openalex-snapshot
Constraint model elimination and a PTTP-implementation
inferred← citeshttps://doi.org/10.1007/3-540-59338-1_46openalex-snapshot
Using the theorem prover SETHEO for verifying the development of a communication protocol in FOCUS -A Case Study-
inferred← citeshttps://doi.org/10.1007/3-540-60045-0_41openalex-snapshot
CAVEAT: technique and tool for computer aided verification and transformation
inferred← citeshttps://doi.org/10.1007/3-540-60939-3_10openalex-snapshot
Guiding program development systems by a connection based proof strategy
inferred← citeshttps://doi.org/10.1007/3-540-61208-4_13openalex-snapshot
Situational Calculus, linear connection proofs and STRIPS-like planning: An experimental comparison
inferred← citeshttps://doi.org/10.1007/3-540-61208-4_16openalex-snapshot
T-string unification: Unifying prefixes in non-classical proof methods
inferred← citeshttps://doi.org/10.1007/3-540-61377-3_31openalex-snapshot
Deduction by combining semantic tableaux and integer programming
inferred← citeshttps://doi.org/10.1007/3-540-61377-3_34openalex-snapshot
Representing unification in a logical framework
inferred← citeshttps://doi.org/10.1007/3-540-61511-3_104openalex-snapshot
Converting non-classical matrix proofs into sequent-style systems
inferred← citeshttps://doi.org/10.1007/3-540-61511-3_87openalex-snapshot
SiCoTHEO: Simple competitive parallel theorem provers
inferred← citeshttps://doi.org/10.1007/3-540-61511-3_97openalex-snapshot
Optimizing proof search in model elimination
inferred← citeshttps://doi.org/10.1007/3-540-61697-7_1openalex-snapshot
Problem-oriented applications of automated theorem proving
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A uniform proof procedure for classical and non-classical logics
inferred← citeshttps://doi.org/10.1007/3-540-63104-6_12openalex-snapshot
Automatic verification of cryptographic protocols with SETHEO
inferred← citeshttps://doi.org/10.1007/3-540-63104-6_8openalex-snapshot
ILF-SETHEO
inferred← citeshttps://doi.org/10.1007/3-540-63104-6_9openalex-snapshot
SETHEO goes software engineering: Application of ATP to software reuse
inferred← citeshttps://doi.org/10.1007/3-540-63385-5_45openalex-snapshot
Restart tableaux with selection function
inferred← citeshttps://doi.org/10.1007/3-540-69778-0_27openalex-snapshot
Deleting Redundancy in Proof Reconstruction
inferred← citeshttps://doi.org/10.1007/3540617795_15openalex-snapshot
SPTHEO — A PVM-based parallel theorem prover
inferred← citeshttps://doi.org/10.1007/978-0-85729-299-5_3openalex-snapshot
First-order Predicate Logic
inferred← citeshttps://doi.org/10.1007/978-1-4471-3234-9_3openalex-snapshot
Reachability Analysis for the Extension Procedure — A Topological Result —
inferred← citeshttps://doi.org/10.1007/978-3-030-20652-9_9openalex-snapshot
Automated Backend Selection for ProB Using Deep Learning
inferred← citeshttps://doi.org/10.1007/978-3-030-49424-7_13openalex-snapshot
From Schütte’s Formal Systems to Modern Automated Deduction
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Learning from Łukasiewicz and Meredith: Investigations into Proof Structures
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Vampire Getting Noisy: Will Random Bits Help Conquer Chaos? (System Description)
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Range-Restricted and Horn Interpolation through Clausal Tableaux
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Lemmas: Generation, Selection, Application
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Synthesizing Strongly Equivalent Logic Programs: Beth Definability for Answer Set Programs via Craig Interpolation in First-Order Logic
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Finding Connections via Satisfiability Solving
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Advances in Connection-Based Automated Theorem Proving
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Parallel Theorem Proving
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A Decision Procedure for Equality Logic with Uninterpreted Functions
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Bridging Theorem Proving and Mathematical Knowledge Retrieval
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Universal Variables in Disconnection Tableaux
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leanCoP 2.0 and ileanCoP 1.2: High Performance Lean Theorem Proving in Classical and Intuitionistic Logic (System Descriptions)
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Early History and Perspectives of Automated Deduction
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Specifying and Verifying Organizational Security Properties in First-Order Logic
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Machine Learning Approach to Enhance the Design of Automated Theorem Provers
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A Generalized Factorization Rule Based on the Introduction of Skolem Terms
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P A R T H E O: A Parallel Inference Machine
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HEUROPA Heuristic Optimization of Parallel Computations
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Prädikatenlogik erster Stufe
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Prädikatenlogik erster Stufe
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Answers for disjunctive logic programs
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Applications
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On Robotics Scenarios and Modeling with Fibered Structures
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Prädikatenlogik erster Stufe
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Natural Language Presentation and Combination of Automatically Generated Proofs
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Model-Guided Proof Planning
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Properties and Relations of Tableau and Connection Calculi
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Automated Theorem Proving in High-Quality Software Design
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A Connection Calculus for Handling Incomplete Information
inferred← citeshttps://doi.org/10.1007/978-94-017-0435-9_10openalex-snapshot
Parallel Theorem Provers Based on Setheo
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Integrating Automated and Interactive Theorem Proving
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Lattice-Ordered Groups in Deduction
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Deduction-Based Software Component Retrieval
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Using Automated Theorem Provers in Verification of Protocols
inferred← citeshttps://doi.org/10.1007/978-94-017-1754-0_11openalex-snapshot
A Bibliography on Analytic Tableaux Theorem Proving
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First-Order Tableau Methods
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Linear and unit-resulting refutations for Horn theories
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leanTAP: Lean tableau-based deduction
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A new methodology for query answering in default logics via structure-oriented theorem proving
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METEOR: Exploring model elimination theorem proving
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Controlled integration of the cut rule into connection tableau calculi
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Model elimination without contrapositives and its application to PTTP
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Tableau-based theorem provers: Systems and implementations
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Near-Horn Prolog and the ancestry family of procedures
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Globally linear connection method
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On semantic resolution with lemmaizing and contraction and a formal treatment of caching
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OR-parallel theorem proving with random competition
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A model elimination calculus with built-in theories
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A complete connection calculus with rigid E-unification
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On loop detection in connection calculi
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Computing answers for disjunctive logic programs
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Free variable tableaux for propositional modal logics
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Ordered tableaux: Extensions and applications
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Subgoal alternation in model elimination
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A framework for using knowledge in tableau proofs
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The composition heuristic
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System description: similarity-based lemma generation for model elimination
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Using matings for pruning connection tableaux
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Exploiting parallelism in interactive theorem provers
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Acquisition of useful lemma-knowledge in automated reasoning
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Octopus: Combining Learning and Parallel Search
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Connection Tableaux with Lazy Paramodulation
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Mark Stickel: His Earliest Work
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Machine Learning Guidance for Connection Tableaux
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Craig Interpolation with Clausal First-Order Tableaux
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Set of Support, Demodulation, Paramodulation: A Historical Perspective
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Investigations into Proof Structures
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Letter to the editor
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A precondition prover for analogy
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A Prolog technology theorem prover: a new exposition and implementation in Prolog
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Logic programming as a basis for lean automated deduction
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Parallel Automated Theorem Proving
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Scalability of an OR-parallel Theorem Prover — A Modelling Approach —
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Tableaux and Related Methods
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Term Indexing
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Model Elimination and Connection Tableau Procedures
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Theorema: Towards computer-aided mathematical theory exploration
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Towards a unified model of search in theorem-proving: subgoal-reduction strategies
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Evaluating general purpose automated theorem proving systems
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Computing answers with model elimination
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Clause trees: a tool for understanding and implementing resolution in automated reasoning
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Non-Horn clause logic programming
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An automatic proof of Gödel's incompleteness theorem
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Let's plan it deductively!
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Prolog technology for default reasoning: proof theory and compilation techniques
inferred← citeshttps://doi.org/10.1016/s0004-3702(99)00076-4openalex-snapshot
Knowledge-based proof planning
inferred← citeshttps://doi.org/10.1016/s0377-2217(98)00225-2openalex-snapshot
Towards the qualitative, plan-based simulation of international crises
inferred← citeshttps://doi.org/10.1016/s0747-7171(03)00037-3openalex-snapshot
leanCoP: lean connection-based theorem proving
inferred← citeshttps://doi.org/10.1016/s0923-0459(97)80012-2openalex-snapshot
SiCoTHEO—Simple competitive parallel theorem provers based on SETHEO
inferred← citeshttps://doi.org/10.1023/a:1005711712356openalex-snapshot
Fast Subsumption Checks Using Anti-Links
inferred← citeshttps://doi.org/10.1023/a:1005770705587openalex-snapshot
The Use of Lemmas in the Model Elimination Procedure
inferred← citeshttps://doi.org/10.1023/a:1005806324129openalex-snapshot
The TPTP Problem Library
inferred← citeshttps://doi.org/10.1023/a:1005808119103openalex-snapshot
SETHEO and E-SETHEO - The CADE-13 Systems
inferred← citeshttps://doi.org/10.1023/a:1005812703468openalex-snapshot
A Disjunctive Positive Refinement of Model Elimination and its Application to Subsumption Deletion
inferred← citeshttps://doi.org/10.1023/a:1005885725562openalex-snapshot
Nagging: A Distributed, Adversarial Search-Pruning Technique Applied to First-Order Inference
inferred← citeshttps://doi.org/10.1023/a:1006006930186openalex-snapshot
The CADE-14 ATP System Competition
inferred← citeshttps://doi.org/10.1023/a:1006127022180openalex-snapshot
SPS-Parallelism + SETHEO = SPTHEO
inferred← citeshttps://doi.org/10.1023/a:1013886427723openalex-snapshot
Free-Variable Tableaux for Propositional Modal Logics
inferred← citeshttps://doi.org/10.1023/a:1018932114059openalex-snapshot
A taxonomy of parallel strategies for deduction
inferred← citeshttps://doi.org/10.1023/a:1018976510663openalex-snapshot
Heuristics used by HERBY for semantic tree theorem proving
inferred← citeshttps://doi.org/10.1080/00207169608804524openalex-snapshot
The practicality of generating semantic trees for proofs of unsatisfiability
inferred← citeshttps://doi.org/10.1093/logcom/6.6.819openalex-snapshot
A-ordered tableaux
inferred← citeshttps://doi.org/10.1109/72.712151openalex-snapshot
A general framework for adaptive processing of data structures
inferred← citeshttps://doi.org/10.1109/ase.1997.632845openalex-snapshot
NORA/HAMMR: making deduction-based software component retrieval practical
inferred← citeshttps://doi.org/10.1109/csmr.1998.665799openalex-snapshot
DBFW: a simple database framework for the evaluation and maintenance of automated theorem prover data
inferred← citeshttps://doi.org/10.1109/ecows.2006.15openalex-snapshot
Enhanced Specifications for Web Service Composition
inferred← citeshttps://doi.org/10.1109/kbse.1991.638029openalex-snapshot
A Knowledge And Deduction Based Software Retrieval Tool
inferred← citeshttps://doi.org/10.1109/kst.2015.7051467openalex-snapshot
Incorporating logic in Artificial Bee Colony (ABC) algorithm to solve first order logic problems: The logical ABC
inferred← citeshttps://doi.org/10.1109/tai.1999.809835openalex-snapshot
Neurules: improving the performance of symbolic rules
inferred← citeshttps://doi.org/10.1142/s0218001499000136openalex-snapshot
STRATEGY PARALLELISM IN AUTOMATED THEOREM PROVING
inferred← citeshttps://doi.org/10.1142/s0218213000000094openalex-snapshot
NEURULES: IMPROVING THE PERFORMANCE OF SYMBOLIC RULES
inferred← citeshttps://doi.org/10.1142/s0218213001000477openalex-snapshot
AN AUTOMATED THEOREM PROVER BASED ON CONNECTION TABLEAU CALCULI WITH DISJUNCTIVE CONSTRAINTS
inferred← citeshttps://doi.org/10.1145/133057.133158openalex-snapshot
Performance analysis of a parallel theorem prover
inferred← citeshttps://doi.org/10.1145/2815782.2815823openalex-snapshot
Evaluating Resolution-Based Reasoning Heuristics for Connection Tableau
inferred← citeshttps://doi.org/10.1147/rd.366.0965openalex-snapshot
Knowledge in operation
inferred← citeshttps://doi.org/10.1177/30504554261463374openalex-snapshot
The CADE-30 Automated Theorem Proving System Competition—CASC-30
inferred← citeshttps://doi.org/10.1515/9783111386690-009openalex-snapshot
1857 Automatische Inferenz
inferred← citeshttps://doi.org/10.1515/9783111386690-029openalex-snapshot
76924 Geschichte der KI
inferred← citeshttps://doi.org/10.1561/9781680838992openalex-snapshot
Machine Learning for Automated Theorem Proving: Learning to Solve SAT and QSAT
inferred← citeshttps://doi.org/10.1613/jair.573openalex-snapshot
Cooperation between Top-Down and Bottom-Up Theorem Provers
inferred← citeshttps://doi.org/10.22028/d291-26394openalex-snapshot
Assertion level proof planning with compiled strategies
inferred← citeshttps://doi.org/10.2514/6.2026-0564openalex-snapshot
Autonomous Spacecraft Health Management: Results From IM-2 Lunar Mission
inferred← citeshttps://doi.org/10.25560/5591openalex-snapshot
A global workspace framework for combined reasoning
inferred← citeshttps://doi.org/10.3217/jucs-005-03-0088openalex-snapshot
Connection-Based Theorem Proving in Classical and Non-Classical Logics
inferred← citeshttps://doi.org/10.3233/aic-2010-0464openalex-snapshot
Restricting backtracking in connection calculi
inferred← citeshttps://doi.org/10.4204/eptcs.325.40openalex-snapshot
A Low-Level Index for Distributed Logic Programming
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