Seventy-five problems for testing automatic theorem provers
Journal of Automated Reasoning
On connections and higher-order logic
Journal of Automated Reasoning
Higher-order unification revisited: Complete sets of transformations
Journal of Symbolic Computation
Solving Higher-Order Equations: From Logic to Programming
Solving Higher-Order Equations: From Logic to Programming
Introduction to Mathematical Logic and Type Theory: To Truth through Proof
Introduction to Mathematical Logic and Type Theory: To Truth through Proof
Journal of Automated Reasoning
TABLEAUX '95 Proceedings of the 4th International Workshop on Theorem Proving with Analytic Tableaux and Related Methods
System Description: TPS: A Theorem Proving System for Type Theory
CADE-17 Proceedings of the 17th International Conference on Automated Deduction
System Description: LEO - A Higher-Order Theorem Prover
CADE-15 Proceedings of the 15th International Conference on Automated Deduction: Automated Deduction
Handbook of automated reasoning
Set comprehension in church's type theory
Set comprehension in church's type theory
AI Communications - CASC
Problems and Experiments for and with Automated Theorem-Proving Programs
IEEE Transactions on Computers
Resolution, Refinements, and Search Strategies: A Comparative Study
IEEE Transactions on Computers
THF0 --- The Core of the TPTP Language for Higher-Order Logic
IJCAR '08 Proceedings of the 4th international joint conference on Automated Reasoning
Progress in the Development of Automated Theorem Proving for Higher-Order Logic
CADE-22 Proceedings of the 22nd International Conference on Automated Deduction
Using the TPTP language for writing derivations and finite interpretations
IJCAR'06 Proceedings of the Third international joint conference on Automated Reasoning
Extending the TPTP language to higher-order logic with automated parser generation
IJCAR'06 Proceedings of the Third international joint conference on Automated Reasoning
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We present a set of problems that may support the development of calculi and theorem provers for classical higher-order logic. We propose to employ these test problems as quick and easy criteria preceding the formal soundness and completeness analysis of proof systems under development. Our set of problems is structured according to different technical issues and along different notions of semantics (including Henkin semantics) for higher-order logic. Many examples are either theorems or non-theorems depending on the choice of semantics. The examples can thus indicate the deductive strength of a proof system.