A PROLOG technology theorem prover: implementation by an extended PROLOG compiler
Proc. of the 8th international conference on Automated deduction
Fibonacci heaps and their uses in improved network optimization algorithms
Journal of the ACM (JACM)
Logical foundations of artificial intelligence
Logical foundations of artificial intelligence
Linear-space best-first search
Artificial Intelligence
SETHEO: a high-performance theorem prover
Journal of Automated Reasoning
Purely functional data structures
Purely functional data structures
What's decidable about hybrid automata?
Journal of Computer and System Sciences
Using temporal logics to express search control knowledge for planning
Artificial Intelligence
Model checking
Automated complexity analysis based on ordered resolution
Journal of the ACM (JACM)
Enhanced Iterative-Deepening Search
IEEE Transactions on Pattern Analysis and Machine Intelligence
PVS: Combining Specification, Proof Checking, and Model Checking
CAV '96 Proceedings of the 8th International Conference on Computer Aided Verification
Optimizing Proof Search in Model Elimination
CADE-13 Proceedings of the 13th International Conference on Automated Deduction: Automated Deduction
The FF planning system: fast plan generation through heuristic search
Journal of Artificial Intelligence Research
Isabelle/HOL: a proof assistant for higher-order logic
Isabelle/HOL: a proof assistant for higher-order logic
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This paper analyzes the effect of heuristic search algorithms like A* and IDA* to accelerate proof-state based theorem provers. A functional implementation of possibly weighted A* is proposed that extends Dijkstra's single-source shortest-path algorithm. Efficient implementation issues and possible flaws for both A* and IDA* are discussed in detail. Initial results with first and higher order logic examples in Isabelle indicate that directed automated theorem proving is superior to other known general inference mechanisms and that it can enhance other proof techniques like model elimination.