Towards Proof Planning for ω+
Carsten Schürmann, Serge Autexier
Abstract
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Carsten Schürmann, Serge Autexier
Abstract
Open-access reader
This paper describes the proof planning system P ω+ for the meta theorem prover for LF implemented in Twelf. The main contributions include a formal system that approximates the flow of information between assumptions and goals within a meta proof, a set of inference rules to reason about those approximations, and a soundness proof that guarantees that the proof planner does not reject promising proof states. Proof planning in P ω+ is decidable.
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This paper describes the proof planning system P ω+ for the meta theorem prover for LF implemented in Twelf. The main contributions include a formal system that approximates the flow of information between assumptions and goals within a meta proof, a set of inference rules to reason about those approximations, and a soundness proof that guarantees that the proof planner does not reject promising proof states. Proof planning in P ω+ is decidable.
Key concepts: Soundness, Structural proof theory, Computer-assisted proof, Proof of concept, Proof complexity, Proof theory, Analytic proof, Automated theorem proving