2002Electronic Notes in Theoretical Computer ScienceOpen access

Towards Proof Planning for ω+

Carsten Schürmann, Serge Autexier

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Abstract

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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What this paper is about

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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Available abstract

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

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