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EnglishProof reconstruction is the operation of extracting the computed proof from the trace of a theorem-proving run. We study the problem of proof reconstruction in distributed theorem proving: because of the distributed nature of the derivation and especially because of deletions of clauses by contraction, it may happen that a deductive process generates the empty clause, but does not have all the necessary information to reconstruct the proof. We analyze this problem and we present a method for distributed theorem proving, called Modified Clause-Diffusion, which guarantees that the deductive process that generates the empty clause will be able to reconstruct the distributed proof. This result is obtained without imposing a centralized control on the deductive processes or resorting to a round of post-processing with ad hoc communication. We prove that Modified Clause-Diffusion is fair (hence complete) and guarantees proof reconstruction. First we define a set of conditions, next we prove that they are sufficient for proof reconstruction, then we show that Modified Clause-Diffusion satisfies them. Fairness is proved in the same way, which has the advantage that the sufficient conditions provide a treatment of the problem relevant for distributed theorem proving in general.
| Titolo: | On the reconstruction of proofs in distributed theorem proving: a modified Clause-Diffusion method |
| Autori: | BONACINA, Maria Paola (Corresponding) |
| Data di pubblicazione: | 1996 |
| Rivista: | |
| Handle: | http://hdl.handle.net/11562/300539 |
| Appare nelle tipologie: | 01.01 Articolo in Rivista |
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http://hdl.handle.net/11562/300539
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