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Hypothetical Logic of Proofs |
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| Authors: | Eduardo Bonelli Gabriela Steren |
| Affiliation: | 1. CONICET, UNQ and ITBA, Roque Sáenz Pe?a 352, Bernal, Buenos Aires, Argentina 2. UBA, Buenos Aires, Argentina |
| Abstract: | The logic of proofs is a refinement of modal logic introduced by Artemov in 1995 in which the modality ?A is revisited as ?t?A where t is an expression that bears witness to the validity of A. It enjoys arithmetical soundness and completeness and is capable of reflecting its own proofs (?A implies ? ?t?A, for some t). We develop the Hypothetical Logic of Proofs, a reformulation of LP based on judgemental reasoning. |
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