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Abstract: This report describes the elimination of the injectivity restriction for functional arithmetical interpretations as used in the systems PF and PFM in the Basic Logic of Proofs. An appropriate axiom system PU in a language with operators "x is a proof of y" is defined and proved to be sound and complete with respect to all arithmetical interpretations based on functional proof predicates. Unification plays a major role in the formulation of the new axioms. (Update)
Context of citations to this paper: More
.... derives all intermediate formulas assigned to the nodes of the proof tree) The logic of strictly deterministic proof systems was studied in [1], 2] and in [15] where it meets a complete axiomatization (system FLP) 3 Realization of modal logic in LP It is easy to see that a...
...that a proof derives all formulas assigned to the nodes of the proof tree. The logic of strictly deterministic proof systems was studied in [2], 3] 27] where it meets a complete axiomatization (system FLP) FLP is not compatible with any modal logic (cf. Comment 6.6) and...
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BibTeX entry: (Update)
S. Artemov and T. Straßen, "Functionality in the Basic Logic of Proofs," Tech. Rep. IAM 93-004, Department for computer science, University of Berne, Switzerland, January 1993. http://citeseer.ist.psu.edu/artemov93functionality.html More
@misc{ artemov93functionality,
author = "S. Artemov and T. Stra{\ss}en",
title = "Functionality in the Basic Logic of Proofs",
text = "S. Artemov and T. Straßen, Functionality in the Basic Logic of Proofs,
Tech. Rep. IAM 93-004, Department for computer science, University of Berne,
Switzerland, January 1993.",
year = "1993",
url = "citeseer.ist.psu.edu/artemov93functionality.html" }
Citations (may not include all citations):166 Unification revisited (context) - Lassez, Maher et al. - 1987 ACM DBLP
2 The Logic of the Godel Proof Predicate (context) - Artemov, StraBetaen - 1993
The graph only includes citing articles where the year of publication is known.
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