منابع مشابه
Proof-Theoretic Soundness and Completeness
We give a calculus for reasoning about the first-order fragment of classical logic that is adequate for giving the truth conditions of intuitionistic Kripke frames, and outline a proof-theoretic soundness and completeness proof, which we believe is conducive to automation. 1 A Semantic Calculus for Intuitionistic Kripke Models In Rothenberg (2010), we use correspondence theory (Blackburn et al....
متن کاملImporting Logics: Soundness and Completeness Preservation
Importing subsumes several asymmetric ways of combining logics, including modalization and temporalization. A calculus is provided for importing, inheriting the axioms and rules from the given logics and including additional rules for lifting derivations from the imported logic. The calculus is shown to be sound and concretely complete with respect to the semantics of importing as proposed in [...
متن کاملASPAL. Proof of soundness and completeness
We provide here a brief introduction and proof of soundness and completeness of the ILP system ASPAL. This document is in support of our ICLP 2011 submission, for the reviewers’ benefits. Inductive Logic Programming (ILP) [4] is a machine learning technique concerned with the induction of logic theories, called target theories, that generalise (positive and negative) examples with respect to a ...
متن کاملSoundness and Completeness versus Lifting Property 1
We give new formulations of the property of soundness and completeness of a resolution system and of the lifting lemma, and we discuss their relationship. The discussion points out why certain resolution systems are not complete, and that there is a simple method for showing that a resolution system is \absolutely incomplete" { that there is no notion of program completion and no logic which co...
متن کاملOn Completeness and Soundness in Interactive Proof Systems
{ An interactive proof system with Perfect Completeness (resp. Perfect Soundness) for a language L is an interactive proof (for L) in which for every x 2 L (resp. x 6 2 L) the veriier always accepts (resp. always rejects). We show that any language having an interactive proof system has one (of the Arthur-Merlin type) with perfect completeness. On the other hand, only languages in NP have inter...
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ژورنال
عنوان ژورنال: The Bulletin of Symbolic Logic
سال: 2014
ISSN: 1079-8986,1943-5894
DOI: 10.1017/bsl.2013.4