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Deductive reasoning

WIREs Cognitive Science, 1999
AbstractThis article begins with an account of logic, and of how logicians formulate formal rules of inference for the sentential calculus, which hinges on analogs of negation and the connectivesif, or, andand. It considers the various ways in which computer scientists have written programs to prove the validity of inferences in this and other domains.
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Deductive Completeness

Bulletin of Symbolic Logic, 1996
AbstractThis is an exposition of Lambek's strengthening and generalization of the deduction theorem in categories related to intuitionistic propositional logic. Essential notions of category theory are introduced so as to yield a simple reformulation of Lambek's Functional Completeness Theorem, from which its main consequences can be readily drawn. The
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Models of Deduction*

Synthese, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Discovery and Deduction

2000
Deduction is usually considered to be the opposite of induction. However, deduction and induction can be related in many ways. In this paper, two endeavors that try to relate discovery science and verification technology are described. The first is discovery by deduction, where attempts to find algorithms are made using verifiers.
Masami Hagiya, Koichi Takahashi
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The Content of Deduction

Journal of Philosophical Logic, 2012
For deductive reasoning to be justified, it must be guaranteed to preserve truth from premises to conclusion; and for it to be useful to us, it must be capable of informing us of something. How can we capture this notion of information content, whilst respecting the fact that the content of the premises, if true, already secures the truth of the ...
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Deduction and deductive databases for geographic data handling

1993
The representation of complex spatial domains in conventional databases suffers from fragmented representation of object structure, lack of instance-level spatial relationships, and the generation of large combinatoric search spaces in query analysis.
Alia I. Abdelmoty   +2 more
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Deductive closure

Synthese, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hierarchical deduction

Journal of Automated Reasoning, 1987
The main contribution of the paper is the goal-oriented hierarchical deduction proof procedure. The procedure proves a theorem by producing not just one but all the acceptable resolvents from the goal clause. There is a set of completeness-preserving refinements to constrain the generation of the irrelevant resolvents.
Tie-Cheng Wang, W. W. Bledsoe
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Novelty in deductive databases

Journal of Logic and Computation, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grégoire, Éric, Marquis, Pierre
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Abduction is not Deduction-in-Reverse

Logic Journal of IGPL, 1996
Summary: Abduction is a topic that attracts much interest in AI and automated reasoning research. Different approaches have been devised, that give a formalized account of explanatory reasoning, propose methods to compute explanations, frame abduction in the context of logic programming.
Marta Cialdea Mayer   +1 more
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