PC<sub><</sub>, EPC<sub><</sub>, And The Equality Predicate And Subsumption In Resolution-Based Automatic-Theorem-Proving: The First Four Axioms [PDF]
, 1997 In this paper we show that the standard notions of tautology and subsumption can be naturally generalized, (so that refutation completeness is preserved with respect to the associated deletion), within the context of (a specified set of) modified ...
T. Mackling
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Automatic differentiation of uncertainties: an interval computational differentiation for first and higher derivatives with implementation. [PDF]
PeerJ Comput Sci, 2023 Dawood H, Megahed N.
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An Implementation Kernel for Theorem Proving with Equality Clauses [PDF]
, 1996 We provide a standard abstract architecture around which high-performance theorem provers for full clausal logic with equality can be built. A WAM-like heap structure for storing terms (as DAG's, with structure sharing) and several substitution ...
Robert Nieuwenhuis +2 more
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A Reconstruction of the Non–Identity Argument at Phaedo 74b–c [PDF]
At Phaedo 74b–c an important argument is given for the non–identity of perceptible equals and equality. The argument is usually understood as an application of Leibniz’s Law in which the predicate appears unequal is affirmed of perceptible equals but not
Putzer, Ryan Bitetti
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Translating Ontologies from Predicate-based to Frame-based Languages [PDF]
, 2008 Many popular ontology languages are based on (subsets of) first-order predicate logic, where classes are modeled as unary predicates and properties as binary predicates.
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On Some Applied First-Order Theories which Can Be Represented by Definitions [PDF]
, 2015 In the paper we formulate a sufficient criterion in order for the first order theory with finite set of axioms to be represented by definitions in predicate calculus. We prove the corresponding theorem.
Shalack, Vladimir
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Combining Higher-Order Logic with Set Theory Formalizations. [PDF]
J Autom Reason, 2023 Kaliszyk C, Pąk K.
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, 2013 Equality and identity. Bulletin of Symbolic Logic. 19 (2013) 255-6. (Coauthor: Anthony Ramnauth) Also see https://www.academia.edu/s/a6bf02aaab This article uses ‘equals’ [‘is equal to’] and ‘is’ [‘is identical to’, ‘is one and the same as’] as they are ...
Ramnauth, Anthony, Corcoran, John
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Modelling and verification of post-quantum key encapsulation mechanisms using Maude. [PDF]
PeerJ Comput Sci, 2023 García V +4 more
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Logics and admissible rules of constructive set theories. [PDF]
Philos Trans A Math Phys Eng Sci, 2023 Iemhoff R, Passmann R.
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