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Proof Transformation with Built-in Equality Predicate [PDF]
, 2023 One of the main reasons why computer generated proofs are not widely accepted is often their complexity and incomprehensibility. Especially proofs of mathematical theorems with equations are normally presented in an inadequate and not intuitive way.
Lingenfelder, Christoph +1 more
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Interpolation in superintuitionistic predicate logics with equality
Algebra and Logic, 1997Summary: It is shown that the Craig interpolation property and the Beth property are preserved under passage from a superintuitionistic predicate logic to its extension via standard axioms for equality, and under adding formulas of pure equality as new axioms.
Maksimova L L
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A method of epsilon substitution for the predicate logic with equality
Journal of Mathematical Sciences, 1997The method of epsilon substitution for arithmetic proposed by Hilbert proceeds by a series of finite approximations ``from below'' to a solution of a fixed system of critical formulas. Ackermann applied the method also to the first order predicate logic with equality and extensionality formalized in terms of the epsilon symbol, which however proceeds ``
G E Mints
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Equality and Predicate Abstraction
Synthese Library, 2023Melvin Fitting +2 more
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Experiments with a heuristic theorem-proving program for predicate calculus with equality
Artificial Intelligence, 1971Abstract A new theorem-proving program to solve problems expressed in the first-order predicate calculus with equality has been implemented and extensively tested. The basic algorithm employs resolution and paramodulation as its rules of inference, and uses set-of-support and input strategies.
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Normal Form for Deductions in Predicate Calculus with Equality and Functional Symbols
1969It is known how useful an apparatus the G. Gentzen [1] fundamental theorem turns out to be in investigations concerning predicate calculus. The plan of a finite proof of the possibility of extending the fundamental theorem to predicate calculus with equality and functional symbols is proposed herein.
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Chapter 3 Predicate Calculus with Equality
Studies in Logic and the Foundations of Mathematics, 1967exaly +2 more sources