TYPE-QUANTIFIER CALCULUS OF POSITIVELY-FORMED FORMULAS WITH NEGATIONS

Type quantifier language and calculus as logical positively-constructed means of knowledge representation and automation of deductive inference have been developed. In them, the type conditions of quantifiers can contain negations, and the calculus has completeness with respect to derivability in the classical predicate calculus.

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Publication Details

Journal
Доклады Российской академии наук Математика информатика процессы управления / Doklady Mathematics
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034504925030031
Primary Topic
Advanced Algebra and Logic
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article
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article

TYPE-QUANTIFIER CALCULUS OF POSITIVELY-FORMED FORMULAS WITH NEGATIONS

S. N. Vassilyev
Доклады Российской академии наук Математика информатика процессы управления / Doklady Mathematics
Advanced Algebra and Logic
article

TYPE-QUANTIFIER CALCULUS OF POSITIVELY-FORMED FORMULAS WITH NEGATIONS

S. N. Vassilyev
article en

Abstract

Type quantifier language and calculus as logical positively-constructed means of knowledge representation and automation of deductive inference have been developed. In them, the type conditions of quantifiers can contain negations, and the calculus has completeness with respect to derivability in the classical predicate calculus.

Доклады Российской академии наук Математика информатика процессы управления / Doklady MathematicsVol. 523(1)
Openalex Percentile: Top 73%
Advanced Algebra and Logic
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TYPE-QUANTIFIER CALCULUS OF POSITIVELY-FORMED FORMULAS WITH NEGATIONS — S. N. Vassilyev · Доклады Российской академии наук Математика информатика процессы управления / Doklady Mathematics (2025) | TGRS Research Map | TGRS