Cover Image

Special relations of logical consequence in logics of quasi-ary predicates

We introduce and study X–Y-valued relations of logical consequence for first-order composition-nominative logics of partial single-valued, total multiple-valued and partial multiple-valued predicates. A number of properties of the defined relations is obtained, particularly the properties of quantif...

Full description

Saved in:

Bibliographic Details
Date:	2025
Main Author:	Shkilniak, S.S.
Format:	Article
Language:	Ukrainian
Published:	PROBLEMS IN PROGRAMMING 2025
Subjects:	UDC 004.42:510.69
Online Access:	https://pp.isofts.kiev.ua/index.php/ojs1/article/view/824
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Problems in programming
Download file:

Institution

Problems in programming

Similar Items

Logical consequence relations in logics of monotone predicates and logics of antitone predicates
by: Shkilniak, O.S.
Published: (2018)

First-order composition-nominative logics with generalized renominations
by: Nikitchenko, M.S., et al.
Published: (2025)

Logical consequence relations in logics of quasiary predicates
by: Shkilniak, O.S.
Published: (2018)

Spectrum of sequential number pershopordinal compositional-nominative logics
by: Shkilnyak, S.S.
Published: (2025)

Relations of logical consequence in logics of partial predicates with composition of predicate complement
by: Shkilniak, O.S.
Published: (2019)

Pure first-order logics of quasiary predicates
by: Nikitchenko, M.S., et al.
Published: (2018)

First-order composition-nominative logics with predicates of weak equality and of strong equality
by: Shkilniak, S.S.
Published: (2019)

Pure first-order quasiary logics with equality predicates
by: Nikitchenko, M.S., et al.
Published: (2018)

Propositional logics of partial predicates with composition of predicate complement
by: Nikitchenko, M.S., et al.
Published: (2019)

Logics of general non-deterministic predicates: semantic aspects
by: Nikitchenko, M.S., et al.
Published: (2018)

Sequent calculi of first-order logics of partial predicates with extended renominations and composition of predicate complement
by: Nikitchenko, M.S., et al.
Published: (2020)

Composition nominative modal logics of partial non-monotone predicates and their calculi
by: Shkilniak, O.S., et al.
Published: (2018)

Sequent calculi of composition nominative modal logics of functional-equational level
by: Shkilnyak, O.S.
Published: (2025)

Algebras of general non-deterministic predicates
by: Nikitchenko, M.S., et al.
Published: (2018)

Composition-nominative logics of free-quantifier levels
by: Shkilniak, S.S., et al.
Published: (2018)

First-order logics with partial predicates for checking variable definedness
by: Shkilniak, S.S.
Published: (2025)

Algebras of quasiary and of bi-quasiary relations
by: Nikitchenko, M.S., et al.
Published: (2018)

Deviant truth-values algebras and deviant classes of general non-deterministic predicates 14 Software environment and tools
by: Shkilniak, O.S.
Published: (2019)

Properties of Logical Consequence Relations in Logics of Quasi-Ary Predicates
by: S. S. Shkilniak
Published: (2013)

Semantic properties of five-valued logics
by: Nikitchenko, M.S., et al.
Published: (2018)

Development of Web-prototype for analysis of statements in social network Twitter
by: Glybovets, A.M., et al.
Published: (2019)

Сoordinated description of algorithms within the framework of algebraic vehicle
by: Akulovskiy, V.G., et al.
Published: (2025)

Algebra for the description of data in the composite schemes of algorithms
by: Akulovskiy, V.G.
Published: (2015)

Logical consequence relations in logics of monotone predicates and logics of antitone predicates
by: O. S. Shkilniak
Published: (2017)

Sequent calculi for first-order logics of single-valued quasi-ary predicates
by: Shkilniak, S.S.
Published: (2018)

Logical consequence relations in logics of quasiary predicates
by: O. S. Shkilniak
Published: (2016)

Relations of logical consequence in logics of partial predicates with composition of predicate complement
by: O. S. Shkilniak
Published: (2019)

Compositional logics of nominative data
by: Nikitchenko, M.S., et al.
Published: (2015)

First-order sequent calculi of logics of quasiary predicates with extended renominations and equality
by: Shkilniak, О.S., et al.
Published: (2023)

Modal logics of partial quasiary pradicates with equality and sequent calculi of this logics
by: Shkilniak, О.S., et al.
Published: (2024)

Logics with quasiary and N-ary predicates: semantic and syntastic aspects
by: M. S. Nikitchenko, et al.
Published: (2016)

Logical view for construction-synthesis model of data structures
by: Shynkarenko, V.I., et al.
Published: (2025)

Relations of logical consequence in composition nominative logics
by: Shkilnyak, S.S.
Published: (2025)

7-values logics and logics of general non-deterministic predicates
by: M. S. Nikitchenko, et al.
Published: (2018)

Logics of quasiary predicates of quantifier-equational level
by: Nikitchenko, M.S., et al.
Published: (2015)

Renominative logics of quasiary predicates
by: S. S. Shkilniak, et al.
Published: (2016)

Propositional logics of partial predicates with composition of predicate com-plement
by: M. S. Nikitchenko, et al.
Published: (2019)

Algebras and logics of partial quasiary predicates
by: M. Nikitchenko, et al.
Published: (2017)

Algebras and logics of partial quasiary predicates
by: Nikitchenko, M., et al.
Published: (2017)

Pure first-order logics of quasiary predicates
by: M. S. Nikitchenko, et al.
Published: (2016)