Submissions

Author Guidelines

Guideline Policy

The Journal of Global Mathematics and Logical Structures considers manuscripts that are prepared in accordance with internationally accepted standards for ethical scholarly publishing. Authors are strongly encouraged to review and adhere to these standards to ensure the integrity, transparency, and academic quality of their work.

These standards include recommendations for manuscript preparation, authorship criteria, conflict of interest disclosures, and ethical considerations relevant to all types of scholarly publications in mathematics and logical sciences.

General Guidelines of Manuscript Preparation

All manuscripts submitted to the Journal of Global Mathematics and Logical Structures must adhere to the following preparation guidelines to ensure a smooth and ethical review process:

Conflict of Interest Form: Every submission must include a completed Conflict of Interest Declaration. Authors are required to fill out this form and upload it as part of their submission files.

Blinded Manuscript: The main manuscript file must be anonymized by removing all identifiable information, including author names, institutional affiliations, and contact details, to maintain the integrity of the double-blind peer review process.

Title Page: A separate title page must be submitted containing the complete details of all contributing authors, including their full names, institutional affiliations, email addresses, and any declarations or acknowledgments. A covering letter should also be included in this document.

Author Metadata: Accurate metadata for all authors (names, ORCID IDs, affiliations, and emails) must be provided at the time of submission through the journal’s online system.

Supplementary Documents: Authors must upload any relevant supporting documents as supplementary files. These may include:

• Authorship Declaration Form
• Consent to Publication Form (if applicable)
• Institutional Review Board (IRB) Approval Certificate (if applicable)
• Permissions for copyrighted material (if any)

Adherence to these guidelines is mandatory for manuscript consideration. Submissions not complying with these requirements may be returned for corrections prior to review.

Downloads

1. Instructions to the Authors
2. Authorship Declaration Form
3. Consent to Publish Form

Title Page

• Reporting Guidelines
• Reporting Guidelines
• The Journal of Global Mathematics and Logical Structures strongly encourages authors to adhere to established reporting guidelines appropriate to the type of research being submitted. These guidelines help ensure transparency, completeness, and reproducibility of scholarly work.
• Authors are expected to consult and follow the relevant reporting standards for their manuscript type, including but not limited to:
• CONSORT – for randomized controlled trials
• STROBE – for observational studies
• PRISMA – for systematic reviews and meta-analyses
• STARD – for studies of diagnostic accuracy
• CARE – for case reports
• Authors should download and complete the appropriate checklist corresponding to their study type and submit it along with the manuscript as a supplementary file during the submission process.

Following these guidelines enhances the quality and reliability of published research and aligns with international best practices in scholarly publishing.

Manuscript Preparation

Manuscripts submitted to the Journal of Global Mathematics and Logical Structures must be accompanied by a separate title page.

Title Page

The Title Page contains essential information about the manuscript and the contributing authors. It must be submitted as a separate file and must not be merged with the main manuscript. This ensures the integrity of the double-blind peer-review process.

The Title Page must include the following:

Article Title

A concise and informative title that accurately reflects the mathematical or logical content of the manuscript.

Author Information

Include the full names of all authors along with:

Department(s) and institutional affiliation(s)

Email address of each author

ORCID ID (optional but recommended)

Clearly identify the Corresponding Author with an asterisk (*) and provide a complete mailing address for correspondence.

Disclaimers (if any)

For example:
“The views expressed in this article are those of the authors and do not necessarily reflect the official policy or position of their affiliated institutions.”

Sources of Support

List any financial support such as grants, funding agencies, institutional support, computational resources, or materials provided for the research.

Acknowledgments

Mention individuals, organizations, or agencies who contributed to the work but do not qualify for authorship.

Consent to Publication

Include the following statement if applicable:
“Author(s) declared taking informed written consent for the publication of any identifiable material (if used), with an understanding that every effort will be made to conceal identity; however, anonymity cannot be guaranteed.”
The consent form must be submitted as a supplementary file.

IRB Approval Status and Number

Required for original research articles involving human or animal subjects, if applicable.

Trial Registration Number

Required for randomized controlled trials (RCTs), if applicable.

Word Count

Provide the word count of the manuscript’s main text, excluding abstract, references, tables, and figures.

Number of Figures and Tables
Covering Letter

A brief letter addressed to the Editor-in-Chief outlining the significance of the work, its originality, and confirming that the manuscript is not under review elsewhere.

Abstract

Structured abstracts are mandatory for the following types of submissions: original research articles, systematic reviews, meta-analyses, narrative review articles, case series, and case reports. Each category requires a format-specific structure to enhance clarity and consistency.

Original Research Article

The abstract must be structured under the following subheadings:
Background, Methods, Results, Conclusion

At the end of the abstract, include 3–5 keywords to facilitate indexing and searchability.

Systematic Review / Meta-analysis

The abstract must be structured under the following subheadings:
Background, Methods, Results, Conclusion

Additionally, include the Trial Registration Number (if applicable).
If the trial was not registered, state: “Unregistered trial.”
Conclude with 3–5 keywords.

Case Series

The abstract should follow a three-part structure:
Background, Results, Conclusion

Include 3–5 keywords at the end.

Case Reports

The abstract must be structured as:
Background, Case Presentation, Conclusion

Conclude with 3–5 keywords.

Other Article Types

For all other manuscript categories where an abstract is required, an unstructured abstract summarizing the content of the manuscript should be submitted. Authors must also provide 3–5 keywords at the end.

Introduction

The Introduction should clearly establish the context and relevance of the study by presenting the background of the research problem and its significance within the field of mathematics, logic, or their related theoretical structures. Authors are expected to explain the broader mathematical or logical landscape of the topic, including existing challenges, foundational assumptions, unresolved conjectures, or theoretical gaps that motivate the current investigation.

The section must also clearly state the research objective, purpose, or hypothesis being examined, preferably within one to two concise paragraphs. This introduction should guide the reader toward the mathematical or logical contributions of the study without presenting results or conclusions.

Authors should include only 3–5 directly relevant references to support the background and context, avoiding excessive citation. Specific results or conclusions from the current study must not be included in this section.

Methods

The Methods section should provide sufficient detail to allow the study to be fully understood and, where applicable, replicated by other researchers. This includes a clear and comprehensive description of the mathematical framework, logical models, theoretical constructions, analytical techniques, or computational approaches employed in the study.

If applicable, a statement should be included indicating approval by an appropriate ethical review board or institutional committee, particularly for studies involving human subjects, experimental data collection, or sensitive information.

Authors should clearly specify:

1. The setting or mathematical context in which the study was conducted (e.g., theoretical framework, computational environment, formal system).
2. The timeframe during which the research was carried out, if relevant.
3. The study design used (e.g., theoretical proof, axiomatic development, model construction, simulation-based analysis, algorithmic evaluation).
4. Inclusion and exclusion criteria for datasets, assumptions, or logical systems considered.
5. The primary and secondary objectives or outcomes of the study.
6. Detailed descriptions of methods and procedures, including algorithms, proofs, computational tools, or software (e.g., MATLAB, Mathematica, Python, R), along with versions where applicable.
7. Any datasets, repositories, symbolic systems, or formal languages used, and the manner in which they were accessed or analyzed.
8. Established methods should be cited with appropriate references. For newly proposed, modified, or less commonly used methods, authors must provide a concise explanation along with justification and any known limitations.

Where relevant, mathematical notation, symbols, or formal definitions must be used consistently and in accordance with accepted conventions. Statistical or analytical methods should be explained clearly, including justification for their use. Authors should avoid reliance solely on p-values and instead report appropriate measures such as bounds, error estimates, convergence criteria, or complexity analyses.

Results

The Results section should present findings in a logical and well-structured sequence, supported where appropriate by tables, figures, equations, or formal statements. Results should directly correspond to the objectives and methods described in the previous section.

Authors should:

• Present primary and secondary results explicitly and clearly.
• Avoid redundancy by summarizing key findings in the text while providing full details in tables, figures, or formal expressions where necessary.
• Use exact values, expressions, or formal derivations alongside derived measures or interpretations to ensure precision and verifiability.
• Avoid repeating the same information across multiple formats.
• Where applicable, results may be organized under subheadings such as:
• Theoretical Foundations or Definitions
• Core Propositions, Lemmas, or Theorems
• Algorithmic or Computational Outcomes
• Analytical Comparisons or Performance Results
• Supplementary materials, extended proofs, additional derivations, or computational appendices may be submitted as supporting documents if they are too detailed for inclusion in the main text but are necessary for transparency and completeness.

Graphs, diagrams, or visual representations should be used only when they provide clearer insight than textual or symbolic descriptions. Technical terms should be used precisely and only when supported by the methodology presented.

Discussion & Conclusion

The Discussion section should begin with a concise summary of the key findings, emphasizing their significance and contribution to existing knowledge in mathematics or logical theory. Authors should interpret the results in the context of relevant theories, models, or prior work, explaining how the findings extend, refine, or challenge existing understanding.

Novel contributions should be clearly articulated, and comparisons with related studies should be made where appropriate. Authors are encouraged to discuss the broader implications of their results for theoretical development, logical reasoning, or related applications.

The limitations of the study must be clearly stated, including assumptions, constraints of the chosen framework, or boundaries of applicability. Where relevant, discuss how variations in assumptions, parameters, or logical systems might influence the interpretation of the results.

Authors should avoid restating detailed results already presented and instead focus on interpretation, significance, and implications. Suggestions for future research may include:

Extension to broader mathematical structures or logical systems

Refinement of theoretical models or proofs

Exploration of alternative assumptions or formalisms

The Conclusion should provide a clear and concise summary of the study’s overall contribution, aligned with the stated objectives. Authors must avoid overstating claims or drawing conclusions not directly supported by the analysis. Any new hypotheses should be explicitly identified as exploratory.

Finally, authors should refrain from implying publication precedence or referencing unpublished or incomplete work.

References
General Considerations Related to References

Authors are expected to provide accurate and direct references to original scholarly sources whenever possible to ensure the reliability, verifiability, and traceability of the research presented. Citations should primarily reflect foundational works and recent contributions relevant to mathematics, logic, and formal structures.

References must not be used to serve personal, institutional, or commercial interests of the authors, editors, or reviewers. Self-citation should be limited and justified solely by its relevance to the current study.

Authors must avoid citing articles from predatory or pseudo-journals. While review articles may offer useful summaries of existing research, they should not replace citations to original mathematical proofs, theoretical developments, or primary analytical studies.

Excessively long reference lists should be avoided. Authors are encouraged to cite a focused selection of key and authoritative sources that directly support the arguments and results presented. Additional references may be provided as supplementary material or accessed through recognized digital repositories when necessary.

When referencing unpublished work, authors should adhere to the following guidelines:

Articles accepted but not yet published should be cited as “in press” or “forthcoming.”

Manuscripts submitted but not accepted should be cited as “unpublished observations” and must include written permission from the authors.

Personal communications should be cited only when essential and unavailable through public sources. In such cases, the communicator’s name and date of communication must be included in parentheses in the text, along with written permission confirming accuracy.

Where applicable, published works should include unique and persistent identifiers such as Digital Object Identifiers (DOIs) to ensure long-term accessibility.

References must be numbered consecutively in the order in which they are first cited in the text, using Arabic numerals in square brackets, for example:
“Logical consistency plays a central role in formal reasoning [1].”

All references must conform to the citation style specified in the Author Guidelines, and authors are responsible for ensuring consistency, accuracy, and completeness of all entries.

Reference Style and Format

The Journal of Global Mathematics and Logical Structures follows the Vancouver referencing style, in accordance with the guidelines of the International Committee of Medical Journal Editors (ICMJE) and as detailed in the NLM’s Citing Medicine, 2nd edition.

General Guidelines

References must be numbered consecutively in the order of first citation in the text.

Reference numbers should be placed in square brackets immediately after the full stop, for example: Formal systems require precise definitions. [1,2]

Use “et al.” after the sixth author in a citation.

References to predatory or pseudo-journals must be avoided.

Personal communications should be cited only when essential and must include the source and date, along with written permission.

Datasets should be cited using unique and persistent identifiers where available.

Unpublished work must be identified as “in press” (if accepted) or “unpublished observations” with appropriate permission.

Reference Examples

Article within a journal:
Koonin EV, Altschul SF, Bork P. BRCA1 protein products: functional motifs. Nat Genet. 1996;13:266–267.

Article within a journal supplement:
Orengo CA, Bray JE, Hubbard T, LoConte L, Sillitoe I. Analysis and assessment of ab initio three-dimensional prediction, secondary structure, and contacts prediction. Proteins. 1999;43(Suppl 3):149–170.

In press article:
Kharitonov SA, Barnes PJ. Clinical aspects of exhaled nitric oxide. Eur Respir J. In press.

Published abstract:
Zvaifler NJ, Burger JA, Marinova-Mutafchieva L, Taylor P, Maini RN. Mesenchymal cells, stromal-derived factor-1, and rheumatoid arthritis [abstract]. Arthritis Rheum. 1999;42:250.

Article within conference proceedings:
Jones X. Zeolites and synthetic mechanisms. In: Proceedings of the First National Conference on Porous Sieves; 1996 Jun 27–30; Baltimore. Smith Y, editor. Stoneham: Butterworth-Heinemann; 1996. p. 16–27.

Book chapter or article within a book:
Schnepf E. From prey via endosymbiont to plastids: comparative studies in dinoflagellates. In: Lewin RA, editor. Origins of Plastids. Vol 2. 2nd ed. New York: Chapman and Hall; 1993. p. 53–76.

Whole issue of a journal:
Ponder B, Johnston S, Chodosh L, editors. Innovative oncology. Breast Cancer Res. 1998;10:1–72.

Whole conference proceedings:
Smith Y, editor. Proceedings of the First National Conference on Porous Sieves; 1996 Jun 27–30; Baltimore. Stoneham: Butterworth-Heinemann; 1996.

Complete book:
Margulis L. Origin of Eukaryotic Cells. New Haven: Yale University Press; 1970.

Monograph or book in a series:
Hunninghake GW, Gadek JE. The alveolar macrophage. In: Harris TJR, editor. Cultured Human Cells and Tissues. New York: Academic Press; 1995. p. 54–56. (Methods and Perspectives in Cell Biology; vol. 1.)

Book with institutional author:
Advisory Committee on Genetic Modification. Annual Report. London; 1999.

Ph.D. thesis:
Kohavi R. Wrappers for performance enhancement and oblivious decision graphs [Ph.D. thesis]. Stanford (CA): Stanford University, Computer Science Department; 1995.

Tables

Tables should be used to present data, results, or structured information clearly, concisely, and efficiently to support mathematical or logical analysis. Tables should complement the text rather than duplicate it and must be designed to convey precision without overburdening the narrative.

Each table must be self-explanatory and include a brief yet descriptive title placed above the table. The title should allow readers to understand the content independently of the main text.

Tables must be numbered consecutively in the order of their first citation in the manuscript (e.g., Table 1, Table 2, etc.).

Each column should contain a short or clearly defined heading. Any nonstandard abbreviations or symbols used within the table must be explained in footnotes below the table rather than in the column headings.

Symbols or superscripts (e.g., *, †, ‡) may be used to clarify specific entries or provide additional explanations. These must be clearly defined in the footnote section.

Authors should avoid repeating data already presented in the text. Tables should instead be used to summarize key results, comparisons, or formal outcomes.

If tabulated data are derived from previously published or unpublished sources, appropriate acknowledgment must be provided, and necessary permissions must be obtained.

Supplementary tables containing extended datasets or detailed derivations that are too lengthy for the main manuscript may be published electronically. The main text should clearly indicate where such tables can be accessed (e.g., “Supplementary Table 1 available in the online version of this article”).

Submission Requirements

1. All tables must be submitted as editable text, not as images.
2. The intended placement of each table should be clearly indicated in the manuscript (e.g., [Insert Table 1 here]).
3. All tables must be submitted together with the manuscript to ensure availability during peer review.

Illustrations (Figures)

Figures and illustrations should be used to enhance clarity and support the presentation of mathematical concepts, logical structures, or analytical results. All figures must meet publication-quality standards.

Image Format and Quality:
All figures should be submitted in high-resolution TIFF or JPEG format. Images must be sharp and clear; low-resolution or pixelated figures will not be accepted.

Diagrams and Graphical Representations:
Graphs, diagrams, schematics, and visual representations of logical or mathematical structures should be prepared under consistent formatting conditions, ensuring clarity and readability.

Scale and Labels:
Figures must include appropriate scale indicators, labels, and annotations where applicable. Symbols, arrows, or markers used in figures must be clearly distinguishable from the background.

Figure Numbering:
Figures should be numbered consecutively according to their order of appearance in the text (e.g., Figure 1, Figure 2, etc.).

Previously Published Figures:
If a figure has been previously published, the original source must be acknowledged, and written permission from the copyright holder must be provided, unless the material is in the public domain.

Figure Legends:
Figure legends must be provided on a separate page and labeled with Arabic numerals corresponding to each figure. Any symbols, letters, or arrows used in the figure must be clearly explained in the legend.

Placement:
Figures should not be embedded within the main text. Authors must indicate the preferred placement using notes such as [Insert Figure 1 here].

Units of Measurement

To ensure clarity and consistency in mathematical and scientific communication, all units of measurement used in submissions to the Journal of Global Mathematics and Logical Structures must follow standardized conventions.

Metric System: Measurements of length, area, volume, mass, and related quantities should be expressed using the metric system or its decimal multiples.

Temperature: All temperature values must be reported in degrees Celsius (°C).

Pressure: Pressure values should be expressed in standard units such as pascals (Pa) or millimeters of mercury (mmHg), where applicable.

Numerical Consistency: Authors should apply units consistently throughout the manuscript and avoid mixing different unit systems within the same section or dataset.

Consistent and uniform use of measurement units improves precision, readability, and reproducibility.

Abbreviations and Symbols

To maintain clarity and accessibility, the following guidelines must be followed regarding abbreviations and symbols:

1. Standard Usage: Only standard and widely accepted abbreviations and symbols should be used. Nonstandard or invented abbreviations should be avoided.
2. Title and Abstract: Abbreviations must not be used in the title or abstract. These sections should remain clear and descriptive.
3. First Use: All abbreviations must be spelled out in full at first mention in the text, followed by the abbreviation in parentheses. Subsequent occurrences may use the abbreviation alone.
4. Units Exception: Standard units of measurement (e.g., m, kg, s) do not require definition.
5. Symbols: Mathematical and logical symbols must be used consistently and in accordance with accepted conventions. Symbols should be clearly defined when first introduced or within table and figure legends.

Proper and consistent use of abbreviations and symbols ensures clarity, precision, and uniformity across published articles.

Types of Manuscripts

The Journal of Global Mathematics and Logical Structures accepts a broad range of manuscript types to promote scholarly discourse and theoretical advancement in mathematics, logic, and formal systems. Editorials are generally invited by the editorial board and provide expert perspectives on emerging theories, trends, or developments in mathematical and logical research.

Original Research Articles should present significant and original contributions in areas such as pure and applied mathematics, mathematical logic, algebraic and logical structures, computational logic, and related domains. These manuscripts must include a structured abstract (Background, Methods, Results, and Conclusion), 3–5 keywords, and clearly organized sections including Introduction, Methods, Results, Discussion, and Conclusion. The Introduction should outline the research motivation and objectives; Methods should describe the theoretical framework, proofs, models, or analytical techniques used; Results should be presented clearly without duplication; the Discussion should interpret findings in relation to existing literature; and the Conclusion should summarize key contributions and limitations.

Review Articles , including systematic reviews, meta-analyses, and narrative reviews, are encouraged and should follow recognized reporting guidelines appropriate to mathematical and logical research. Brief Reports or Case Series present concise original contributions or grouped theoretical analyses and follow the structure of full-length articles but are limited to 1500 words, three figures or tables, and 15–20 references. Case Reports describe rare, novel, or illustrative mathematical or logical phenomena. These manuscripts should not exceed 1000–1200 words and must include an abstract, keywords, introduction, case description, discussion, and conclusion, with a maximum of three figures or tables and ten references.

Letters to the Editor may address recently published articles or present brief scholarly commentary on relevant topics. These are limited to 500 words and five references. Case Letters are short reports on individual theoretical or analytical cases, do not require an abstract, and are limited to 500 words, five references, and up to two figures. The journal also accepts Images or Conceptual Quizzes, which may include diagrams, logical structures, or mathematical illustrations accompanied by explanatory notes or questions, limited to 500 words and five references.

In addition, the journal considers submissions in innovative formats such as Short Communications, Technical Notes, Face the Examiner (debates or expert question-and-answer discussions), Evidence-Based Reports, and conceptual or perspective articles. All submissions must comply with the journal’s formatting and ethical standards and will undergo peer review unless otherwise specified.

Manuscript Submission

Manuscripts must be submitted online through the journal’s website. Figures and tables may be submitted separately or embedded within the manuscript file. The maximum allowable size for an individual file is 4 MB.

Authorship Criteria

The Journal of Global Mathematics and Logical Structures emphasizes ethical authorship and accurate acknowledgment of scholarly contributions. All submitted manuscripts must include a clear authorship contribution statement, even if it is not published alongside the article.

An author is defined as an individual who has made a substantive intellectual contribution to the research and manuscript. To qualify for authorship, all of the following criteria must be met:

Significant contribution to the conception or design of the work, or to the development, analysis, or interpretation of results.

Participation in drafting the manuscript or revising it critically for important intellectual content.

Final approval of the version to be published and agreement to take responsibility for the work.

Activities such as funding acquisition, data collection alone, or general supervision do not justify authorship. Individuals who contributed in a limited capacity should be acknowledged with their consent.

All authors must approve the final manuscript prior to submission. The journal discourages honorary and ghost authorship. Any authorship disputes will be handled in accordance with COPE (Committee on Publication Ethics) guidelines.

Copyrights

By submitting a manuscript, the author(s) transfer the right of first publication to the journal.

Plagiarism

Plagiarism constitutes unethical scholarly conduct and is strictly prohibited. All submissions are screened for plagiarism. If plagiarism is detected, authors will be notified and required to provide clarification or corrections. Editorial actions will be taken in accordance with COPE guidelines.

Archiving Policy

The Journal of Global Mathematics and Logical Structures is committed to long-term preservation and accessibility of published content. The journal uses the LOCKSS (Lots of Copies Keep Stuff Safe) system to ensure distributed digital archiving among participating libraries, enabling permanent preservation and restoration of content.

This approach ensures continued access to published articles even in the event of technical failures or data loss.

Post Publication Dissemination

Authors are encouraged to share the published version of their articles through open-access repositories, institutional websites, academic networks, and scholarly platforms.

All published content is distributed under a Creative Commons Attribution License, permitting unrestricted use, distribution, and reproduction, provided the original work is properly cited. Authors retain the right to disseminate their work to enhance visibility, impact, and scholarly engagement.

Case Report

The journal publishes Case Reports that present rare, novel, or instructive mathematical or logical cases of academic significance. The manuscript title should include the phrase “A case report” at the end.

Case presentations must include comprehensive background information, context, assumptions, analytical process, key steps or constructions, and final outcomes. Supporting material such as proofs, diagrams, or computational outputs may be included where relevant.

The Discussion section should critically analyze the case, relate it to existing literature, and evaluate its relevance within current theoretical frameworks. Recent literature should be prioritized to ensure relevance.

Innovation & Technique

The journal welcomes manuscripts describing innovative methods, models, frameworks, algorithms, or analytical techniques in mathematics and logic. Submissions should emphasize originality, theoretical contribution, and effectiveness.

Authors must describe the development process, conceptual foundations, applicability, and limitations of the proposed innovation. Where applicable, supporting results or illustrative examples should be provided.

Quality Improvement Project

The Journal of Global Mathematics and Logical Structures encourages submissions describing Quality Improvement Projects aimed at enhancing analytical methods, theoretical frameworks, educational practices, or computational processes within mathematical or logical research.

Manuscripts should clearly identify the problem addressed, baseline conditions, methodological approach, implementation process, and measurable outcomes. Emphasis should be placed on sustainability, reproducibility, and broader applicability.