Mathematical Logic and Foundations of Mathematics

Dear Colleagues,

Mathematical logic is often divided into fields of set theory, model theory, recursion theory, and proof theory. This Special Issue will consider high-quality papers which present original research in mathematical logic and the foundations of mathematics. There will be a particular emphasis on set theory and the several axiomatic systems that have been proposed over time in accordance with our intuition (avoiding paradoxes). We hope to produce desirable results, presenting enough papers with credible rationales and stimulating approaches for understanding the fundamental constructions of mathematics and set theory.

We expect papers covering the following topics: model theory, recursion theory, proof theory, set theory, or algebraic logic. Articles challenging the traditional axiomatization, which includes the axiom of choice, the choice principles (that are weaker versions of the axiom of choice), the axiom of foundation, and the axiom of infinity, are very welcome, as well as those related to set theories with atoms and finitely supported structures. We will accept manuscripts specifically focusing on applications of set theory and logic to (theoretical) computer science (semantics,  domain theory, rewriting systems, reversibility).  

Dr. Andrei Alexandru
Prof. Dr. Gabriel Ciobanu
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• set theory
• alternative axioms
• consistency
• primitive recursive arithmetic
• set with atoms
• axiom of choice
• finitely supported sets
• logic in computer science
• applications of logic