Prior work regarding the properties of intermediate and modal propositional logics
Research gap analysis derived from 3 mathematics papers in our local library.
The gap
Prior work does not provide a method for joining two independent classical modal logics. The gap is that there is no technique for constructing a join of two independent classical modal logics.
Evidence profile
Sourced from the stated research gap and future-work section of the source papers, classified as general, drawn from work published between 1977 and 2026, spanning 2 journals. Those papers have been cited 117 times in total.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 4 representative gaps
- Independent propositional modal logics (1980) · Studia Logica · cited 19× · doi
Prior work does not provide a method for joining two independent classical modal logics. The gap is that there is no technique for constructing a join of two independent classical modal logics.
generalstated research gapevidence 5/5Keywords: prior work does provide method joining two independent - Independent propositional modal logics (1980) · Studia Logica · cited 19× · doi
Future research can apply the technique for joining two classical modal logics to other areas. The results can be extended to other types of modal logics. The technique for constructing a Boolean algebra using the Lindenbaum-Tarski algebra can be applied to other areas.
generalfuture-work sectionevidence 5/5Keywords: future research apply technique joining two classical modal - On modal logic with an intuitionistic base (1977) · Studia Logica · cited 79× · doi
The paper suggests further research on the development of more general and flexible modal logics. It proposes exploring the applications of the proposed definition of intuitionistic modal analogue.
generalfuture-work sectionevidence 5/5Keywords: paper suggests further research development general flexible modal - A Proof-Theoretic Study of Modal Logic (2026) · arXiv
The paper suggests future research directions, including the study of nested sequent calculus for modal logic. The paper suggests future research directions, including the handling of the quantified versions of the systems of the framework.
generalfuture-work sectionevidence 5/5Keywords: paper suggests future research directions including study nested
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