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On syntactic concept lattice models for the Lambek calculus and infinitary action logic
Journal of Logic and ComputationThe linguistic applications of the Lambek calculus suggest its semantics over algebras of formal languages. A straightforward approach to construct such semantics indeed yields a brilliant completeness theorem (Pentus 1995).
S. Kuznetsov
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Algebraic Proof Theory for Infinitary Action Logic
arXiv.orgWe exhibit a uniform method for obtaining (wellfounded and non-wellfounded) cut-free sequent-style proof systems that are sound and complete for various classes of action algebras, i.e., Kleene algebras enriched with meets and residuals.
Wesley Fussner +2 more
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An infinitary axiomatization of dynamic topological logic
Logic Journal of the IGPL, 2020Dynamic topological logic ($\textsf{DTL}$) is a multi-modal logic that was introduced for reasoning about dynamic topological systems, i.e. structures of the form $\langle{\mathfrak{X}, f}\rangle $, where $\mathfrak{X}$ is a topological space and $f ...
Somayeh Chopoghloo, M. Moniri
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Completeness of Infinitary Heterogeneous Logic
Notre Dame Journal of Formal Logic, 2019Given a regular cardinal $\kappa$ such that $\kappa^{
Christian EspĂndola
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Comparing Infinitary Systems for Linear Logic with Fixed Points
Foundations of Software Technology and Theoretical Computer Science, 2023Anupam Das, A. De, A. Saurin
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Complexity of a Fragment of Infinitary Action Logic with Exponential via Non-well-founded Proofs
International Conference on Theorem Proving with Analytic Tableaux and Related Methods, 2021S. Kuznetsov
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Boolean Completeness of Infinitary Logic with Arbitrary Signatures
Notre Dame Journal of Formal LogicJ. P. Aguilera
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Closure Ordinal of Immediate Derivability Operator of Infinitary Action Logic
Mathematical NotesT. G. Pshenitsyn
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