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Volume 22, Issue 3July 2021
Reflects downloads up to 13 Nov 2024Bibliometrics
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research-article
Open Access
Kripke Semantics for Intersection Formulas
Article No.: 15, Pages 1–16https://doi.org/10.1145/3453481

We propose a notion of the Kripke-style model for intersection logic. Using a game interpretation, we prove soundness and completeness of the proposed semantics. In other words, a formula is provable (a type is inhabited) if and only if it is forced in ...

research-article
Collapsible Pushdown Parity Games
Article No.: 16, Pages 1–51https://doi.org/10.1145/3457214

This article studies a large class of two-player perfect-information turn-based parity games on infinite graphs, namely, those generated by collapsible pushdown automata. The main motivation for studying these games comes from the connections from ...

research-article
Strategic Knowledge Acquisition
Article No.: 17, Pages 1–18https://doi.org/10.1145/3459993

The article proposes a trimodal logical system that can express the strategic ability of coalitions to learn from their experience. The main technical result is the completeness of the proposed system.

research-article
Slanted Canonicity of Analytic Inductive Inequalities
Article No.: 18, Pages 1–41https://doi.org/10.1145/3460973

We prove an algebraic canonicity theorem for normal LE-logics of arbitrary signature, in a generalized setting in which the non-lattice connectives are interpreted as operations mapping tuples of elements of the given lattice to closed or open elements of ...

research-article
From 2-Sequents and Linear Nested Sequents to Natural Deduction for Normal Modal Logics
Article No.: 19, Pages 1–29https://doi.org/10.1145/3461661

We extend to natural deduction the approach of Linear Nested Sequents and of 2-Sequents. Formulas are decorated with a spatial coordinate, which allows a formulation of formal systems in the original spirit of natural deduction: only one introduction and ...

research-article
Display to Labeled Proofs and Back Again for Tense Logics
Article No.: 20, Pages 1–31https://doi.org/10.1145/3460492

We introduce translations between display calculus proofs and labeled calculus proofs in the context of tense logics. First, we show that every derivation in the display calculus for the minimal tense logic Kt extended with general path axioms can be ...

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