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cs.LO2026

The Complexity of Defining and Separating Fixpoint Formulae in Modal Logic

Jean Christoph Jung, Jędrzej Kołodziejski, Jędrzej Kołodziejski

Modal separability for modal fixpoint formulae is the problem to decide for two given modal fixpoint formulae whether there is a modal formula that separates them, in th…

cs.LO2026

Going deep and going wide: Counting logic and homomorphism indistinguishability over graphs of bounded treedepth and treewidth

Isolde Adler, Eva Fluck, Tim Seppelt +1

We study the expressive power of first-order logic with counting quantifiers, especially the -variable and quantifier-rank- fragment, using homomorphism indistinguishability.…

cs.LO2026

Computation by infinite descent made explicit

Sebastian Enqvist

We introduce a non-wellfounded proof system for intuitionistic logic extended with inductive and co-inductive definitions, based on a syntax in which fixpoint formulas are annotate…

cs.LO2026

Automating Boundary Filling in Cubical Type Theories

Maximilian Doré, Evan Cavallo, Anders Mörtberg

When working in a proof assistant, automation is key to discharging routine proof goals such as equations between algebraic expressions. Homotopy type theory allows the user to rea…

cs.LO20261 cited

Knowledge Problems in Protocol Analysis: Extending the Notion of Subterm Convergent

Carter Bunch, Saraid Dwyer Satterfield, Serdar Erbatur +2

We introduce a new form of restricted term rewrite system, the graph-embedded term rewrite system. These systems, and thus the name, are inspired by the graph minor relation and ar…

cs.LO2026

Quantitative Verification with Neural Networks

Alessandro Abate, Alec Edwards, Mirco Giacobbe +2

We present a data-driven approach to the quantitative verification of probabilistic programs and stochastic dynamical models. Our approach leverages neural networks to compute tigh…