6533b856fe1ef96bd12b3215

RESEARCH PRODUCT

Two-variable logics with counting and semantic constraints

Emanuel KieronskiIan Pratt-hartmannLidia Tendera

subject

Microbiology (medical)Theoretical computer scienceComputer science010102 general mathematicsImmunology0102 computer and information sciences01 natural sciencesSatisfiabilityFinite satisfiabilityDecidabilityVariable (computer science)010201 computation theory & mathematicsImmunology and Allergy0101 mathematics

description

In this article we discuss fragments and extensions of two-variable logics motivated by practical applications. We outline the decidability frontier, describing some of the techniques developed for deciding satisfiability and finite satisfiability, as well as characterizing their complexity.

https://doi.org/10.1145/3242953.3242958