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20052026
most citedEssential Convexity and Complexity of Semi-Algebraic Constraints

72 citations · 368 across the 79 of their papers we have counts for

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math.LO2026

The Complexity of Resilience for Digraph Queries

Manuel Bodirsky, Žaneta Semanišinová

We prove a complexity dichotomy for the resilience problem for unions of conjunctive digraph queries (i.e., for existential positive sentences over the signature of directe…

math.LO2025

Taking model-complete cores

Manuel Bodirsky, Bertalan Bodor, Paolo Marimon

A first-order theory is a model-complete core theory if every first-order formula is equivalent modulo to an existential positive formula; a core companion of a theory …

math.LO2025

On the Computational Power of Extensional ESO

Manuel Bodirsky, Santiago Guzmán Pro

Extensional ESO is a fragment of existential second-order logic (ESO) that captures the following family of problems. Given a fixed ESO sentence and an input structure $\mathbb…

math.LO2025

Structures preserved by primitive actions of

Manuel Bodirsky, Bertalan Bodor

We present a dichotomy for structures that are preserved by primitive actions of : such a structure primitively positively constructs all finite…

math.LO2024

Hereditary First-Order Logic: the tractable quantifier prefix classes

Manuel Bodirsky, Santiago Guzmán-Pro

Many computational problems can be modelled as the class of all finite structures that satisfy a fixed first-order sentence hereditarily, i.e., we require that ever…

math.LO2024

A Complexity Dichotomy for Temporal Valued Constraint Satisfaction Problems

Manuel Bodirsky, Édouard Bonnet, Žaneta Semanišinová

We study the complexity of the valued constraint satisfaction problem (VCSP) for every valued structure with the domain that is preserved by all order-preserving bije…