Multi-Property Synthesis

Fuente: arXiv
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Main Authors: Weinhuber, Christoph, Schnitzer, Yannik, Abate, Alessandro, Parker, David, De Giacomo, Giuseppe, Vardi, Moshe Y.
Format: Preprint
Published: 2026
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author Weinhuber, Christoph
Schnitzer, Yannik
Abate, Alessandro
Parker, David
De Giacomo, Giuseppe
Vardi, Moshe Y.
author_facet Weinhuber, Christoph
Schnitzer, Yannik
Abate, Alessandro
Parker, David
De Giacomo, Giuseppe
Vardi, Moshe Y.
contents We study LTLf synthesis with multiple properties, where satisfying all properties may be impossible. Instead of enumerating subsets of properties, we compute in one fixed-point computation the relation between product-game states and the goal sets that are realizable from them, and we synthesize strategies achieving maximal realizable sets. We develop a fully symbolic algorithm that introduces Boolean goal variables and exploits monotonicity to represent exponentially many goal combinations compactly. Our approach substantially outperforms enumeration-based baselines, with speedups of up to two orders of magnitude.
format Preprint
id arxiv_https___arxiv_org_abs_2601_10651
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Multi-Property Synthesis
Weinhuber, Christoph
Schnitzer, Yannik
Abate, Alessandro
Parker, David
De Giacomo, Giuseppe
Vardi, Moshe Y.
Artificial Intelligence
Logic in Computer Science
We study LTLf synthesis with multiple properties, where satisfying all properties may be impossible. Instead of enumerating subsets of properties, we compute in one fixed-point computation the relation between product-game states and the goal sets that are realizable from them, and we synthesize strategies achieving maximal realizable sets. We develop a fully symbolic algorithm that introduces Boolean goal variables and exploits monotonicity to represent exponentially many goal combinations compactly. Our approach substantially outperforms enumeration-based baselines, with speedups of up to two orders of magnitude.
title Multi-Property Synthesis
topic Artificial Intelligence
Logic in Computer Science
url https://arxiv.org/abs/2601.10651