---
res:
bibo_abstract:
- 'Two-player games on graphs are central in many problems in formal verification
and program analysis, such as synthesis and verification of open systems. In this
work, we consider solving recursive game graphs (or pushdown game graphs) that
model the control flow of sequential programs with recursion.While pushdown games
have been studied before with qualitative objectives-such as reachability and
?-regular objectives- in this work, we study for the first time such games with
the most well-studied quantitative objective, the mean-payoff objective. In pushdown
games, two types of strategies are relevant: (1) global strategies, which depend
on the entire global history; and (2) modular strategies, which have only local
memory and thus do not depend on the context of invocation but rather only on
the history of the current invocation of the module. Our main results are as follows:
(1) One-player pushdown games with mean-payoff objectives under global strategies
are decidable in polynomial time. (2) Two-player pushdown games with mean-payoff
objectives under global strategies are undecidable. (3) One-player pushdown games
with mean-payoff objectives under modular strategies are NP-hard. (4) Two-player
pushdown games with mean-payoff objectives under modular strategies can be solved
in NP (i.e., both one-player and two-player pushdown games with mean-payoff objectives
under modular strategies are NP-complete). We also establish the optimal strategy
complexity by showing that global strategies for mean-payoff objectives require
infinite memory even in one-player pushdown games and memoryless modular strategies
are sufficient in two-player pushdown games. Finally, we also show that all the
problems have the same complexity if the stack boundedness condition is added,
where along with the mean-payoff objective the player must also ensure that the
stack height is bounded.@eng'
bibo_authorlist:
- foaf_Person:
foaf_givenName: Krishnendu
foaf_name: Chatterjee, Krishnendu
foaf_surname: Chatterjee
foaf_workInfoHomepage: http://www.librecat.org/personId=2E5DCA20-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-4561-241X
- foaf_Person:
foaf_givenName: Yaron
foaf_name: Velner, Yaron
foaf_surname: Velner
bibo_doi: 10.1145/3121408
bibo_issue: '5'
bibo_volume: 64
dct_date: 2017^xs_gYear
dct_isPartOf:
- http://id.crossref.org/issn/00045411
dct_language: eng
dct_publisher: ACM@
dct_title: The complexity of mean-payoff pushdown games@
...