A logic for distributed transition systems

Linear Time, Branching Time and Partial Order in Logics and Models for Concurrency - Lecture Notes in Computer Science ◽

10.1007/bfb0013033 ◽

1989 ◽

pp. 508-522 ◽

Cited By ~ 2

Author(s):

K. Lodaya ◽

R. Ramanujam ◽

P. S. Thiagarajan

Keyword(s):

Transition Systems

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Neural Transition Systems for Modeling Hierarchical Semantic Representations

10.21437/interspeech.2019-3075 ◽

2019 ◽

Author(s):

Riyaz Bhat ◽

John Chen ◽

Rashmi Prasad ◽

Srinivas Bangalore

Keyword(s):

Semantic Representations ◽

Transition Systems

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Battery transition systems

ACM SIGPLAN Notices ◽

10.1145/2578855.2535875 ◽

2014 ◽

Vol 49 (1) ◽

pp. 595-606 ◽

Cited By ~ 2

Author(s):

Udi Boker ◽

Thomas A. Henzinger ◽

Arjun Radhakrishna

Keyword(s):

Transition Systems

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The Complexity of Model-Checking Tail-Recursive Higher-Order Fixpoint Logic

Fundamenta Informaticae ◽

10.3233/fi-2021-1996 ◽

2021 ◽

Vol 178 (1-2) ◽

pp. 1-30

Author(s):

Florian Bruse ◽

Martin Lange ◽

Etienne Lozes

Keyword(s):

Model Checking ◽

Lower Bounds ◽

Expressive Power ◽

Higher Order ◽

Order Logic ◽

High Complexity ◽

Transition Systems ◽

Recursive Formulas ◽

Second Order Logic ◽

Monadic Second Order Logic

Higher-Order Fixpoint Logic (HFL) is a modal specification language whose expressive power reaches far beyond that of Monadic Second-Order Logic, achieved through an incorporation of a typed λ-calculus into the modal μ-calculus. Its model checking problem on finite transition systems is decidable, albeit of high complexity, namely k-EXPTIME-complete for formulas that use functions of type order at most k < 0. In this paper we present a fragment with a presumably easier model checking problem. We show that so-called tail-recursive formulas of type order k can be model checked in (k − 1)-EXPSPACE, and also give matching lower bounds. This yields generic results for the complexity of bisimulation-invariant non-regular properties, as these can typically be defined in HFL.

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