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- research-articleDecember 2023
A linear exponential comonad in s-finite transition kernels and probabilistic coherent spaces
AbstractThis paper concerns a stochastic construction of probabilistic coherent spaces by employing novel ingredients (i) linear exponential comonad arising properly in the measure-theory (ii) continuous orthogonality between measures and measurable ...
- rapid-communicationAugust 2023
Reducing the number of disjuncts in DTPs
AbstractThe Disjunctive Temporal Problem (DTP) consists of a finite set of time points and a finite set of constraints, each composed of alternative disjuncts modeling delays and deadlines for possibly different pairs of time points. An instance of DTP ...
Highlights- We provide polynomial-time encoders to reduce the number of disjuncts per constraint in the Disjunctive Temporal Problem.
- We prove equi-consistency for the resulting instances.
- We prove equivalence in the special case of the ...
- research-articleNovember 2022
Model checking hyperproperties for Markov decision processes
AbstractWe study the problem of formalizing and checking probabilistic hyperproperties for Markov decision processes (MDPs). We introduce the temporal logic HyperPCTL that allows explicit and simultaneous quantification over schedulers as well ...
- research-articleNovember 2022
A robust class of linear recurrence sequences
AbstractWe introduce a subclass of linear recurrence sequences which we call poly-rational sequences because they are denoted by rational expressions closed under sum and product. We show that this class is robust by giving several ...
- research-articleNovember 2022
Abstract processes in the absence of conflicts in general place/transition systems
AbstractGoltz and Reisig generalised Petri's concept of processes of one-safe Petri nets to general nets where places carry multiple tokens. BD-processes are equivalence classes of Goltz-Reisig processes connected through the swapping ...
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- research-articleNovember 2022
Decisiveness of stochastic systems and its application to hybrid models
AbstractIn 2007, Abdulla et al. introduced the concept of decisiveness, an interesting tool for lifting good properties of finite Markov chains to denumerable ones. Later, this concept was extended to more general stochastic transition systems ...
- research-articleOctober 2022
Complexity of automatic sequences
AbstractAutomatic sequences can be defined by DFAs with output (DFAO) in two natural ways. We propose to consider the minimal size of a corresponding DFAO as the complexity measure of the automatic sequence, for both variants. This paper ...
- research-articleMay 2022
Characterising spectra of equivalences for event structures, logically
AbstractWe present a logical characterisation of the equivalences in the spectrum for labelled Prime Event Structures (PESs) and use it for also studying how such spectrum changes when restricting to subclasses of event structures. We first ...
- research-articleMay 2022
On the decidability of the valuedness problem for two-way finite transducers
AbstractA transducer is infinite-valued if the maximal number of different outputs for an input string is not bounded by any constant. For one-way finite transducers, sufficient and necessary conditions exist in terms of the structure of a ...
- research-articleMay 2022
Counting (Watson-Crick) palindromes in Watson-Crick conjugates
AbstractA DNA string is a Watson-Crick (WK-)palindrome when the complement of its reverse is equal to itself. The Watson-Crick mapping θ is an involution that is also an antimorphism. In this paper, we study a generalization of conjugates of a ...
- research-articleJanuary 2022
Costs and rewards in priced timed automata
AbstractWe consider Pareto analysis of multi-priced timed automata (MPTA) having multiple observers recording costs (to be minimised) and rewards (to be maximised) along a computation.
We study the Pareto Domination Problem, which ...
- research-articleJanuary 2022
Weighted automata computation of edit distances with consolidations and fragmentations
AbstractWe study edit distances between strings, based on weighted operations such as character substitutions, insertions, deletions, and consolidations and fragmentations. The two latter operations transform a sequence of characters into one ...
- research-articleJanuary 2022
What's decidable about weighted automata?
AbstractWeighted automata map input words to values, and have numerous applications in computer science. A result by Krob from the 90s implies that the universality problem is decidable for weighted automata over the tropical ...
- research-articleJanuary 2022
Bisimulation metrics and norms for real-weighted automata
AbstractWe develop a new bisimulation (pseudo)metric for weighted finite automata (WFA) that generalizes Boreale's linear bisimulation relation. Our metrics are induced by seminorms on the state space of WFA. Our development is based on ...
- research-articleJanuary 2022
Probabilistic automata of bounded ambiguity
AbstractProbabilistic automata are an extension of nondeterministic finite automata in which transitions are annotated with probabilities. Despite its simplicity, this model is very expressive and many algorithmic questions are undecidable. In ...
- research-articleDecember 2021
Computational completeness of sequential spiking neural P systems with inhibitory rules
AbstractSpiking neural P systems with inhibitory rules (in short, IR-SN P systems) are a kind of bio-inspired computing systems, which are abstracted by the inhibitory synaptic mechanism of biological neurons. IR-SN P systems work in ...
Highlights- We propose an IR-SSN P system, inspired from the inhibitory synaptic mechanism of biological neurons.
- research-articleDecember 2021
On equations and first-order theory of one-relator monoids
AbstractWe investigate systems of equations and the first-order theory of one-relator monoids. We describe a family F of one-relator monoids of the form 〈 A | w = 1 〉 where for each monoid M in F, the longstanding open problem of decidability ...
- research-articleDecember 2021
Narrowing the speedup factor gap of partitioned EDF
AbstractSchedulability is a fundamental problem in analyzing real-time systems, but it often has to be approximated because of the intrinsic computational hardness. Partitioned earliest deadline first (EDF) is one of the most popular ...
- research-articleDecember 2021
Allocating contiguous blocks of indivisible chores fairly
AbstractIn the cake cutting problem, a cake needs to be divided among players with possibly different valuations for different pieces of the cake. We consider a variation where the cake represents chores that need to be allocated. We assume ...
- research-articleOctober 2021
Complexity analysis of a unifying algorithm for model checking interval temporal logic
AbstractModel checking (MC) for Halpern and Shoham's interval temporal logic HS has been recently shown to be decidable. An intriguing open question is its exact complexity for full HS: it is at least EXPSPACE-hard, and the only known upper ...