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Proving Conjectures Acquired by Composing Multiple Biases
We present the proofs of the conjectures mentioned in the paper published in the proceedings of the 2024 AAAI conference [1], and discovered by the decomposition methods presented in the same paper.
Classifying Pattern and Feature Properties to Get a $Θ(n)$ Checker and Reformulation for Sliding Time-Series Constraints
Given, a sequence $\mathcal{X}$ of $n$ variables, a time-series constraint ctr using the Sum aggregator, and a sliding time-series constraint enforcing the constraint ctr on each sliding window of $\mathcal{X}$ of $m$ consecutive variables, we describe a $\Theta(n)$ time complexity checker, as well as a $\Theta(n)$ space complexity reformulation for such sliding constraint.
Synthesising a Database of Parameterised Linear and Non-Linear Invariants for Time-Series Constraints
Many constraints restricting the result of some computations over an integer sequence can be compactly represented by register automata.
Global Constraint Catalog, Volume II, Time-Series Constraints
First this report presents a restricted set of finite transducers used to synthesise structural time-series constraints described by means of a multi-layered function composition scheme.
Propagating Regular Counting Constraints
Constraints over finite sequences of variables are ubiquitous in sequencing and timetabling.
