We investigate verification problems for gap-order constraint systems (GCS), an (infinitely-branching) abstract model of counter machines, in which constraints (over Z) between the variables of the source state and the target state of a transition are gap-order constraints (GC) [21]. GCS extend monotonicity constraint systems [3], integral relation automata [8], and constraint automata in [11]....

Abstract—This paper represents performance of particle swarm optimisation (PSO) algorithm based integral (I) controller and proportional-integral controller (PI) for interconnected hydro-thermal automatic generation control (AGC) with generation rate constraint (GRC) and Thyristor controlled phase shifter (TCPS) in series with tie line. The control strategy of TCPS provides active control of sy...

The variational autoregressive network is extended to the Euclidean path integral representation of quantum partition function. An essential challenge adapting sequential process sample generation by an a nonlocal constraint due periodic boundary condition in integral. add-on oracle devised for this purpose, which accurately identifies and stalls unviable configurations as soon they occur. enab...

We present a brief description of the “consistent discretization” approach to classical and quantum general relativity. We exhibit a classical simple example to illustrate the approach and summarize current classical and quantum applications. We also discuss the implications for the construction of a well defined quantum theory and in particular how to construct a quantum continuum limit. 1.1 C...

Robin Hirsch posed in 1996 the Really Big Complexity Problem: classify computational complexity of network satisfaction problem for all finite relation algebras A. We provide a complete classification case that A is symmetric and has fexible atom; this case, NP-complete or P. The task can be reduced to where integral. If integral algebra flexible atom, then it normal representation B. study usi...

Abstract The issue of the relationship between predictive processing (PP) and free energy principle (FEP) remains a subject debate controversy within research community. Many researchers have expressed doubts regarding actual integration PP with FEP, questioning whether FEP can truly contribute significantly to mechanistic understanding or even undermine such altogether. In this paper, I presen...