1-way quantum finite state automata are reversible in nature, which greatly reduces its accepting property. In fact, the set of languages accepted by 1-way quantum finite automata is a proper subset of regular languages. We introduce 2-tape 1-way quantum finite state automaton (2T1QFA(2))which is a modified version of 1-way 2-head quantum finite state automaton(1QFA(2)). In this paper, we repla...

The paper proposes a novel paradigm for accurate reliability estimation of ubiquitous systems. The proposed prototype differs from all conventional software reliability models as it does not rely on any kind of post failure data, questionable assumptions or statistical distributions. The paradigm instead is based on software state to state transition at runtime. Using this state to state transi...

When their reading heads are allowed to move completely asynchronously, finite-state automata with multiple tapes achieve a significant expressive power, but also lose useful closure properties—closure under intersection, in particular. This paper investigates to what extent it is still feasible to use multi-tape automata as recognizers of polyadic predicates on words. On the negative side, det...

We present new complexity results for simulation-checking and modelchecking with infinite-state systems generated by pushdown automata and their proper subclasses of one-counter automata and one-counter nets (one-counter nets are ‘weak’ one-counter automata computationally equivalent to Petri nets with at most one unbounded place). As for simulation-checking, we show the following: a) simulatio...

Iterated Finite Automaton (IFA) is invented by Wolfram for studying the conventional Finite State Automata(FSA) by means of A New Kind of Science (NKS) methodology. An IFA is a composition of a finite state automaton and a tape with limited cells. The complexity of behaviors generated by various FSA operating on different tapes can be visualized by two dimensional patterns. Through enumerating ...

A well-known decision procedure for Presburger arithmetic uses deterministic finite-state automata. While the complexity of the decision procedure for Presburger arithmetic based on quantifier elimination is known (roughly, there is a double-exponential non-deterministic time lower bound and a triple exponential deterministic time upper bound), the exact complexity of the automata-based procedu...

Quantum finite automata with mixed states are proved to be super-exponentially more concise rather than quantum finite automata with pure states. It was proved earlier by A.Ambainis and R.Freivalds that quantum finite automata with pure states can have exponentially smaller number of states than deterministic finite automata recognizing the same language. There was a never published ”folk theor...

Cellular automata (CA) are discrete dynamical systems consist of a regular finite grid of cell; each cell encapsulating an equal portion of the state, and arranged spatially in a regular fashion to form an n-dimensional lattice. A cellular automata is like computers, data represented by initial configurations which is processed by time evolution to produce output. This paper is an empirical stu...

We consider deterministic and nondeterministic finite automata with acceptance conditions that rely on the whole history of a computation on a given word and not only on the last state of the computation under consideration. Formally, these conditions can be seen as the natural analogies of the Büchi and Muller acceptance for finite automata on infinite words. We study the computational power o...