DPLL and Abstract DPLL Modulo TheoriesDPLL Modulo Theories Robert Nieuwenhuis, Albert Oliveras, and Cesare Tinelli ?? Abstract. We introduce Abstract DPLL, a general and simple abstract We introduce Abstract DPLL, a general and simple abstract rule-based formulation of the Davis-Putnam-Logemann-Loveland (DPLL) procedure. Its properties, such as soundness, completeness or termination, immediatel...

Phase error dynamics of a conventional second order Digital Phase Locked Loop (DPLL) and that of a newly proposed modified second order DPLL (MSODPLL) have been studied using digital computers. Ranges of initial conditions leading to the phase locking condition were determined from computer simulation of both conventional and modified second order DPLL. Lyapunov exponents were also examined, fo...

In this paper, a new digital phase-locked loop (DPLL) is proposed based on finite impulse response (FIR) filters. The proposed DPLL is more robust to incorrect noise information than the existing DPLL using fixed gain. We show the effectiveness of the proposed DPLL via a numerical example.

We study the relative best-case performance of DPLL-based structure-aware SAT solvers in terms of the power of the underlying proof systems. The systems result from (i) varying the style of branching and (ii) enforcing dynamic restrictions on the decision heuristics. Considering DPLL both with and without clause learning, we present a relative efficiency hierarchy for refinements of DPLL result...

Itsykson and Sokolov in 2014 introduced the class of DPLL(⊕) algorithms that solve Boolean satisfiability problem using the splitting by linear combinations of variables modulo 2. This class extends the class of DPLL algorithms that split by variables. DPLL(⊕) algorithms solve in polynomial time systems of linear equations modulo 2 that are hard for DPLL, PPSZ and CDCL algorithms. Itsykson and ...

In this paper we are using new method called “A fast –locking digital DPLL using integrator and diffentiator controlling with VHDL AMS and Matlab. This method reduces the locking Time and improves performance of DPLL. In the Previous method the fast locking DPLL operation Reduces the lock time by a factor about 4.10 Compared to its conventional DPLL counterpart. But the proposed method more eff...

At CAV’04 we presented the DPLL(T ) approach for satisfiability modulo theories T . It is based on a general DPLL(X) engine whose X can be instantiated with different theory solvers Solver T for conjunctions of literals. Here we go one important step further: we require Solver T to be able to detect all input literals that are T -consequences of the partial model that is being explored by DPLL(...

The realization of a digital phase-locked loop (DPLL) requires to choose a suitable phase detector and to design an appropriate loop filter; these tasks are commonly nontrivial in most applications. In this paper, the phase detector is examined, and a simple model is given to describe the characteristics of the timing function. The DPLL system is then formulated as a state estimation problem; t...