Optimization of the Boolean Function Representing Transition Relation

Representing free Boolean algebras

Partitioner algebras are defined in [2] and are natural tools for studying the properties of maximal almost disjoint families of subsets of ω. In this paper we investigate which free algebras can be represented as partitioner algebras or as subalgebras of partitioner algebras. In so doing we answer a question raised in [2] by showing that the free algebra with א1 generators is represented. It w...

azerbaijans political development after the collapse of soviet union and implication on relation with the islamic republic of iran

در فصل اول این پایاین نامه در خصوص تاریخ کشور اذربایجان قبل و بعد از جدایی این کشور از ایران مورد بررسی قرار گرفته است ودر فصل دوم تحولات سیاسی این کشور بعد از 1991 و در واقع بعد از فروپاشی شوروی و دولتهایی که روی کار امدند در از جمله دولت ابولفضل ایلچی بیگ،دولت حیدر علی اف وبعد از او پسرش الهام علی اف و نگرش هرکدام از این دولتها به سیاسیت خارجی اذربایجان مورد اشاره قرار گرفته است.در ودر فصل سو...

On Boolean Encodings of Transition Relation for Parallel Compositions of Transition Systems

We present and compare different Boolean encodings of the transition relation for the parallel composition of transition systems, both for the asynchronous and the synchronous semantics. We compare the encodings considered by applying them to the SAT-based bounded model checking (BMC) of ECTL∗ properties. We provide experimental results which show that our new encoding for the asynchronous sema...

SBDD - Representing Sets of Boolean Functions

Representing Boolean Functions as Linear Pseudo-Boolean Constraints

A linear pseudo-Boolean constraint (LPB) is an expression of the form a1 · l1 + . . .+am · lm ≥ d, where each li is a literal (it assumes the value 1 or 0 depending on whether a propositional variable xi is true or false) and the a1, . . . , am, d are natural numbers. The formalism can be viewed as a generalisation of a propositional clause. It has been said that LPBs can be used to represent B...