We prove an exponential lower bound on the size of proofs in the proof system operating with ordered binary decision diagrams introduced by Atserias, Kolaitis and Vardi [2]. In fact, the lower bound applies to semantic derivations operating with sets defined by OBDDs. We do not assume any particular format of proofs or ordering of variables, the hard formulas are in CNF. We utilize (somewhat indirectly) feasible interpolation. We define a proof system combining resolution and the OBDD proof system
AbstractThe main result of this paper is a polynomial time algorithm that minimizes the number of no...
Many Boolean functions have short representations by OBDDs (ordered binary decision diagrams), if ap...
AbstractIn many applications like verification or combinatorial optimization, ordered binary decisio...
Set bounds propagation is the most popular approach to solving constraint satisfaction problems (CSP...
There are many dierent ways of proving formulas in proposition logic. Many of these can easily be ch...
We show that tree-like OBDD proofs of unsatisfiability require an exponential increase (s 7
Abstract. Ordered binary decision diagrams (OBDDs) are nowadays the most common dynamic data structu...
There are many different ways of proving formulas in proposition logic. Many of these can easily be ...
Known upper bounds on the number of required nodes (size) in the ordered binary and multiple-valued ...
Atserias, Kolaitis, and Vardi showed that the proof system of Ordered Binary Decision Diagrams with ...
AbstractOrdered binary decision diagrams (OBDDs) are nowadays the most common dynamic data structure...
Abstract. Most propagation-based set constraint solvers approximate the set of possible sets that a ...
AbstractOrdered Binary Decision Diagrams (OBDDs) and Free Binary Decision Diagrams (FBDDs) are data ...
AbstractWe consider the size of the representation of Boolean functions by several classes of binary...
Abstract. The efficiency of constraint solvers depends heavily on the representation that is used fo...
AbstractThe main result of this paper is a polynomial time algorithm that minimizes the number of no...
Many Boolean functions have short representations by OBDDs (ordered binary decision diagrams), if ap...
AbstractIn many applications like verification or combinatorial optimization, ordered binary decisio...
Set bounds propagation is the most popular approach to solving constraint satisfaction problems (CSP...
There are many dierent ways of proving formulas in proposition logic. Many of these can easily be ch...
We show that tree-like OBDD proofs of unsatisfiability require an exponential increase (s 7
Abstract. Ordered binary decision diagrams (OBDDs) are nowadays the most common dynamic data structu...
There are many different ways of proving formulas in proposition logic. Many of these can easily be ...
Known upper bounds on the number of required nodes (size) in the ordered binary and multiple-valued ...
Atserias, Kolaitis, and Vardi showed that the proof system of Ordered Binary Decision Diagrams with ...
AbstractOrdered binary decision diagrams (OBDDs) are nowadays the most common dynamic data structure...
Abstract. Most propagation-based set constraint solvers approximate the set of possible sets that a ...
AbstractOrdered Binary Decision Diagrams (OBDDs) and Free Binary Decision Diagrams (FBDDs) are data ...
AbstractWe consider the size of the representation of Boolean functions by several classes of binary...
Abstract. The efficiency of constraint solvers depends heavily on the representation that is used fo...
AbstractThe main result of this paper is a polynomial time algorithm that minimizes the number of no...
Many Boolean functions have short representations by OBDDs (ordered binary decision diagrams), if ap...
AbstractIn many applications like verification or combinatorial optimization, ordered binary decisio...