Results 1 
4 of
4
A satisfiability tester for nonclausal propositional calculus
 Information and Computation
, 1988
"... An algorithm for satisfiability testing in the propositional calculus with a worst case running time that grows at a rate less than 2 (.25+ε) L is described, where L can be either the length of the input expression or the number of occurrences of literals (i.e., leaves) in it. This represents a new ..."
Abstract

Cited by 15 (1 self)
 Add to MetaCart
An algorithm for satisfiability testing in the propositional calculus with a worst case running time that grows at a rate less than 2 (.25+ε) L is described, where L can be either the length of the input expression or the number of occurrences of literals (i.e., leaves) in it. This represents a new upper bound on the complexity of nonclausal satisfiability testing. The performance is achieved by using lemmas concerning assignments and pruning that preserve satisfiability, together with choosing a "good " variable upon which to recur. For expressions in conjunctive normal form, it is shown that an upper bound is 2.128 L.
The Complexity of Automated Reasoning
, 1989
"... This thesis explores the relative complexity of proofs produced by the automatic theorem proving procedures of analytic tableaux, linear resolution, the connection method, tree resolution and the DavisPutnam procedure. It is shown that tree resolution simulates the improved tableau procedure and th ..."
Abstract

Cited by 9 (0 self)
 Add to MetaCart
This thesis explores the relative complexity of proofs produced by the automatic theorem proving procedures of analytic tableaux, linear resolution, the connection method, tree resolution and the DavisPutnam procedure. It is shown that tree resolution simulates the improved tableau procedure and that SLresolution and the connection method are equivalent to restrictions of the improved tableau method. The theorem by Tseitin that the DavisPutnam Procedure cannot be simulated by tree resolution is given an explicit and simplified proof. The hard examples for tree resolution are contradictions constructed from simple Tseitin graphs.
NANOTECHNOLOGY
, 2008
"... doi:10.1088/09574484/19/39/395103 The use of gold nanoparticle aggregation for DNA computing and logicbased biomolecular detection ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
doi:10.1088/09574484/19/39/395103 The use of gold nanoparticle aggregation for DNA computing and logicbased biomolecular detection
1 A Satisfiability Tester for NonClausal Propositional Calculus
"... AbstractAn algorithm for satisfiability testing in the propositional calculus with a worst case running time that grows at a rate less than 2 (.25+e) L is described, where L can be either the length of theinput expression or the number of occurrences of literals (i.e., leaves) in it. This represents ..."
Abstract
 Add to MetaCart
AbstractAn algorithm for satisfiability testing in the propositional calculus with a worst case running time that grows at a rate less than 2 (.25+e) L is described, where L can be either the length of theinput expression or the number of occurrences of literals (i.e., leaves) in it. This represents a new upper bound on the complexity of nonclausal satisfiability testing. The performance isachieved by using lemmas concerning assignments and pruning that preserve satisfiability, together with choosing a "good " variable upon which to recur. For expressions in conjunctivenormal form, it is shown that an upper bound is 2.128 L.