It is claimed in [45] that first-order theorem provers are not efficient for reasoning with ontologies based on description logics compared to specialised description logic reasone...
The last few years have seen the advent of a new breed of decision procedures for various fragments of first-order logic based on ional abstraction. A lazy satisfiability checker ...
Game quantification is an expressive concept and has been studied in model theory and descriptive set theory, especially in relation to infinitary logics. Automatic structures on t...
Abstract. Constraint databases that can be described by boolean combinations of polynomial inequalities over the reals have received ample research attention. In particular, the ex...
An important open question in complexity theory is whether the circuit complexity class TC0 is (strictly) weaker than LOGSPACE. This paper considers this question from the viewpoi...
Many domain specialists are not familiar or comfortable with formal notations and formal tools like theorem provers or model generators. To address this problem we developed Attem...
An automatic analysis method for first-order logic with sets and relations is described. A first-order formula is translated to a quantifier-free boolean formula, which has a mode...
Most languages for the Semantic Web have their logical basis in some fragment of first-order logic. Thus, integrating first-order logic with probability is fundamental for represen...
Abstract. Finite model search for first-order logic theories is complementary to theorem proving. Systems like Falcon, SEM and FMSET use the known LNH (Least Number Heuristic) heur...
The DPLL procedure is the basis of some of the most successful propositional satisfiability solvers to date. Although originally devised as a proofprocedure for first-order logic, ...