Finite model theory is a subarea of model theory. Model theory is the branch of logic which deals with the relation between a formal language (syntax)...

In mathematical logic, model theory is the study of the relationship between formal theories (a collection of sentences in a formal language expressing...

In logic, finite model theory, and computability theory, Trakhtenbrot's theorem (due to Boris Trakhtenbrot) states that the problem of validity in first-order...

mathematics, particularly set theory, a finite set is a set that has a finite number of elements. Informally, a finite set is a set which one could in...

A finite-state machine (FSM) or finite-state automaton (FSA, plural: automata), finite automaton, or simply a state machine, is a mathematical model of...

importance in finite model theory and its applications in computer science (specifically computer aided verification and database theory), since Ehrenfeucht–Fraïssé...

complexity and expressive power of queries, finite model theory, database design theory, dependency theory, foundations of concurrency control and database...

Descriptive complexity is a branch of computational complexity theory and of finite model theory that characterizes complexity classes by the type of logic...

belongs in the general class of grid-based differential numerical modeling methods (finite difference methods). The time-dependent Maxwell's equations (in...

and T that will be satisfied in any model if and only if T is the transitive closure of R. In finite model theory, first-order logic (FO) extended with...

the model's structure. In first-order logic, only theories with a finite model can be categorical. Higher-order logic contains categorical theories with...

model if and only if it has a finite model. This question is important in the mathematical field of finite model theory. Finite satisfiability and satisfiability...

Joel Spencer, Moshe Y. Vardi, Yde Venema, Scott Weinstein (2007). Finite model theory and its applications. Springer. ISBN 978-3-540-00428-8.{{cite book}}:...

more specifically in computability theory and computational complexity theory, a model of computation is a model which describes how an output of a mathematical...

scientist working in the areas of data management, database theory, and finite model theory. The son of two hardware store owners, Abiteboul attended high-school...

In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations and relations that are defined on...

In computer science, model checking or property checking is a method for checking whether a finite-state model of a system meets a given specification...

infinite model theory. Finite model theory, on the other hand, deals almost exclusively with finite signatures. It is easy to see that for every finite signature...

cosmology, the steady-state model or steady state theory is an alternative to the Big Bang theory. In the steady-state model, the density of matter in the...

is an L-theorem if and only if A is a theorem of the theory of finite models of L. If L is finitely axiomatizable (and has a recursive set of inference...

theory, hereditarily finite sets are defined as finite sets whose elements are all hereditarily finite sets. In other words, the set itself is finite...

framework of pregeometries. In the branch of mathematical logic called model theory, infinite finitary matroids, there called "pregeometries" (and "geometries"...

algebraic geometry, Galois theory, finite geometry, cryptography and coding theory. A finite field is a finite set that is a field; this means that...

large finite set. Let T be a complete L-theory. An L-formula φ(x,y) is said to have the independence property (with respect to x, y) if in every model M of...

applications of logic to computer science, including database theory, finite model theory, knowledge of multi-agent systems, computer-aided verification...

logic. There is a finite second-order theory whose only model is the real numbers if the continuum hypothesis holds and that has no model if the continuum...

mathematical field of model theory, a theory is called stable if it satisfies certain combinatorial restrictions on its complexity. Stable theories are rooted in...

one of A, B, and C. A finite union is the union of a finite number of sets; the phrase does not imply that the union set is a finite set. The most general...

Almaden Research Center. He is known for his work in database theory, finite model theory, and reasoning about knowledge. Ron Fagin was born and grew up...

In the mathematical fields of graph theory and finite model theory, the logic of graphs deals with formal specifications of graph properties using sentences...