mathematical logic, a logic L has the finite model property (fmp for short) if any non-theorem of L is falsified by some finite model of L. Another way of putting...

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...

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)...

Sahlqvist formulas. A logic has the finite model property (FMP) if it is complete with respect to a class of finite frames. An application of this notion...

population has been normalized to 1. A typical finite-dimensional mixture model is a hierarchical model consisting of the following components: N random...

in Cameroon FileMaker Pro, a cross-platform database application Finite model property, in logic Fuero Militar Policial, a military and police court in...

the finite model property, one can characterize projective formulas semantically as those whose set of finite L-models has the extension property: if...

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 principle...

that has the finite model property, the problems of satisfiability and finite satisfiability coincide, as a formula of that logic has a model if and only...

Unsolved problem in mathematics Do the Henson graphs have the finite model property? More unsolved problems in mathematics In graph theory, the Henson...

Sahlqvist formulas. A logic has the finite model property (FMP) if it is complete with respect to a class of finite frames. An application of this notion...

languages, finite machine notations, and mathematical formalisms such as Z, B (Event-B), Alloy or Coq. There are various known ways to deploy model-based testing...

Typical Ambiguity Theorem). A corollary of this is that the finite model property holds, i.e. finite sets are sufficient to distinguish terms that are not identified...

plane model of n+1 dimensional hyperbolic space in Rn+1 projects to Rn, and the inverse image of P under this projection is a geometrically finite polyhedron...

satisfy the independence property—that is, if none of its formulae can pick out any given subset of an arbitrarily large finite set. Let T be a complete...

Finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical...

a model of cardinality continuum? Do the Henson graphs have the finite model property? Does a finitely presented homogeneous structure for a finite relational...

first-order sentences has a model if and only if every finite subset of it has a model. This theorem is an important tool in model theory, as it provides a...

finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements. As with any field, a finite...

"A Finite Markov Chain Model of the Combat Process". Naval Postgraduate School. Duncan, George T.; Siverson, Randolph M. (1975). "Markov Chain Models for...

interface of finite and infinite model theory are algorithmic or computable model theory and the study of 0-1 laws, where the infinite models of a generic...

A virtual finite-state machine (VFSM) is a finite-state machine (FSM) defined in a virtual environment. The VFSM concept provides a software specification...

two conditions: Hereditary property (HP) If A ∈ K {\displaystyle A\in \mathbf {K} } and B {\displaystyle B} is a finitely generated substructure of A...

A finite-state transducer (FST) is a finite-state machine with two memory tapes, following the terminology for Turing machines: an input tape and an output...

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

A large language model (LLM) is a language model trained with self-supervised machine learning on a vast amount of text, designed for natural language...

as partial differential equations. With numerical models, geologists can use methods, such as finite difference methods, to approximate the solutions of...

models to capture finite-state machines, Warren McCulloch and Walter Pitts were among the first researchers to introduce a concept similar to finite automata...

A finite geometry is any geometric system that has only a finite number of points. The familiar Euclidean geometry is not finite, because a Euclidean line...

almost all random finite graphs, and the sentences that are false for the Rado graph are also false for almost all finite graphs. In model theory, the Rado...