a Decidable Language Supporting Syntactic Query Difference
a Decidable Language Supporting Syntactic Query Difference

Assumption Sets for Extended Logic Programs
Assumption Sets for Extended Logic Programs

On Gabbay`s temporal fixed point operator
On Gabbay`s temporal fixed point operator

1 Chapter III Set Theory as a Theory of First Order Predicate Logic
1 Chapter III Set Theory as a Theory of First Order Predicate Logic

... this structure that is usually referred to as the cumulative hierarchy. The cumulative hierarchy, then, is that structure which we get when, starting from the empty set, we generate sets by the iterative procedure just sketched and carrying on "ad infinitum", as we just put it. But what is "ad infin ...
Homogeneous structures, ω-categoricity and amalgamation
Homogeneous structures, ω-categoricity and amalgamation

Logical Consequence by Patricia Blanchette Basic Question (BQ
Logical Consequence by Patricia Blanchette Basic Question (BQ

tldd3
tldd3

Permutations and groups
Permutations and groups

HALL-LITTLEWOOD POLYNOMIALS, ALCOVE WALKS, AND
HALL-LITTLEWOOD POLYNOMIALS, ALCOVE WALKS, AND

slides
slides

Extended automorphic forms
Extended automorphic forms

Definability properties and the congruence closure
Definability properties and the congruence closure

Stable Models and Circumscription
Stable Models and Circumscription

Classical First-Order Logic Introduction
Classical First-Order Logic Introduction

... propositional logic, but also the symbols ∃ and ∀ for “there exists” and “for all”, along with various symbols to represent variables, constants, functions, and relations. ...
PDF
PDF

Specification Predicates with Explicit Dependency Information
Specification Predicates with Explicit Dependency Information

Failures of Categoricity and Compositionality for
Failures of Categoricity and Compositionality for

Lesson 2-1 part 1 Powerpoint - peacock
Lesson 2-1 part 1 Powerpoint - peacock

2. First Order Logic 2.1. Expressions. Definition 2.1. A language L
2. First Order Logic 2.1. Expressions. Definition 2.1. A language L

A HIGHER-ORDER FINE-GRAINED LOGIC FOR INTENSIONAL
A HIGHER-ORDER FINE-GRAINED LOGIC FOR INTENSIONAL

16. Homomorphisms 16.1. Basic properties and some examples
16. Homomorphisms 16.1. Basic properties and some examples

QUESTION BANK OF DISCRETE MATHEMATICS
QUESTION BANK OF DISCRETE MATHEMATICS

Lesson 2
Lesson 2

An Independence Result For Intuitionistic Bounded Arithmetic
An Independence Result For Intuitionistic Bounded Arithmetic

College Algebra Definitions and Procedures
College Algebra Definitions and Procedures

Structure (mathematical logic)

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 it. Universal algebra studies structures that generalize the algebraic structures such as groups, rings, fields and vector spaces. The term universal algebra is used for structures with no relation symbols.Model theory has a different scope that encompasses more arbitrary theories, including foundational structures such as models of set theory. From the model-theoretic point of view, structures are the objects used to define the semantics of first-order logic. For a given theory in model theory, a structure is called a model, if it satisfies the defining axioms of that theory, although it is sometimes disambiguated as a semantic model when one discusses the notion in the more general setting of mathematical models. Logicians sometimes refer to structures as interpretations.In database theory, structures with no functions are studied as models for relational databases, in the form of relational models.