Exam II Solutions
Exam II Solutions

ABSTRACT ALGEBRA 1, LECTURE NOTES 5: HOMOMORPHISMS
ABSTRACT ALGEBRA 1, LECTURE NOTES 5: HOMOMORPHISMS

Ambient Logic II.fm
Ambient Logic II.fm

.pdf
.pdf

Lesson 12
Lesson 12

GROUPS WITH FINITELY MANY COUNTABLE MODELS Dejan Ilić
GROUPS WITH FINITELY MANY COUNTABLE MODELS Dejan Ilić

... there are not many essentially distinct examples, some of them can be found in [6, 9, 12]. None of the known examples is based on an algebraic structure, for example on a group. In this article by a group we will mean a first order structure (G, ·, . . . ) such that (G, ·) is a group but an addition ...
Sequent calculus for predicate logic
Sequent calculus for predicate logic

Notes on Modal Logic - Stanford University
Notes on Modal Logic - Stanford University

presentation - Math.utah.edu
presentation - Math.utah.edu

On a Sequence Arising in Series for it
On a Sequence Arising in Series for it

Sets
Sets

Separating classes of groups by first–order sentences
Separating classes of groups by first–order sentences

full text (.pdf)
full text (.pdf)

Local deduction, deductive interpolation and amalgamation in
Local deduction, deductive interpolation and amalgamation in

Groups
Groups

Equivalence relations handout
Equivalence relations handout

CHAPTER 1 The main subject of Mathematical Logic is
CHAPTER 1 The main subject of Mathematical Logic is

(A B) |– A
(A B) |– A

+ n(n + 1)
+ n(n + 1)

The Formulae-as-Classes Interpretation of Constructive Set Theory
The Formulae-as-Classes Interpretation of Constructive Set Theory

printable
printable

DECISION PROBLEMS OF FINITE AUTOMATA DESIGN
DECISION PROBLEMS OF FINITE AUTOMATA DESIGN

(A B) |– A
(A B) |– A

When Bi-Interpretability Implies Synonymy
When Bi-Interpretability Implies Synonymy

File
File

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.