Multiverse Set Theory and Absolutely Undecidable Propositions
Multiverse Set Theory and Absolutely Undecidable Propositions

An Introduction to Proof Theory - UCSD Mathematics
An Introduction to Proof Theory - UCSD Mathematics

preliminary version
preliminary version

5. Equivalence Relations
5. Equivalence Relations

Universal enveloping algebras and some applications in physics
Universal enveloping algebras and some applications in physics

9.1 The Square Root Function
9.1 The Square Root Function

A syntactic congruence for languages of birooted trees
A syntactic congruence for languages of birooted trees

Safety Metric Temporal Logic is Fully Decidable
Safety Metric Temporal Logic is Fully Decidable

splitting in relation algebras - American Mathematical Society
splitting in relation algebras - American Mathematical Society

Compositional reasoning using intervals and time reversal
Compositional reasoning using intervals and time reversal

NON-SEMIGROUP GRADINGS OF ASSOCIATIVE ALGEBRAS Let A
NON-SEMIGROUP GRADINGS OF ASSOCIATIVE ALGEBRAS Let A

Deep Sequent Systems for Modal Logic
Deep Sequent Systems for Modal Logic



On the Question of Absolute Undecidability
On the Question of Absolute Undecidability

notes on cartier duality
notes on cartier duality

One-parameter subgroups and Hilbert`s fifth problem
One-parameter subgroups and Hilbert`s fifth problem

Relations – Chapter 11 of Hammack
Relations – Chapter 11 of Hammack

Scattered Sentences have Few Separable Randomizations
Scattered Sentences have Few Separable Randomizations

Notes on Mathematical Logic David W. Kueker
Notes on Mathematical Logic David W. Kueker

... in a formal language in which the basic concepts are represented by symbols (like P , Q) without any standard or intuitive meanings to mislead one. Thus the fundamental building blocks of our model are the following: (1) a formal language L, (2) sentences of L: σ, θ, . . ., (3) interpretations for L ...
Chapter X: Computational Complexity of Propositional Fuzzy Logics
Chapter X: Computational Complexity of Propositional Fuzzy Logics

logic for the mathematical
logic for the mathematical

Connections between relation algebras and cylindric algebras
Connections between relation algebras and cylindric algebras

J. Harding, Orthomodularity of decompositions in a categorical
J. Harding, Orthomodularity of decompositions in a categorical

AN EXPOSITION ANS DEVELOPMENT OF KANGER`S EARLY
AN EXPOSITION ANS DEVELOPMENT OF KANGER`S EARLY

Systems of modal logic - Department of Computing
Systems of modal logic - Department of Computing

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.