LATTICES OF THEORIES IN LANGUAGES WITHOUT EQUALITY
LATTICES OF THEORIES IN LANGUAGES WITHOUT EQUALITY

Propositional Logic: Why? soning Starts with George Boole around 1850
Propositional Logic: Why? soning Starts with George Boole around 1850

Homomorphism Problems for First-Order Definable
Homomorphism Problems for First-Order Definable

Propositional Logic: Normal Forms
Propositional Logic: Normal Forms

1 Introduction - Institute for Logic, Language and Computation
1 Introduction - Institute for Logic, Language and Computation

Expressive Completeness for Metric Temporal Logic
Expressive Completeness for Metric Temporal Logic

1.1 - Functions, Domain, and Range
1.1 - Functions, Domain, and Range

a small observation on co-categories
a small observation on co-categories

Witness and Counterexample Automata for ACTL
Witness and Counterexample Automata for ACTL

A Primer on Infinitary Logic
A Primer on Infinitary Logic

Chapter 1 Distance Adding Mixed Numbers Fractions of the same
Chapter 1 Distance Adding Mixed Numbers Fractions of the same

Definability in Boolean bunched logic
Definability in Boolean bunched logic

... Proof. In each case we build models M and M 0 such that there is a bounded morphism from M to M 0 , but M has the property ...
Chapter 2: Introduction to Propositional Logic
Chapter 2: Introduction to Propositional Logic

Introduction to Mathematical Logic
Introduction to Mathematical Logic

Relational Theories with Null Values and Non-Herbrand
Relational Theories with Null Values and Non-Herbrand

Part 1 - Logic Summer School
Part 1 - Logic Summer School

Chapter 3b
Chapter 3b

Bounded Functional Interpretation
Bounded Functional Interpretation

Logic and Computation Lecture notes Jeremy Avigad Assistant Professor, Philosophy
Logic and Computation Lecture notes Jeremy Avigad Assistant Professor, Philosophy

Appendix A Sets, Relations and Functions
Appendix A Sets, Relations and Functions

Bellwork: Simplify each, without a calculator
Bellwork: Simplify each, without a calculator

Basic Metatheory for Propositional, Predicate, and Modal Logic
Basic Metatheory for Propositional, Predicate, and Modal Logic

... That every formula of L P expresses a truth function raises the issue of whether every truth function is expressed by some formula of L P . The issue here hinges on the connectives of L P . A set of connectives in an interpreted language (i.e., a language together with its semantics) for proposition ...
On sets, functions and relations
On sets, functions and relations

pdf
pdf

Arithmetic as a theory modulo
Arithmetic as a theory modulo

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.