pdf file
pdf file

Action Logic and Pure Induction
Action Logic and Pure Induction

File
File

... Since the natural languages are not satisfactory to serve this purpose. It is necessary to develop the formal language called the ‘object language’. The first half of this unit concerned with the development and analysis of the object language without considering its use in the theory of inference. ...
First-Order Proof Theory of Arithmetic
First-Order Proof Theory of Arithmetic

Logic 1 Lecture Notes Part I: Propositional Logic
Logic 1 Lecture Notes Part I: Propositional Logic

Introduction to Mathematical Logic lecture notes
Introduction to Mathematical Logic lecture notes

Semantic Consistency Proofs for Systems of Illative Combinatory Logic
Semantic Consistency Proofs for Systems of Illative Combinatory Logic

Propositions as [Types] - Research Showcase @ CMU
Propositions as [Types] - Research Showcase @ CMU

Symbolic Logic II
Symbolic Logic II

Strong Completeness and Limited Canonicity for PDL
Strong Completeness and Limited Canonicity for PDL

Aristotle, Boole, and Categories
Aristotle, Boole, and Categories

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

A Simple and Practical Valuation Tree Calculus for First
A Simple and Practical Valuation Tree Calculus for First

A BRIEF INTRODUCTION TO MODAL LOGIC Introduction Consider
A BRIEF INTRODUCTION TO MODAL LOGIC Introduction Consider

Canonicity and representable relation algebras
Canonicity and representable relation algebras

Automata-Theoretic Model Checking Lili Anne Dworkin Advised by Professor Steven Lindell
Automata-Theoretic Model Checking Lili Anne Dworkin Advised by Professor Steven Lindell

overhead 8/singular sentences [ov]
overhead 8/singular sentences [ov]

Semantical evaluations as monadic second-order
Semantical evaluations as monadic second-order

1 . 1 Domain, Range, and End Behavior
1 . 1 Domain, Range, and End Behavior

PROBLEM SOLVING THROUGH FIRST-ORDER LOGIC
PROBLEM SOLVING THROUGH FIRST-ORDER LOGIC

A GUIDE FOR MORTALS TO TAME CONGRUENCE THEORY Tame
A GUIDE FOR MORTALS TO TAME CONGRUENCE THEORY Tame

THE SEMANTICS OF MODAL PREDICATE LOGIC II. MODAL
THE SEMANTICS OF MODAL PREDICATE LOGIC II. MODAL

higher-order logic - University of Amsterdam
higher-order logic - University of Amsterdam

The Gödelian inferences - University of Notre Dame
The Gödelian inferences - University of Notre Dame

... Viewing meta-mathematics extensionally is natural, but hardly methodologically neutral. Suppose that S doesn’t prove ⊥ and is sufficiently strong so that G2 applies to S. May one draw the first Gödelian inference and say that S does not prove its own consistency? This depends on whether the unprov ...
MATH 473: EULER`S FORMULA Here is Euler`s Formula
MATH 473: EULER`S FORMULA Here is Euler`s Formula

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.