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An Introduction to SOFL
An Introduction to SOFL

... The use of parenthesis An expression is interpreted by applying the operator priority order unless parenthesis is used. For example: the expression not p and q or r <=> p => q and r is equivalent to the expression: (((not p) and q) or r) <=> (p => (q and r)) Parenthesis can be used to change the pr ...
First Order Predicate Logic
First Order Predicate Logic

... Example - Cont… Solution: Consider the following cases: – If x = 1, then ∃ 2 ∈ D such that I[P(1, 2)] = T – If x = 2, then ∃ 1 ∈ D such that I[P(2, 1)] = T ...
On Perfect Introspection with Quantifying-in
On Perfect Introspection with Quantifying-in

Chapter One {Word doc}
Chapter One {Word doc}

... as everyone is short, but that changes the meaning. If we have a basketball team ...
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propositions and connectives propositions and connectives
propositions and connectives propositions and connectives

... two-valued logic – every sentence is either true or false some sentences are minimal – no proper part which is also a sentence others – can be taken apart into smaller parts we can build larger sentences from smaller ones by using connectives ...
An Abridged Report - Association for the Advancement of Artificial
An Abridged Report - Association for the Advancement of Artificial

Computers and Logic/Boolean Operators
Computers and Logic/Boolean Operators

9. “… if and only if …”
9. “… if and only if …”

Proofs as Efficient Programs - Dipartimento di Informatica
Proofs as Efficient Programs - Dipartimento di Informatica

... Alma Mater Studiorum – Università di Bologna Dipartimento di Scienze dell’Informazione ...
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• Propositional definite clauses ctd • Monotone functions and power

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Elements of Finite Model Theory
Elements of Finite Model Theory

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Search problems

Least and greatest fixed points in linear logic
Least and greatest fixed points in linear logic

A Calculus for Belnap`s Logic in Which Each Proof Consists of Two
A Calculus for Belnap`s Logic in Which Each Proof Consists of Two

... This is the notion of entailment considered in Belnap [5, 6], but not that of Arieli & Avron [1], who use a single-barrelled notion. The two notions of entailment are coextensional on sets of formulas based on classical connectives only, but not on formulas based on a functionally complete set of co ...
An Axiomatization of G'3
An Axiomatization of G'3

Normal modal logics (Syntactic characterisations)
Normal modal logics (Syntactic characterisations)

proceedings version
proceedings version

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

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Review - Gerry O nolan

An Introduction to Modal Logic VII The finite model property
An Introduction to Modal Logic VII The finite model property

Structural Multi-type Sequent Calculus for Inquisitive Logic
Structural Multi-type Sequent Calculus for Inquisitive Logic

Discrete Mathematics - Lyle School of Engineering
Discrete Mathematics - Lyle School of Engineering

Chapter 1: The Foundations: Logic and Proofs
Chapter 1: The Foundations: Logic and Proofs

< 1 ... 8 9 10 11 12 13 14 15 16 ... 23 >

Syllogism

A syllogism (Greek: συλλογισμός syllogismos, ""conclusion, inference"") is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two or more propositions that are asserted or assumed to be true.In its earliest form, defined by Aristotle, from the combination of a general statement (the major premise) and a specific statement (the minor premise), a conclusion is deduced. For example, knowing that all men are mortal (major premise) and that Socrates is a man (minor premise), we may validly conclude that Socrates is mortal. Syllogistic arguments are usually represented in a three-line form (without sentence-terminating periods):All men are mortalSocrates is a manTherefore, Socrates is mortal
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