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

PREPOSITIONAL LOGIS
PREPOSITIONAL LOGIS

Problem Set 3
Problem Set 3

chapter 16
chapter 16

... — A conditional proof (or conditional derivation) is an ordered list of sentences in which every sentence is either a premise, is the special assumption for conditional derivation, or is derived from earlier lines (not within a completed subproof) using an inference rule. If the assumption for condi ...
Logical Implications
Logical Implications

Exam-Computational_Logic-Subjects_2016
Exam-Computational_Logic-Subjects_2016

Proof theory for modal logic
Proof theory for modal logic

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

... axiomatization of PDL is presented that is directly comparable with the logic PDLω investigated here. However, the completeness results in these publications rely on Lindenbaum’s lemma (every consistent set is contained in a maximal consistent set) for compact logics, whereas the logic in question i ...
Curry`s paradox, Lukasiewicz, and Field
Curry`s paradox, Lukasiewicz, and Field

Palo Alto 2016 - Stanford Introduction to Logic
Palo Alto 2016 - Stanford Introduction to Logic

Elements of Modal Logic - University of Victoria
Elements of Modal Logic - University of Victoria

... It can be proved that L(Spc ) = pc. Thus, every system is associated with a logic, and every logic is associated with a system. (If all else fails, we can always form a system with A = L and with R empty.) For this reason, we will often use the term ‘logic’ to refer to both logics and systems. For e ...
Practice Problem Set 1
Practice Problem Set 1

Propositional/First
Propositional/First

Identity and Philosophical Problems of Symbolic Logic
Identity and Philosophical Problems of Symbolic Logic

On Provability Logic
On Provability Logic

Two Marks with Answer: all units 1. Describe the Four Categories
Two Marks with Answer: all units 1. Describe the Four Categories

... 11. Define Forward And Backward Chaining. Differentiate The Same. There Are Two Main Methods Of Reasoning When Using Inference Rules: Backward Chaining And Forward Chaining. Forward Chaining Starts With The Data Available And Uses The Inference Rules To Conclude More Data Until A Desired Goal Is Rea ...
A Propositional Modal Logic for the Liar Paradox Martin Dowd
A Propositional Modal Logic for the Liar Paradox Martin Dowd

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

6. Truth and Possible Worlds
6. Truth and Possible Worlds

A short article for the Encyclopedia of Artificial Intelligence: Second
A short article for the Encyclopedia of Artificial Intelligence: Second

Intro to First
Intro to First

... be explicit or implicit. If I say “everything is greater than or equal to 0,” I may be referring to the set natural numbers implicitly. If I say “every natural number is greater than or equal to 0,” I am explicitly using the word “every” to range over natural numbers. To handle cases where the expli ...
Lesson 1
Lesson 1

Robot Morality and Review of classical logic.
Robot Morality and Review of classical logic.

... A set of premises  logically entails a conclusion  (written as  |= ) if and only if every interpretation that satisfies the premises also satisfies the conclusion and every interpretation that satisfies the conclusion also satisfies the premises. If and only if is in definition, this is equality ...
10a
10a

THE HISTORY OF LOGIC
THE HISTORY OF LOGIC

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Modal logic

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