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DIPLOMAMUNKA
DIPLOMAMUNKA

Definability in Boolean bunched logic
Definability in Boolean bunched logic

... A property P of BBI-models is said to be definable if there exists a formula A such that for all BBI-models M , A is valid in M ⇐⇒ M ∈ P. We’ll consider properties that feature in various models of separation logic. To show a property is definable, just exhibit the defining ...
Chapter 5.5
Chapter 5.5

... 3) The measure of any obtuse angle is greater than 90. The sum of any two obtuse angles is greater than 180. This is a CONTRADICTION to the theorem that states that the sum of the angles of any triangle = 180. 4) Therefore, my assumption is false. A triangle cannot have two obtuse angles. ...
The logic of negationless mathematics
The logic of negationless mathematics

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PROPOSITIONAL LOGIC 1 Propositional Logic - Glasnost!

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Hybrid Interactive Theorem Proving using Nuprl and HOL?

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Notes for Numbers

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Algebraic Laws for Nondeterminism and Concurrency

... Authors’ address: Department of Computer Science, James Clerk Maxwell Building, The Kings Buildings, University of Edinburgh, Mayfield Road, Edinburgh EH9 352, Scotland. Permission to copy without fee all or part of this material is granted provided that the copies are not made or distributed for di ...
On the Complexity of the Equational Theory of Relational Action
On the Complexity of the Equational Theory of Relational Action

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THE ULTRAPRODUCT CONSTRUCTION 1. Introduction The

Implication - Abstractmath.org
Implication - Abstractmath.org

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24.241 Logic I Problem set 04 solutions

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Beyond Quantifier-Free Interpolation in Extensions of Presburger

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A BRIEF INTRODUCTION TO MODAL LOGIC Introduction Consider

... that no more or less could be derived from the modal form a statement P that from P itself. This claim has come to be seen as false. After all, if two statements are equivalent, they ought to imply each other. It seems reasonable to say that if P is the case then P must be a possible state of affair ...
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Truth-Functional Logic

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Provability as a Modal Operator with the models of PA as the Worlds

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Godel`s Proof

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Ans - Logic Matters

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Interactive Theorem Proving with Temporal Logic

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The Pure Calculus of Entailment Author(s): Alan Ross Anderson and

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Propositional logic - Cheriton School of Computer Science

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Formal Proof Example

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On presenting monotonicity and on EA=>AE (pdf file)
On presenting monotonicity and on EA=>AE (pdf file)

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Gödel's incompleteness theorems

Gödel's incompleteness theorems are two theorems of mathematical logic that establish inherent limitations of all but the most trivial axiomatic systems capable of doing arithmetic. The theorems, proven by Kurt Gödel in 1931, are important both in mathematical logic and in the philosophy of mathematics. The two results are widely, but not universally, interpreted as showing that Hilbert's program to find a complete and consistent set of axioms for all mathematics is impossible, giving a negative answer to Hilbert's second problem.The first incompleteness theorem states that no consistent system of axioms whose theorems can be listed by an ""effective procedure"" (i.e., any sort of algorithm) is capable of proving all truths about the relations of the natural numbers (arithmetic). For any such system, there will always be statements about the natural numbers that are true, but that are unprovable within the system. The second incompleteness theorem, an extension of the first, shows that such a system cannot demonstrate its own consistency.
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