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Acrobat file - University of the Punjab
Acrobat file - University of the Punjab

... intermolecular forces. Statistical mechanics, statistical distribution and mean values, distribution of molecular speeds, distribution of energies, Brownian motion. Heat and Thermodynamics; heat, different theories of heat, specific heat, gram molecular specific heat, laws of thermodynamics, Zeroth ...
Combinaison des logiques temporelle et déontique pour la
Combinaison des logiques temporelle et déontique pour la

... In order to formally specify a security policy, it is natural to reason about time on the one hand, and obligations, permissions, and prohibitions on the other hand. Indeed, we have to express for instance the permission to access a resource for a certain period, the obligation to release a resource ...
Programming in Logic Without Logic Programming
Programming in Logic Without Logic Programming

... States and events can be represented with or without timestamps. The representation without timestamps (e.g. outdoors, reliable(bob)) facilitates destructive updates, because if a fact is not terminated by a set of events then the fact without timestamps simply persists from one state to the next. H ...
Expressive Power of SQL
Expressive Power of SQL

The Premiss-Based Approach to Logical Aggregation Franz Dietrich & Philippe Mongin
The Premiss-Based Approach to Logical Aggregation Franz Dietrich & Philippe Mongin

A Conditional Logical Framework *
A Conditional Logical Framework *

... Conditional Logical Framework LFK is the same exploited in [HLL07] for the General Logical Framework GLF. However, there is an important difference between the two frameworks in the definition of predicates. On one hand, predicates in [HLL07] are used both to determine whether β-reduction fires and ...
Frege, Boolos, and Logical Objects
Frege, Boolos, and Logical Objects

... and systematized E. Mally’s [1912] distinction between two modes of predication. Mally distinguished between an object’s ‘satisfying’ a property and an object’s being determined by a property. The formal reconstruction of Mally’s distinction was used to identify ‘intentional objects’ (such as fiction ...
Bounded negativity of Shimura curves
Bounded negativity of Shimura curves

... Here a lattice is called irreducible if it does not have a finite index subgroup that splits as a product of two lattices. Our geometric definition of Shimura varieties differs from the arithmetic literature on this subject where Shimura varieties are typically not connected. It is the point of view ...
Chapter 2 Propositional Logic
Chapter 2 Propositional Logic

... “for any integer n, if n is even, then n + 2 is even as well”. Just as “n” here is a variable for numbers, metalinguistic variables are variables for linguistic items. (We call them metalinguistic because they are variables we use in our metalanguage, in order to talk generally about the object lang ...
Principles of Quantum Universe
Principles of Quantum Universe

Consequence relations and admissible rules
Consequence relations and admissible rules

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

URL - StealthSkater
URL - StealthSkater

... About Fermi-Dirac and Bose-Einstein statistics, negentropic entanglement, Hawking radiation, and firewall paradox in TGD framework In quantum field theories (QFTs) defined in 4-D Minkowski space, spin statistics theorem forces spin statistics connection: fermions/bosons with half-odd integer/integer ...
Beyond Quantifier-Free Interpolation in Extensions of Presburger
Beyond Quantifier-Free Interpolation in Extensions of Presburger

Reductio ad Absurdum Argumentation in Normal Logic
Reductio ad Absurdum Argumentation in Normal Logic

... calculate its consequences, and make revisions to the initial assumptions if necessary in order to achieve 2-valued Completeness and Consistency. This is the road we propose now, revision of assumptions justified by means of Reductio ad Absurdum reasoning. This paper introduces a new method for defi ...
Simple multiplicative proof nets with units
Simple multiplicative proof nets with units

... criterion [Gir87, DR89]. Cut elimination on binary connectives is then trivial (as usual in the unit-free setting), and we have a direct strong normalisation by standard path composition: all of the dynamics happens in GoI(Setp), the geometry-of-interaction or feedback construction [Gir89, JSV96, Ab ...
full text (.pdf)
full text (.pdf)

... example, Aiken et al. 2] prove that mixed positive and negative set constraints are strictly more expressive than positive constraints alone. The proof of this result is based on a compactness lemma which states that a system of positive constraints is satisable if and only if all nite subsets ar ...
Hybrid Interactive Theorem Proving using Nuprl and HOL?
Hybrid Interactive Theorem Proving using Nuprl and HOL?

Acts of Commanding and Changing Obligations
Acts of Commanding and Changing Obligations

... not produce intended perlocutionary consequences. Thus, in the above example, even if you refuse to open the window in question, that will not make her command void. Your refusal would not constitute disobedience if it could make her command void. Her command is effective in a sense even if she has ...
Weyl`s Predicative Classical Mathematics as a Logic
Weyl`s Predicative Classical Mathematics as a Logic

... as described below. An LTT consists of a type theory augmented with a separate, primitive mechanism for forming and proving propositions. We introduce a new syntactic class of formulas, and new judgement forms for a formula being a well-formed proposition, and for a proposition being provable from g ...
On presenting monotonicity and on EA=>AE (pdf file)
On presenting monotonicity and on EA=>AE (pdf file)

... than rely directly on all the individual monotonicity properties (1)–(3), it is easier to rely on inference rules (6) and (7), which can be used to substantiate all such weakening/strengthening steps. We suggest the use of “Monotonic:” and “Antimonotonic:” to show reliance on these inference rules, ...
Mathematical Logic. An Introduction
Mathematical Logic. An Introduction

... Intuitively and also in our theory a word is a finite sequence of symbols. A symbol has some basic information about its role within words. E.g., the symbol 6 is usually used to stand for a binary relation. So we let symbols include such type information. We provide us with a sufficient collection o ...
On the Complexity of the Equational Theory of Relational Action
On the Complexity of the Equational Theory of Relational Action

Curry-Howard Isomorphism - Department of information engineering
Curry-Howard Isomorphism - Department of information engineering

... on the basis of Boolean algebras—and the soundness and completeness results are then proved. An informal proof semantics, the so-called BHKinterpretation, is also presented. Chapter 3 presents the simply typed λ-calculus and its most fundamental properties up to the subject reduction property and th ...
MoL-2013-07 - Institute for Logic, Language and Computation
MoL-2013-07 - Institute for Logic, Language and Computation

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Quantum logic

In quantum mechanics, quantum logic is a set of rules for reasoning about propositions that takes the principles of quantum theory into account. This research area and its name originated in a 1936 paper by Garrett Birkhoff and John von Neumann, who were attempting to reconcile the apparent inconsistency of classical logic with the facts concerning the measurement of complementary variables in quantum mechanics, such as position and momentum.Quantum logic can be formulated either as a modified version of propositional logic or as a noncommutative and non-associative many-valued (MV) logic.Quantum logic has some properties that clearly distinguish it from classical logic, most notably, the failure of the distributive law of propositional logic: p and (q or r) = (p and q) or (p and r),where the symbols p, q and r are propositional variables. To illustrate why the distributive law fails, consider a particle moving on a line and let p = ""the particle has momentum in the interval [0, +1/6]"
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