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Plausibility structures for default reasoning
Plausibility structures for default reasoning

... Friedman and Halpern have introduced inference by plausibility and shown it to encompass various kinds of default reasoning [4, 5]. A feature of this inference is that the rule (AND) – if ψ1 and ψ2 can be derived, then their conjunction ψ1 ∧ ψ2 can be derived – is not necessarily satisfied. Many int ...
Strong Normalisation for a Gentzen-like Cut
Strong Normalisation for a Gentzen-like Cut

THE PARADOXES OF STRICT IMPLICATION John L
THE PARADOXES OF STRICT IMPLICATION John L

Fibrations of Predicates and Bicategories of Relations
Fibrations of Predicates and Bicategories of Relations

some results on locally finitely presentable categories
some results on locally finitely presentable categories

Area - Miss B`s Resources
Area - Miss B`s Resources

... dropped from 2 ºC to -4 ºC. By how many degrees did the temperature fall? ...
Labeled Natural Deduction for Temporal Logics
Labeled Natural Deduction for Temporal Logics

Derived Algebraic Geometry XI: Descent
Derived Algebraic Geometry XI: Descent

An Introduction to Algebraic Number Theory, and the Class Number
An Introduction to Algebraic Number Theory, and the Class Number

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PDF

... In earlier work, the Abstract State Machine Thesis — that arbitrary algorithms are behaviorally equivalent to abstract state machines — was established for several classes of algorithms, including ordinary, interactive, small-step algorithms. This was accomplished on the basis of axiomatizations of ...
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part 1

Hodge Cycles on Abelian Varieties
Hodge Cycles on Abelian Varieties

VersaTiles(R) Algebra 1
VersaTiles(R) Algebra 1

Hilbert`s Program Then and Now - Philsci
Hilbert`s Program Then and Now - Philsci

... In about 1920, Hilbert came to reject Russell’s logicist solution to the consistency problem for arithmetic, mainly for the reason that the axiom of reducibility cannot be accepted as a purely logical axiom. In lectures from the Summer term 1920, he concluded that “the aim of reducing set theory, an ...
A Unified View of Induction Reasoning for First-Order Logic
A Unified View of Induction Reasoning for First-Order Logic

Color - Alex Kocurek
Color - Alex Kocurek

... some of which we will discuss below. But many such languages face further expressivity limitations themselves.7 Corresponding expressive limitations also arise for first-order temporal logic, though we will mostly focus on the modal versions until the end of this paper. Very often, these inexpressib ...
Computer Science Foundation Exam
Computer Science Foundation Exam

Projection, Consistency, and George Boole
Projection, Consistency, and George Boole

Full Text  - Institute for Logic, Language and Computation
Full Text - Institute for Logic, Language and Computation

... decades later. In fact, Ramsey3 proposes a thought experiment to judge the truth-value of a conditional. Technically, the use of the Bayesian conception of probability enables us to give a formal apparatus to this conception. Just after the Second World War, the field became autonomous with Goodman ...
On Weak Ground
On Weak Ground

... ground (perhaps in concert with some further facts Γ) all of the facts strictly grounded (perhaps in concert with Γ) by φ.10 Assuming (as PLG requires) that 7 This objection presupposes that the facts available to serve as truthmakers are restricted to those that actually obtain. Although Fine endor ...
Basic Algebra Skills
Basic Algebra Skills

Divide and congruence: From decomposition of modal formulas to preservation of branching and eta-bisimilarity
Divide and congruence: From decomposition of modal formulas to preservation of branching and eta-bisimilarity

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1. Proof Techniques

A characterization of adequate semigroups by forbidden
A characterization of adequate semigroups by forbidden

... than just F and M. For instance, every right regular band (that is, every idempotent semigroup in which L is the equality relation) which is not a semilattice is left amiable but not left adequate. Problem 3.1. Extend the Main Theorem to characterize left amiable semigroups which are not left adequa ...
beliefrevision , epistemicconditionals andtheramseytest
beliefrevision , epistemicconditionals andtheramseytest

< 1 2 3 4 5 6 7 8 ... 163 >

Laws of Form

Laws of Form (hereinafter LoF) is a book by G. Spencer-Brown, published in 1969, that straddles the boundary between mathematics and philosophy. LoF describes three distinct logical systems: The primary arithmetic (described in Chapter 4 of LoF), whose models include Boolean arithmetic; The primary algebra (Chapter 6 of LoF), whose models include the two-element Boolean algebra (hereinafter abbreviated 2), Boolean logic, and the classical propositional calculus; Equations of the second degree (Chapter 11), whose interpretations include finite automata and Alonzo Church's Restricted Recursive Arithmetic (RRA).Boundary algebra is Dr Philip Meguire's (2011) term for the union of the primary algebra (hereinafter abbreviated pa) and the primary arithmetic. ""Laws of Form"" sometimes loosely refers to the pa as well as to LoF.
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